Abstract

We present simulation results for optical modes in micro-pillar cavities that were computed with the finite element method and that show good agreement with experimental data. By means of this viable tool various influences on the quality factor of the fundamental mode were calculated: Firstly, the light confinement depends strongly on the absorption of the semiconductor cavity material. Here we were able to determine absolute maximum quality factors achievable in a GaAs/AlAs Bragg micro-pillar cavity. Furthermore, small pillar diameters as well as the inclination of pillar sidewalls show critical features with respect to light confinement. Additional effects of the top and bottom Bragg stacks in the pillar were calculated as well.

© 2009 Optical Society of America

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    [CrossRef]

2008 (2)

M. Karl, T. Beck, S. Li, H. Kalt, and M. Hetterich, "Q-factor and density of optical modes in pyramidal and cone-shaped GaAs microcavities," Appl. Phys. Lett. 92, 231105 (2008).
[CrossRef]

M. Benyoucef, S. Kiravittaya, Y. F. Mei, A. Rastelli, and O. G. Schmidt, "Strongly coupled semiconductor microcavities: A route to couple artificial atoms over micrometric distances," Phys. Rev. B 77, 035108 (2008).
[CrossRef]

2007 (8)

M. Karl, S. Li, T. Passow, W. Löffler, H. Kalt, and M. Hetterich, "Localized and delocalized modes in coupled optical micropillar cavities," Opt. Express 15, 8191-8196 (2007).
[CrossRef] [PubMed]

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

A. J. Bennett, D. J. P. Ellis, A. J. Shields, P. Atkinson, I. Farrer, and D. A. Ritchie, "Observation of the Purcell effect in high-index-contrast micropillars," Appl. Phys. Lett. 90, 191911 (2007).
[CrossRef]

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

N. Gregersen, T. R. Nielsen, B. Tromborg, and J. Mørk,"Quality factors of nonideal micro pillars," Appl. Phys. Lett. 91, 011116 (2007).
[CrossRef]

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

J. Pomplun, S. Burger, L. Zschiedrich and F. Schmidt, "Adaptive Finite Element Method for Simulation of Optical Nano Structures," Phys. Status Solidi B 244,3419-3434 (2007).
[CrossRef]

2006 (2)

L. Zschiedrich, R. Klose, A. Schädle and F. Schmidt "A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D," J. Comput Appl. Math. 188, 12-32 (2006).
[CrossRef]

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, A. Scherer, "Vacuum Rabi splitting in semiconductors," Nat. Phys. 2, 81-90 (2006).
[CrossRef]

2005 (5)

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
[CrossRef]

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

2004 (4)

Ph. Lalanne, J. P. Hugonin, and J. M Gérard, "Electromagnetic study of the quality factor of pillar microcavities in the small diameter limit," Appl. Phys. Lett. 84, 4726-4728 (2004).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
[CrossRef]

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

2002 (1)

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto "Optimization of three-dimensional micropost microcavities for cavity quantum electrodynamics," Phys. Rev. A 66, 023808 (2002).
[CrossRef]

2000 (1)

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

1999 (1)

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

1998 (1)

J. M. Gérard, B. Sermarge, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, "Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity," Phys. Rev. Lett. 81, 1110-1113 (1998).
[CrossRef]

1996 (1)

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

1989 (1)

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

1987 (1)

E. Yablonovitch, "Inhibited Spontaneous Emission in Solid-State Physics and Electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

1976 (1)

B. Monemar, K. K. Shih, and G. D. Pettit, "Some optical properties of the AlxGa1−xAs alloys system," J. Appl. Phys. 47, 2604-2613 (1976).
[CrossRef]

1974 (1)

D. D. Sell and H. C. Casey, Jr., "Optical absorption and photoluminescence studies of thin GaAs layers in GaAs-AlxGa1−xAs double heterostructures," J. Appl. Phys. 45, 800-807 (1974).
[CrossRef]

1962 (1)

M. D. Sturge, "Optical Absorption of Gallium Arsenide between 0.6 and 2.75 eV," Phys. Rev. 127, 768-773 (1962).
[CrossRef]

1946 (1)

E. M. Purcell, "Spontaneous emission probabilities at radio frequencies," Phys. Rev. 69, 681 (1946).

Abram, I.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Atkinson, P.

A. J. Bennett, D. J. P. Ellis, A. J. Shields, P. Atkinson, I. Farrer, and D. A. Ritchie, "Observation of the Purcell effect in high-index-contrast micropillars," Appl. Phys. Lett. 90, 191911 (2007).
[CrossRef]

Awschalom, D. D.

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

Barclay, P. E.

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

Barrier, D.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

Bayer, M.

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

Becher, C.

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Beck, T.

M. Karl, T. Beck, S. Li, H. Kalt, and M. Hetterich, "Q-factor and density of optical modes in pyramidal and cone-shaped GaAs microcavities," Appl. Phys. Lett. 92, 231105 (2008).
[CrossRef]

Bennett, A. J.

A. J. Bennett, D. J. P. Ellis, A. J. Shields, P. Atkinson, I. Farrer, and D. A. Ritchie, "Observation of the Purcell effect in high-index-contrast micropillars," Appl. Phys. Lett. 90, 191911 (2007).
[CrossRef]

Benyoucef, M.

M. Benyoucef, S. Kiravittaya, Y. F. Mei, A. Rastelli, and O. G. Schmidt, "Strongly coupled semiconductor microcavities: A route to couple artificial atoms over micrometric distances," Phys. Rev. B 77, 035108 (2008).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
[CrossRef]

Borselli, M.

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

Braive, R.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Burger, S.

J. Pomplun, S. Burger, L. Zschiedrich and F. Schmidt, "Adaptive Finite Element Method for Simulation of Optical Nano Structures," Phys. Status Solidi B 244,3419-3434 (2007).
[CrossRef]

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

Burkard, G.

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

Cao, T.

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

Casey, H. C.

D. D. Sell and H. C. Casey, Jr., "Optical absorption and photoluminescence studies of thin GaAs layers in GaAs-AlxGa1−xAs double heterostructures," J. Appl. Phys. 45, 800-807 (1974).
[CrossRef]

Christenson, C.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

Costard, E.

J. M. Gérard, B. Sermarge, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, "Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity," Phys. Rev. Lett. 81, 1110-1113 (1998).
[CrossRef]

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

Craddock, I. J.

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

Cryan, M. J.

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

Deppe, D. G.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

DiVincenzo, D. P.

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

Ell, C.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

Ellis, D. J. P.

A. J. Bennett, D. J. P. Ellis, A. J. Shields, P. Atkinson, I. Farrer, and D. A. Ritchie, "Observation of the Purcell effect in high-index-contrast micropillars," Appl. Phys. Lett. 90, 191911 (2007).
[CrossRef]

English, J. H.

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

Farrer, I.

A. J. Bennett, D. J. P. Ellis, A. J. Shields, P. Atkinson, I. Farrer, and D. A. Ritchie, "Observation of the Purcell effect in high-index-contrast micropillars," Appl. Phys. Lett. 90, 191911 (2007).
[CrossRef]

Forchel, A.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
[CrossRef]

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Gao, W.

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

Gayral, B.

J. M. Gérard, B. Sermarge, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, "Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity," Phys. Rev. Lett. 81, 1110-1113 (1998).
[CrossRef]

Gérard, J. M

Ph. Lalanne, J. P. Hugonin, and J. M Gérard, "Electromagnetic study of the quality factor of pillar microcavities in the small diameter limit," Appl. Phys. Lett. 84, 4726-4728 (2004).
[CrossRef]

Gérard, J. M.

J. M. Gérard, B. Sermarge, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, "Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity," Phys. Rev. Lett. 81, 1110-1113 (1998).
[CrossRef]

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

Gerthsen, D.

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Gibbs, H. M.

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, A. Scherer, "Vacuum Rabi splitting in semiconductors," Nat. Phys. 2, 81-90 (2006).
[CrossRef]

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

Gorbunov, A.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Gossard, A. C.

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

Gregersen, N.

N. Gregersen, T. R. Nielsen, B. Tromborg, and J. Mørk,"Quality factors of nonideal micro pillars," Appl. Phys. Lett. 91, 011116 (2007).
[CrossRef]

H¨ofling, S.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Hawecker, J.

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Hendrickson, J.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

Hetterich, M.

M. Karl, T. Beck, S. Li, H. Kalt, and M. Hetterich, "Q-factor and density of optical modes in pyramidal and cone-shaped GaAs microcavities," Appl. Phys. Lett. 92, 231105 (2008).
[CrossRef]

M. Karl, S. Li, T. Passow, W. Löffler, H. Kalt, and M. Hetterich, "Localized and delocalized modes in coupled optical micropillar cavities," Opt. Express 15, 8191-8196 (2007).
[CrossRef] [PubMed]

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Ho, Y.-L. D.

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

Hofmann, C.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Houh, H. H.

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

Hu, E.

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Hugonin, J. P.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Ph. Lalanne, J. P. Hugonin, and J. M Gérard, "Electromagnetic study of the quality factor of pillar microcavities in the small diameter limit," Appl. Phys. Lett. 84, 4726-4728 (2004).
[CrossRef]

Imamo?glu, A.

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Imamoglu, A.

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

Ivanov, P. S.

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

Jahnke, F.

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
[CrossRef]

Jewell, J. L.

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

Johnson, T. J.

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

Kalt, H.

M. Karl, T. Beck, S. Li, H. Kalt, and M. Hetterich, "Q-factor and density of optical modes in pyramidal and cone-shaped GaAs microcavities," Appl. Phys. Lett. 92, 231105 (2008).
[CrossRef]

M. Karl, S. Li, T. Passow, W. Löffler, H. Kalt, and M. Hetterich, "Localized and delocalized modes in coupled optical micropillar cavities," Opt. Express 15, 8191-8196 (2007).
[CrossRef] [PubMed]

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Kamp, M.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Karl, M.

M. Karl, T. Beck, S. Li, H. Kalt, and M. Hetterich, "Q-factor and density of optical modes in pyramidal and cone-shaped GaAs microcavities," Appl. Phys. Lett. 92, 231105 (2008).
[CrossRef]

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

M. Karl, S. Li, T. Passow, W. Löffler, H. Kalt, and M. Hetterich, "Localized and delocalized modes in coupled optical micropillar cavities," Opt. Express 15, 8191-8196 (2007).
[CrossRef] [PubMed]

Keldysh, L. V.

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Khitrova, G.

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, A. Scherer, "Vacuum Rabi splitting in semiconductors," Nat. Phys. 2, 81-90 (2006).
[CrossRef]

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

Kira, M.

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, A. Scherer, "Vacuum Rabi splitting in semiconductors," Nat. Phys. 2, 81-90 (2006).
[CrossRef]

Kiravittaya, S.

M. Benyoucef, S. Kiravittaya, Y. F. Mei, A. Rastelli, and O. G. Schmidt, "Strongly coupled semiconductor microcavities: A route to couple artificial atoms over micrometric distances," Phys. Rev. B 77, 035108 (2008).
[CrossRef]

Kiraz, A.

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Klose, R.

L. Zschiedrich, R. Klose, A. Schädle and F. Schmidt "A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D," J. Comput Appl. Math. 188, 12-32 (2006).
[CrossRef]

Koch, S. W.

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, A. Scherer, "Vacuum Rabi splitting in semiconductors," Nat. Phys. 2, 81-90 (2006).
[CrossRef]

Köhle, R.

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

Kress, A.

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

Krishna, S.

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

Kuhn, S.

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Kulakovskii, V. D.

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Kuszelewicz, R.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

Kwon, S. H.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

L¨offler, A.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Lalanne, P.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Lalanne, Ph.

Ph. Lalanne, J. P. Hugonin, and J. M Gérard, "Electromagnetic study of the quality factor of pillar microcavities in the small diameter limit," Appl. Phys. Lett. 84, 4726-4728 (2004).
[CrossRef]

Lam, D.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

Laurent, S.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Lecamp, G.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Legrand, B.

J. M. Gérard, B. Sermarge, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, "Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity," Phys. Rev. Lett. 81, 1110-1113 (1998).
[CrossRef]

Lemaître, A.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Li, S.

M. Karl, T. Beck, S. Li, H. Kalt, and M. Hetterich, "Q-factor and density of optical modes in pyramidal and cone-shaped GaAs microcavities," Appl. Phys. Lett. 92, 231105 (2008).
[CrossRef]

M. Karl, S. Li, T. Passow, W. Löffler, H. Kalt, and M. Hetterich, "Localized and delocalized modes in coupled optical micropillar cavities," Opt. Express 15, 8191-8196 (2007).
[CrossRef] [PubMed]

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Löffler, A.

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Löffler, W.

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

M. Karl, S. Li, T. Passow, W. Löffler, H. Kalt, and M. Hetterich, "Localized and delocalized modes in coupled optical micropillar cavities," Opt. Express 15, 8191-8196 (2007).
[CrossRef] [PubMed]

Loss, D.

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

Lupaca-Schomber, J.

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Lyanda-Geller, Y.

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

Manin, L.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

März, R.

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

Marzin, J. Y.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

McCall, S. L.

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

Mei, Y. F.

M. Benyoucef, S. Kiravittaya, Y. F. Mei, A. Rastelli, and O. G. Schmidt, "Strongly coupled semiconductor microcavities: A route to couple artificial atoms over micrometric distances," Phys. Rev. B 77, 035108 (2008).
[CrossRef]

Michler, P.

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
[CrossRef]

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Monemar, B.

B. Monemar, K. K. Shih, and G. D. Pettit, "Some optical properties of the AlxGa1−xAs alloys system," J. Appl. Phys. 47, 2604-2613 (1976).
[CrossRef]

Mørk, J.

N. Gregersen, T. R. Nielsen, B. Tromborg, and J. Mørk,"Quality factors of nonideal micro pillars," Appl. Phys. Lett. 91, 011116 (2007).
[CrossRef]

Mosor, S.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

Nielsen, T. R.

N. Gregersen, T. R. Nielsen, B. Tromborg, and J. Mørk,"Quality factors of nonideal micro pillars," Appl. Phys. Lett. 91, 011116 (2007).
[CrossRef]

Nölscher, C.

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

Ortner, G.

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

Painter, O.

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

Passow, T.

M. Karl, S. Li, T. Passow, W. Löffler, H. Kalt, and M. Hetterich, "Localized and delocalized modes in coupled optical micropillar cavities," Opt. Express 15, 8191-8196 (2007).
[CrossRef] [PubMed]

F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
[CrossRef]

Patriarche, G.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Pelton, M.

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto "Optimization of three-dimensional micropost microcavities for cavity quantum electrodynamics," Phys. Rev. A 66, 023808 (2002).
[CrossRef]

Petroff, P. M.

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Pettit, G. D.

B. Monemar, K. K. Shih, and G. D. Pettit, "Some optical properties of the AlxGa1−xAs alloys system," J. Appl. Phys. 47, 2604-2613 (1976).
[CrossRef]

Pomplun, J.

J. Pomplun, S. Burger, L. Zschiedrich and F. Schmidt, "Adaptive Finite Element Method for Simulation of Optical Nano Structures," Phys. Status Solidi B 244,3419-3434 (2007).
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E. M. Purcell, "Spontaneous emission probabilities at radio frequencies," Phys. Rev. 69, 681 (1946).

Railton, C. J.

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
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Rarity, J. G.

Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

Rastelli, A.

M. Benyoucef, S. Kiravittaya, Y. F. Mei, A. Rastelli, and O. G. Schmidt, "Strongly coupled semiconductor microcavities: A route to couple artificial atoms over micrometric distances," Phys. Rev. B 77, 035108 (2008).
[CrossRef]

Reinecke, T. L.

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Reithmaier, J. P.

G. Ortner, M. Bayer, Y. Lyanda-Geller, T. L. Reinecke, A. Kress, J. P. Reithmaier, and A. Forchel, "Control of Vertically Coupled InGaAs/GaAs Quantum Dots with Electric Fields," Phys. Rev. Lett. 94, 157401 (2005).
[CrossRef] [PubMed]

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Reitzenstein, S.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Richards, B. C.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

Ritchie, D. A.

A. J. Bennett, D. J. P. Ellis, A. J. Shields, P. Atkinson, I. Farrer, and D. A. Ritchie, "Observation of the Purcell effect in high-index-contrast micropillars," Appl. Phys. Lett. 90, 191911 (2007).
[CrossRef]

Rivera, T.

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

Robert-Philip, I.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Rupper, G.

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

S¸ek, G.

J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
[CrossRef]

Sagnes, I.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Schädle, A.

L. Zschiedrich, R. Klose, A. Schädle and F. Schmidt "A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D," J. Comput Appl. Math. 188, 12-32 (2006).
[CrossRef]

Scherer, A.

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, A. Scherer, "Vacuum Rabi splitting in semiconductors," Nat. Phys. 2, 81-90 (2006).
[CrossRef]

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto "Optimization of three-dimensional micropost microcavities for cavity quantum electrodynamics," Phys. Rev. A 66, 023808 (2002).
[CrossRef]

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

Schmidt, F.

J. Pomplun, S. Burger, L. Zschiedrich and F. Schmidt, "Adaptive Finite Element Method for Simulation of Optical Nano Structures," Phys. Status Solidi B 244,3419-3434 (2007).
[CrossRef]

L. Zschiedrich, R. Klose, A. Schädle and F. Schmidt "A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D," J. Comput Appl. Math. 188, 12-32 (2006).
[CrossRef]

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

Schmidt, O. G.

M. Benyoucef, S. Kiravittaya, Y. F. Mei, A. Rastelli, and O. G. Schmidt, "Strongly coupled semiconductor microcavities: A route to couple artificial atoms over micrometric distances," Phys. Rev. B 77, 035108 (2008).
[CrossRef]

Schneider, C.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Schoenfeld, W. V.

P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Sell, D. D.

D. D. Sell and H. C. Casey, Jr., "Optical absorption and photoluminescence studies of thin GaAs layers in GaAs-AlxGa1−xAs double heterostructures," J. Appl. Phys. 45, 800-807 (1974).
[CrossRef]

Sermarge, B.

J. M. Gérard, B. Sermarge, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, "Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity," Phys. Rev. Lett. 81, 1110-1113 (1998).
[CrossRef]

Shchekin, O. B.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

Sherwin, M.

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

Shields, A. J.

A. J. Bennett, D. J. P. Ellis, A. J. Shields, P. Atkinson, I. Farrer, and D. A. Ritchie, "Observation of the Purcell effect in high-index-contrast micropillars," Appl. Phys. Lett. 90, 191911 (2007).
[CrossRef]

Shih, K. K.

B. Monemar, K. K. Shih, and G. D. Pettit, "Some optical properties of the AlxGa1−xAs alloys system," J. Appl. Phys. 47, 2604-2613 (1976).
[CrossRef]

Small, A.

A. Imamoğlu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, "Quantum Information Processing Using Quantum Dot Spins and Cavity QED," Phys. Rev. Lett. 83, 4204-4207 (1999).
[CrossRef]

Srinivasan, K.

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

Stintz, A.

K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
[CrossRef]

Strauss, M.

S. Reitzenstein, C. Hofmann, A. Gorbunov, M. Strauss, S. H. Kwon, C. Schneider, A. L¨offler, S. H¨ofling, M. Kamp, and A. Forchel, "AlAs/GaAs micropillar cavities with quality factors exceeding 150.000," Appl. Phys. Lett. 90, 251109 (2007).
[CrossRef]

Sturge, M. D.

M. D. Sturge, "Optical Absorption of Gallium Arsenide between 0.6 and 2.75 eV," Phys. Rev. 127, 768-773 (1962).
[CrossRef]

Sweet, J.

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

Thierry-Mieg, V.

J. M. Gérard, B. Sermarge, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, "Enhanced Spontaneous Emission by Quantum Boxes in a Monolithic Optical Microcavity," Phys. Rev. Lett. 81, 1110-1113 (1998).
[CrossRef]

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
[CrossRef]

Tromborg, B.

N. Gregersen, T. R. Nielsen, B. Tromborg, and J. Mørk,"Quality factors of nonideal micro pillars," Appl. Phys. Lett. 91, 011116 (2007).
[CrossRef]

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M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
[CrossRef]

Varoutsis, S.

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

Vuckovic, J.

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto "Optimization of three-dimensional micropost microcavities for cavity quantum electrodynamics," Phys. Rev. A 66, 023808 (2002).
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F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
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J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
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M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
[CrossRef]

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
[CrossRef]

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E. Yablonovitch, "Inhibited Spontaneous Emission in Solid-State Physics and Electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
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J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto "Optimization of three-dimensional micropost microcavities for cavity quantum electrodynamics," Phys. Rev. A 66, 023808 (2002).
[CrossRef]

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J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
[CrossRef]

T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, "Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity," Nature (London) 432, 200-203 (2004).
[CrossRef]

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P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
[CrossRef] [PubMed]

Zschiedrich, L.

J. Pomplun, S. Burger, L. Zschiedrich and F. Schmidt, "Adaptive Finite Element Method for Simulation of Optical Nano Structures," Phys. Status Solidi B 244,3419-3434 (2007).
[CrossRef]

L. Zschiedrich, R. Klose, A. Schädle and F. Schmidt "A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D," J. Comput Appl. Math. 188, 12-32 (2006).
[CrossRef]

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

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K. Srinivasan, M. Borselli, T. J. Johnson, P. E. Barclay, O. Painter, A. Stintz, and S. Krishna, "Optical loss and lasing characteristics of high-quality-factor AlGaAs microdisk resonators with embedded quantum dots," Appl. Phys. Lett. 86, 151106 (2005).
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F. M. Weber, M. Karl, J. Lupaca-Schomber, W. Löffler, S. Li, T. Passow, J. Hawecker, D. Gerthsen, H. Kalt, and M. Hetterich, "Optical modes in pyramidal GaAs microcavities," Appl. Phys. Lett. 90, 161104 (2007).
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[CrossRef]

N. Gregersen, T. R. Nielsen, B. Tromborg, and J. Mørk,"Quality factors of nonideal micro pillars," Appl. Phys. Lett. 91, 011116 (2007).
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Ph. Lalanne, J. P. Hugonin, and J. M Gérard, "Electromagnetic study of the quality factor of pillar microcavities in the small diameter limit," Appl. Phys. Lett. 84, 4726-4728 (2004).
[CrossRef]

G. Lecamp, J. P. Hugonin, P. Lalanne, R. Braive, S. Varoutsis, S. Laurent, A. Lemaître, I. Sagnes, G. Patriarche, I. Robert-Philip, and I. Abram, "Submicron-diameter semiconductor pillar microcavities with very high quality factors," Appl. Phys. Lett. 90, 091120 (2007).
[CrossRef]

J. L. Jewell, S. L. McCall, A. Scherer, H. H. Houh, N. A. Whitaker, A. C. Gossard, and J. H. English, "Transverse modes, waveguide dispersion, and 30 ps recovery in submicron GaAs/AlAs microresonators," Appl. Phys. Lett. 55, 22-24 (1989).
[CrossRef]

J. M. Gérard, D. Barrier, J. Y. Marzin, R. Kuszelewicz, L. Manin, E. Costard, V. Thierry-Mieg, and T. Rivera, "Quantum boxes as active probes for photonic microstructures: The pillar microcavity case," Appl. Phys. Lett. 69, 449-451 (1996).
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Y.-L. D. Ho, T. Cao, P. S. Ivanov, M. J. Cryan, I. J. Craddock, C. J. Railton, and J. G. Rarity "Three-Dimensional FDTD Simulation of Micro-Pillar Microcavity Geometries Suitable for Efficient Single-Photon Sources," IEEE J. Quantum Electron. 43, 462-472 (2007).
[CrossRef]

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M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke, and A. Forchel, "Correlated photon pairs from single (In,Ga)As/GaAs quantum dots in pillar microcavities," J. Appl. Phys. 97, 023101 (2005).
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L. Zschiedrich, R. Klose, A. Schädle and F. Schmidt "A new finite element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D," J. Comput Appl. Math. 188, 12-32 (2006).
[CrossRef]

Nat. Phys. (1)

G. Khitrova, H. M. Gibbs, M. Kira, S. W. Koch, A. Scherer, "Vacuum Rabi splitting in semiconductors," Nat. Phys. 2, 81-90 (2006).
[CrossRef]

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J. P. Reithmaier, G. S¸ek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, "Strong coupling in a single quantum dotsemiconductor microcavity system," Nature (London) 432, 197-200 (2004).
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[CrossRef]

New J. Phys. (1)

M. Benyoucef, S. M. Ulrich, P. Michler, J. Wiersig, F. Jahnke and A. Forchel, "Enhanced correlated photon pair emission from a pillar microcavity," New J. Phys. 6, 91 (2004).
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Phys. Rev. A (1)

J. Vučković, M. Pelton, A. Scherer, and Y. Yamamoto "Optimization of three-dimensional micropost microcavities for cavity quantum electrodynamics," Phys. Rev. A 66, 023808 (2002).
[CrossRef]

Phys. Rev. B (2)

J. Hendrickson, B. C. Richards, J. Sweet, S. Mosor, C. Christenson, D. Lam, G. Khitrova, H. M. Gibbs, T. Yoshie, A. Scherer, O. B. Shchekin, and D. G. Deppe, "Quantum dot photonic-crystalslab nanocavities: Quality factors and lasing," Phys. Rev. B 72, 193303 (2005).
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J. Pomplun, S. Burger, L. Zschiedrich and F. Schmidt, "Adaptive Finite Element Method for Simulation of Optical Nano Structures," Phys. Status Solidi B 244,3419-3434 (2007).
[CrossRef]

Proc. SPIE (1)

S. Burger, R. Köhle, L. Zschiedrich, W. Gao, F. Schmidt, R. März, C. Nölscher "Benchmark of FEM, Waveguide and FDTD Algorithms for Rigorous Mask Simulation," Proc. SPIE 5992, 378-389 (2005).

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P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. Zhang, E. Hu, and A. Imamo˘glu, "A Quantum Dot Single-Photon Turnstile Device," Science 290, 2282-2285 (2000).
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T. Tawara, H. Kamada, Y.-H. Zhang, T. Tanabe, N. I. Cade, H. Gotoh, D. Ding, S. R. Johnson, E. Kuramochi, M. Notomi, and H. Nakano, "Role of Re-absorption Effect to Quality Factor in Quantum-Dot Photonic-Crystal Nanocavities," in Proceedings of IEEE International Conference on Indium Phosphide and Related Materials (Institute of Electrical and Electronics Engineers, New York, 2007), pp. 490-492.
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Figures (9)

Fig. 1.
Fig. 1.

Schematic of a pillar with all relevant parameters. Parameters taken into account here are the sidewall inclination φ, the cavity radius rcavity , the number of mirror pairs above and below the cavity, n bilayers,bottom and n bilayers,top , as well as the etching depth detch .

Fig. 2.
Fig. 2.

Convergence of the finite element method for a resonance frequency. The solid line represents the relative error and the dashed line represents a reference line with a gradient of -3.

Fig. 3.
Fig. 3.

Simulation (top) and experimental data (bottom) of a micro-pillar with a diameter of 4.8μm and 25 DBR pairs. The inset shows the measured pillar fabricated by focused ion beam milling [9].

Fig. 4.
Fig. 4.

Variation of imaginary part of GaAs permittivity: absorption limits the maximum Q factor.

Fig. 5.
Fig. 5.

Q factors for micro-pillars of different diameters (top). Top and bottom DBRs are equal, i.e., 20 or 30 pairs each. The thicknesses of the layer structure are either matched to the effective refractive index n eff of the fundamental mode or not. The lines are guides to the eye. For small diameters the resonance wavelength of the fundamental mode shifts to higher energies (bottom).

Fig. 6.
Fig. 6.

Color coded plot of normalized electrical field intensity of the fundamental mode in a cross section of the micro-pillar: (a) Micro-pillar with 30 top and bottom DBR pairs and a diameter of 1.33μm. (b-c) Micro-pillars with 25 top and bottom DBR pairs, a diameter of 3.3μm in the center of the cavity and a sidewall inclination of 0° and 2.2°, respectively; in addition to the contour the initial grid (before any refinements) is shown on the right halves.

Fig. 7.
Fig. 7.

Q factors for micro-pillars with tilted sidewalls for 20, 25, and 30 DBR pairs (top). The pillar diameter is fixed to 3.3μm at the center of the cavity. At the bottom the ratio of electric field energy in the DBR pairs normalized to the energy in the cavity at resonance (949.66 nm) is shown for 25 and 30 DBR pairs. Note the breaks in the scale.

Fig. 8.
Fig. 8.

Q factors for micro-pillars with a diameter of 3.3μm. (a) Variation of top and bottom DBR pairs simultaneously with or without absorption in the cavity material (GaAs). (b) Variation of top DBR pairs with fixed number of bottom DBR pairs.

Fig. 9.
Fig. 9.

Q factors obtained from eigenvalue calculations for micro-pillars with a diameter of 2.0μm. Top and bottom DBR pairs are fixed to 20, 25 and 30, respectively while the etching depth (measured in units of DBR pairs) into the bottom DBR is varied from 0 up to the total number of bottom DBR pairs.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

ε1×μ1×Eω2E=0.
ε1×μ1×E=ω2EinΩ,
ε1×μ1×Eout=ω2Eout in n \ Ω ,
(μ1×Eout)×n=(μ1×E)×non(Ω)
Eout×n=E×non (Ω)
Wel,j=Djweld3r
wel=12εℜ(E)·(E).
(E)·(E)=14(E+E*)·(E+E*).
Wel,cavity=cavity(εcavityE)*·E4d3r.

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