Abstract

We analyze one-dimensional nonuniform arrays of square resonators with a size of 5μm. This choice of resonator size is motivated by a combination of factors such as size that gives a relatively small number of intrinsic modes, is compatible with current fabrication processes, and can deliver a reasonable amount of power without occupying a large area. In these arrays we initially change the separation between adjacent resonators by using standard functions used in specifying filter responses in the frequency domain such as binomial functions Chebyshev polynomials. We show that interesting spectral properties may appear when these functions are used. Next, we change one of the characteristic dimensions of the square resonator in a prescribed manner across the array and analyze the effect of the changes on the spectral characteristics of the arrays. In all cases, the arrays form light sources that couple light into a single-mode waveguide and their spectral characteristics are obtained after coupling into the waveguide.

© 2008 Optical Society of America

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  1. O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
    [CrossRef] [PubMed]
  2. H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
    [CrossRef]
  3. D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
    [CrossRef]
  4. H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
    [CrossRef]
  5. R. M. Cazo, C. L. Barbosa, H. T. Hattori, and V. M. Schneider, “Steady-state analysis of a directional square lattice band-edge photonic crystal laser,” Microwave Opt. Technol. Lett. 46, 210-214 (2005).
    [CrossRef]
  6. H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
    [CrossRef]
  7. H. T. Hattori, H. H. Tan, and C. Jagadish, “Optically pumped in-plane photonic crystal microcavity laser arrays coupled to waveguides,” J. Lightwave Technol. 26, 1374-1380 (2008).
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  8. T. Baba, “Photonic crystals and microdisk cavities based on GaInAsP/InP system,” IEEE J. Sel. Top. Quantum Electron. 3, 808-830 (1997).
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  9. M. Fujita, A. Sakai, and T. Baba, “Ultra-small and ultra-low threshold microdisk injection laser--design, fabrication, lasing characteristics and spontaneous emission factor,” IEEE J. Sel. Top. Quantum Electron. 5, 673-681 (1999).
    [CrossRef]
  10. A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
    [CrossRef]
  11. S. J. Choi, K. Djordjev, S. J. Choi, and P. D. Dapkus, “Microdisk lasers vertically coupled to output waveguides,” IEEE Photon. Technol. Lett. 15, 1330-1332 (2003).
    [CrossRef]
  12. S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, “Directional emission, increased free spectral range, and mode Q-factors in 2-D wavelength-scale optical microcavity structures,” IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
    [CrossRef]
  13. H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
    [CrossRef]
  14. H. T. Hattori, “Analysis of optically pumped equilateral triangular microlasers with three mode-selective trenches,” Appl. Opt. 47, 2178-2185 (2008).
    [CrossRef] [PubMed]
  15. S. Ando, N. Kobayashi, and H. Ando, “Triangular-facet lasers coupled by a rectangular optical waveguide,” Jpn. J. Appl. Phys., Part 2 36, L76-L78 (1997).
    [CrossRef]
  16. Y. Z. Huang, W. H. Guo, and Q. M. Wang, “Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator,” IEEE J. Quantum Electron. 37, 100-107 (2001).
    [CrossRef]
  17. Y. Z. Huang, W. H. Guo, L. J. Yu, and H. B. Lei, “Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations,” IEEE J. Quantum Electron. 37, 1259-1264 (2001).
    [CrossRef]
  18. Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
    [CrossRef]
  19. W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Mode quality factor based on far-field emission for square resonators,” IEEE Photon. Technol. Lett. 16, 479-481 (2004).
    [CrossRef]
  20. W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Whispering-gallery-like modes in square resonators,” IEEE J. Quantum Electron. 29, 1106-1110 (2003).
  21. C. A. Balanis, Antenna Theory: Analysis and Design, 2nd ed. (Wiley, 1997).
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  23. Fullwave 4.0 RSOFT design group (1999), http://www.rsoftdesign.com.
  24. W. H. Guo, Y. Z. Huang, and Q. Y. Liu, “Modes in square resonators,” IEEE J. Quantum Electron. 39, 1563-1566 (2003).
    [CrossRef]
  25. J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
    [CrossRef]
  26. H. Altug, and J. Vuckovic, “Photonic crystal nanocavity array laser,” Opt. Express 13, 8819-8828 (2005).
    [CrossRef] [PubMed]
  27. L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).

2008 (2)

2007 (2)

H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
[CrossRef]

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

2006 (2)

S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, “Directional emission, increased free spectral range, and mode Q-factors in 2-D wavelength-scale optical microcavity structures,” IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
[CrossRef]

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

2005 (3)

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

R. M. Cazo, C. L. Barbosa, H. T. Hattori, and V. M. Schneider, “Steady-state analysis of a directional square lattice band-edge photonic crystal laser,” Microwave Opt. Technol. Lett. 46, 210-214 (2005).
[CrossRef]

H. Altug, and J. Vuckovic, “Photonic crystal nanocavity array laser,” Opt. Express 13, 8819-8828 (2005).
[CrossRef] [PubMed]

2004 (1)

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Mode quality factor based on far-field emission for square resonators,” IEEE Photon. Technol. Lett. 16, 479-481 (2004).
[CrossRef]

2003 (4)

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Whispering-gallery-like modes in square resonators,” IEEE J. Quantum Electron. 29, 1106-1110 (2003).

W. H. Guo, Y. Z. Huang, and Q. Y. Liu, “Modes in square resonators,” IEEE J. Quantum Electron. 39, 1563-1566 (2003).
[CrossRef]

D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
[CrossRef]

S. J. Choi, K. Djordjev, S. J. Choi, and P. D. Dapkus, “Microdisk lasers vertically coupled to output waveguides,” IEEE Photon. Technol. Lett. 15, 1330-1332 (2003).
[CrossRef]

2002 (1)

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

2001 (2)

Y. Z. Huang, W. H. Guo, and Q. M. Wang, “Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator,” IEEE J. Quantum Electron. 37, 100-107 (2001).
[CrossRef]

Y. Z. Huang, W. H. Guo, L. J. Yu, and H. B. Lei, “Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations,” IEEE J. Quantum Electron. 37, 1259-1264 (2001).
[CrossRef]

1999 (2)

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

M. Fujita, A. Sakai, and T. Baba, “Ultra-small and ultra-low threshold microdisk injection laser--design, fabrication, lasing characteristics and spontaneous emission factor,” IEEE J. Sel. Top. Quantum Electron. 5, 673-681 (1999).
[CrossRef]

1997 (2)

T. Baba, “Photonic crystals and microdisk cavities based on GaInAsP/InP system,” IEEE J. Sel. Top. Quantum Electron. 3, 808-830 (1997).
[CrossRef]

S. Ando, N. Kobayashi, and H. Ando, “Triangular-facet lasers coupled by a rectangular optical waveguide,” Jpn. J. Appl. Phys., Part 2 36, L76-L78 (1997).
[CrossRef]

1993 (1)

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

1984 (1)

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

Altug, H.

Ando, H.

S. Ando, N. Kobayashi, and H. Ando, “Triangular-facet lasers coupled by a rectangular optical waveguide,” Jpn. J. Appl. Phys., Part 2 36, L76-L78 (1997).
[CrossRef]

Ando, S.

S. Ando, N. Kobayashi, and H. Ando, “Triangular-facet lasers coupled by a rectangular optical waveguide,” Jpn. J. Appl. Phys., Part 2 36, L76-L78 (1997).
[CrossRef]

Baba, T.

M. Fujita, A. Sakai, and T. Baba, “Ultra-small and ultra-low threshold microdisk injection laser--design, fabrication, lasing characteristics and spontaneous emission factor,” IEEE J. Sel. Top. Quantum Electron. 5, 673-681 (1999).
[CrossRef]

T. Baba, “Photonic crystals and microdisk cavities based on GaInAsP/InP system,” IEEE J. Sel. Top. Quantum Electron. 3, 808-830 (1997).
[CrossRef]

Balanis, C. A.

C. A. Balanis, Antenna Theory: Analysis and Design, 2nd ed. (Wiley, 1997).

Barbosa, C. L.

R. M. Cazo, C. L. Barbosa, H. T. Hattori, and V. M. Schneider, “Steady-state analysis of a directional square lattice band-edge photonic crystal laser,” Microwave Opt. Technol. Lett. 46, 210-214 (2005).
[CrossRef]

Benson, T. M.

S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, “Directional emission, increased free spectral range, and mode Q-factors in 2-D wavelength-scale optical microcavity structures,” IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
[CrossRef]

Bjorkholm, J. E.

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

Boriskina, S. V.

S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, “Directional emission, increased free spectral range, and mode Q-factors in 2-D wavelength-scale optical microcavity structures,” IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
[CrossRef]

Bowers, J. E.

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

Burrus, C. A.

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

Cazo, R. M.

R. M. Cazo, C. L. Barbosa, H. T. Hattori, and V. M. Schneider, “Steady-state analysis of a directional square lattice band-edge photonic crystal laser,” Microwave Opt. Technol. Lett. 46, 210-214 (2005).
[CrossRef]

Chen, Q.

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

Choi, S. J.

S. J. Choi, K. Djordjev, S. J. Choi, and P. D. Dapkus, “Microdisk lasers vertically coupled to output waveguides,” IEEE Photon. Technol. Lett. 15, 1330-1332 (2003).
[CrossRef]

S. J. Choi, K. Djordjev, S. J. Choi, and P. D. Dapkus, “Microdisk lasers vertically coupled to output waveguides,” IEEE Photon. Technol. Lett. 15, 1330-1332 (2003).
[CrossRef]

Coldren, L. A.

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).

Corzine, S. W.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).

Dapkus, P. D.

S. J. Choi, K. Djordjev, S. J. Choi, and P. D. Dapkus, “Microdisk lasers vertically coupled to output waveguides,” IEEE Photon. Technol. Lett. 15, 1330-1332 (2003).
[CrossRef]

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

De La Rue, R. M.

H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
[CrossRef]

di Cioccio, L.

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

DiCioccio, L.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

Djordjev, K.

S. J. Choi, K. Djordjev, S. J. Choi, and P. D. Dapkus, “Microdisk lasers vertically coupled to output waveguides,” IEEE Photon. Technol. Lett. 15, 1330-1332 (2003).
[CrossRef]

Du, Y.

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

El Melahoui, L.

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

El Melhaoui, L.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

Fan, Z. C.

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

Fedeli, J. M.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

Fedeli, J.-M.

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Fujita, M.

M. Fujita, A. Sakai, and T. Baba, “Ultra-small and ultra-low threshold microdisk injection laser--design, fabrication, lasing characteristics and spontaneous emission factor,” IEEE J. Sel. Top. Quantum Electron. 5, 673-681 (1999).
[CrossRef]

Glass, J. L.

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

Guo, W. H.

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Mode quality factor based on far-field emission for square resonators,” IEEE Photon. Technol. Lett. 16, 479-481 (2004).
[CrossRef]

W. H. Guo, Y. Z. Huang, and Q. Y. Liu, “Modes in square resonators,” IEEE J. Quantum Electron. 39, 1563-1566 (2003).
[CrossRef]

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Whispering-gallery-like modes in square resonators,” IEEE J. Quantum Electron. 29, 1106-1110 (2003).

Y. Z. Huang, W. H. Guo, L. J. Yu, and H. B. Lei, “Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations,” IEEE J. Quantum Electron. 37, 1259-1264 (2001).
[CrossRef]

Y. Z. Huang, W. H. Guo, and Q. M. Wang, “Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator,” IEEE J. Quantum Electron. 37, 100-107 (2001).
[CrossRef]

Hattori, H. T.

H. T. Hattori, “Analysis of optically pumped equilateral triangular microlasers with three mode-selective trenches,” Appl. Opt. 47, 2178-2185 (2008).
[CrossRef] [PubMed]

H. T. Hattori, H. H. Tan, and C. Jagadish, “Optically pumped in-plane photonic crystal microcavity laser arrays coupled to waveguides,” J. Lightwave Technol. 26, 1374-1380 (2008).
[CrossRef]

H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
[CrossRef]

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

R. M. Cazo, C. L. Barbosa, H. T. Hattori, and V. M. Schneider, “Steady-state analysis of a directional square lattice band-edge photonic crystal laser,” Microwave Opt. Technol. Lett. 46, 210-214 (2005).
[CrossRef]

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Hemenway, B. R.

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

Hollinger, G.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

Hu, Y. H.

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

Huang, Y. Z.

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Mode quality factor based on far-field emission for square resonators,” IEEE Photon. Technol. Lett. 16, 479-481 (2004).
[CrossRef]

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Whispering-gallery-like modes in square resonators,” IEEE J. Quantum Electron. 29, 1106-1110 (2003).

W. H. Guo, Y. Z. Huang, and Q. Y. Liu, “Modes in square resonators,” IEEE J. Quantum Electron. 39, 1563-1566 (2003).
[CrossRef]

Y. Z. Huang, W. H. Guo, and Q. M. Wang, “Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator,” IEEE J. Quantum Electron. 37, 100-107 (2001).
[CrossRef]

Y. Z. Huang, W. H. Guo, L. J. Yu, and H. B. Lei, “Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations,” IEEE J. Quantum Electron. 37, 1259-1264 (2001).
[CrossRef]

Huh, J.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Hwang, J. K.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Jagadish, C.

H. T. Hattori, H. H. Tan, and C. Jagadish, “Optically pumped in-plane photonic crystal microcavity laser arrays coupled to waveguides,” J. Lightwave Technol. 26, 1374-1380 (2008).
[CrossRef]

H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
[CrossRef]

Kim, C. K.

D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
[CrossRef]

Kim, J. S.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Kim, S. H.

D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Kobayashi, N.

S. Ando, N. Kobayashi, and H. Ando, “Triangular-facet lasers coupled by a rectangular optical waveguide,” Jpn. J. Appl. Phys., Part 2 36, L76-L78 (1997).
[CrossRef]

Leclercq, J. L.

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Lee, R. K.

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

Lee, Y. H.

D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Lei, H. B.

Y. Z. Huang, W. H. Guo, L. J. Yu, and H. B. Lei, “Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations,” IEEE J. Quantum Electron. 37, 1259-1264 (2001).
[CrossRef]

Letartre, X.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Levi, A. F. J.

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

Liu, Q. Y.

W. H. Guo, Y. Z. Huang, and Q. Y. Liu, “Modes in square resonators,” IEEE J. Quantum Electron. 39, 1563-1566 (2003).
[CrossRef]

Logan, R. A.

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

Lu, Q. Y.

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Mode quality factor based on far-field emission for square resonators,” IEEE Photon. Technol. Lett. 16, 479-481 (2004).
[CrossRef]

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Whispering-gallery-like modes in square resonators,” IEEE J. Quantum Electron. 29, 1106-1110 (2003).

McCall, S. L.

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

McKerracher, I.

H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
[CrossRef]

Nosich, A. I.

S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, “Directional emission, increased free spectral range, and mode Q-factors in 2-D wavelength-scale optical microcavity structures,” IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
[CrossRef]

O'Brien, J. D.

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

Painter, O.

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

Park, H. G.

D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Pearton, S. J.

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

Pozar, D. M.

D. M. Pozar, Microwave Engineering, 3rd edition (Wiley, 2005).

Rojo-Romeo, P.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Ryu, H. Y.

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Sakai, A.

M. Fujita, A. Sakai, and T. Baba, “Ultra-small and ultra-low threshold microdisk injection laser--design, fabrication, lasing characteristics and spontaneous emission factor,” IEEE J. Sel. Top. Quantum Electron. 5, 673-681 (1999).
[CrossRef]

Scherrer, A.

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

Schneider, V. M.

R. M. Cazo, C. L. Barbosa, H. T. Hattori, and V. M. Schneider, “Steady-state analysis of a directional square lattice band-edge photonic crystal laser,” Microwave Opt. Technol. Lett. 46, 210-214 (2005).
[CrossRef]

Seassal, C.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Sewell, P. D.

S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, “Directional emission, increased free spectral range, and mode Q-factors in 2-D wavelength-scale optical microcavity structures,” IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
[CrossRef]

Slusher, R. E.

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

Song, D. S.

D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
[CrossRef]

Tan, H. H.

H. T. Hattori, H. H. Tan, and C. Jagadish, “Optically pumped in-plane photonic crystal microcavity laser arrays coupled to waveguides,” J. Lightwave Technol. 26, 1374-1380 (2008).
[CrossRef]

H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
[CrossRef]

Touraille, E.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

Viktorovitch, P.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Vuckovic, J.

Wang, Q. M.

Y. Z. Huang, W. H. Guo, and Q. M. Wang, “Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator,” IEEE J. Quantum Electron. 37, 100-107 (2001).
[CrossRef]

Wang, S. J.

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

Wilt, D. P.

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

Yariv, A.

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

Yu, L. J.

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Mode quality factor based on far-field emission for square resonators,” IEEE Photon. Technol. Lett. 16, 479-481 (2004).
[CrossRef]

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Whispering-gallery-like modes in square resonators,” IEEE J. Quantum Electron. 29, 1106-1110 (2003).

Y. Z. Huang, W. H. Guo, L. J. Yu, and H. B. Lei, “Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations,” IEEE J. Quantum Electron. 37, 1259-1264 (2001).
[CrossRef]

Zussy, M.

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (3)

J. E. Bowers, J. E. Bjorkholm, C. A. Burrus, L. A. Coldren, B. R. Hemenway, and D. P. Wilt, “Cleaved-coupled-cavity lasers with large cavity length ratios for enhanced stability,” Appl. Phys. Lett. 44, 821-823 (1984).
[CrossRef]

D. S. Song, S. H. Kim, H. G. Park, C. K. Kim, and Y. H. Lee, “Single-fundamental-mode photonic crystal surface-emitting lasers,” Appl. Phys. Lett. 80, 3608-3610 (2003).
[CrossRef]

A. F. J. Levi, R. E. Slusher, S. L. McCall, J. L. Glass, S. J. Pearton, and R. A. Logan, “Directional light coupling from microdisk lasers,” Appl. Phys. Lett. 62, 562-563 (1993).
[CrossRef]

IEEE J. Quantum Electron. (6)

H. T. Hattori, I. McKerracher, H. H. Tan, C. Jagadish, and R. M. De La Rue, “In-plane coupling of light from InP-based photonic crystal band-edge lasers into single-mode waveguides,” IEEE J. Quantum Electron. 43, 279-286 (2007).
[CrossRef]

H. G. Park, J. K. Hwang, J. Huh, H. Y. Ryu, S. H. Kim, J. S. Kim, and Y. H. Lee, “Characteristics of modified single-defect two-dimensional photonic crystal lasers,” IEEE J. Quantum Electron. 38, 1353-1365 (2002).
[CrossRef]

Y. Z. Huang, W. H. Guo, and Q. M. Wang, “Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator,” IEEE J. Quantum Electron. 37, 100-107 (2001).
[CrossRef]

Y. Z. Huang, W. H. Guo, L. J. Yu, and H. B. Lei, “Analysis of semiconductor microlasers with an equilateral triangle resonator by rate equations,” IEEE J. Quantum Electron. 37, 1259-1264 (2001).
[CrossRef]

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Whispering-gallery-like modes in square resonators,” IEEE J. Quantum Electron. 29, 1106-1110 (2003).

W. H. Guo, Y. Z. Huang, and Q. Y. Liu, “Modes in square resonators,” IEEE J. Quantum Electron. 39, 1563-1566 (2003).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (3)

S. V. Boriskina, T. M. Benson, P. D. Sewell, and A. I. Nosich, “Directional emission, increased free spectral range, and mode Q-factors in 2-D wavelength-scale optical microcavity structures,” IEEE J. Sel. Top. Quantum Electron. 12, 1175-1182 (2006).
[CrossRef]

T. Baba, “Photonic crystals and microdisk cavities based on GaInAsP/InP system,” IEEE J. Sel. Top. Quantum Electron. 3, 808-830 (1997).
[CrossRef]

M. Fujita, A. Sakai, and T. Baba, “Ultra-small and ultra-low threshold microdisk injection laser--design, fabrication, lasing characteristics and spontaneous emission factor,” IEEE J. Sel. Top. Quantum Electron. 5, 673-681 (1999).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

S. J. Choi, K. Djordjev, S. J. Choi, and P. D. Dapkus, “Microdisk lasers vertically coupled to output waveguides,” IEEE Photon. Technol. Lett. 15, 1330-1332 (2003).
[CrossRef]

Y. Z. Huang, Y. H. Hu, Q. Chen, S. J. Wang, Y. Du, and Z. C. Fan, “Room-temperature continuous-wave electrically injected InP-GaInAsP equilateral-triangle-resonator lasers,” IEEE Photon. Technol. Lett. 19, 963-965 (2007).
[CrossRef]

W. H. Guo, Y. Z. Huang, Q. Y. Lu, and L. J. Yu, “Mode quality factor based on far-field emission for square resonators,” IEEE Photon. Technol. Lett. 16, 479-481 (2004).
[CrossRef]

H. T. Hattori, C. Seassal, E. Touraille, P. Rojo-Romeo, X. Letartre, G. Hollinger, P. Viktorovitch, L. DiCioccio, M. Zussy, L. El Melhaoui, and J. M. Fedeli, “Heterogeneous integration of microdisk lasers on silicon strip waveguides for optical interconnects,” IEEE Photon. Technol. Lett. 18, 223-225 (2006).
[CrossRef]

J. Lightwave Technol. (1)

Jpn. J. Appl. Phys., Part 2 (1)

S. Ando, N. Kobayashi, and H. Ando, “Triangular-facet lasers coupled by a rectangular optical waveguide,” Jpn. J. Appl. Phys., Part 2 36, L76-L78 (1997).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

R. M. Cazo, C. L. Barbosa, H. T. Hattori, and V. M. Schneider, “Steady-state analysis of a directional square lattice band-edge photonic crystal laser,” Microwave Opt. Technol. Lett. 46, 210-214 (2005).
[CrossRef]

Opt. Express (2)

H. Altug, and J. Vuckovic, “Photonic crystal nanocavity array laser,” Opt. Express 13, 8819-8828 (2005).
[CrossRef] [PubMed]

H. T. Hattori, C. Seassal, X. Letartre, P. Rojo-Romeo, J. L. Leclercq, P. Viktorovitch, M. Zussy, L. di Cioccio, L. El Melahoui, and J.-M. Fedeli, “Coupling analysis of heterogeneous integrated InP based photonic crystal triangular lattice band-edge lasers and silicon waveguides,” Opt. Express 13, 3510-3522 (2005).
[CrossRef]

Science (1)

O. Painter, R. K. Lee, A. Scherrer, A. Yariv, J. D. O'Brien, and P. D. Dapkus, “Two-dimensional photonic bandgap defect mode laser,” Science 284, 1819-1821 (1999).
[CrossRef] [PubMed]

Other (4)

C. A. Balanis, Antenna Theory: Analysis and Design, 2nd ed. (Wiley, 1997).

D. M. Pozar, Microwave Engineering, 3rd edition (Wiley, 2005).

Fullwave 4.0 RSOFT design group (1999), http://www.rsoftdesign.com.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, 1995).

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Figures (11)

Fig. 1
Fig. 1

(a) Schematic of an array with three square resonators. (b) Epitaxially layered structure with associated refractive indices and thicknesses.

Fig. 2
Fig. 2

Single square resonator coupling light into a waveguide. (a) Magnetic field spectrum ( H y ) at the center of the waveguide. (b) Magnetic field ( H y ) distribution at λ = 1056 nm .

Fig. 3
Fig. 3

Uniform square resonator array with six elements. (a) Magnetic field spectrum ( H y ) at the center of the waveguide. (b) Magnetic field ( H y ) distribution at λ = 1056 nm .

Fig. 4
Fig. 4

Binomial sequence array. Magnetic field spectrum ( H y ) at the center of the waveguide for (a) two resonators separated by t 2 = 50 nm , and (b) four resonators separated by t 2 = 50 nm , t 3 = 100 nm , and t 4 = 50 nm .

Fig. 5
Fig. 5

Binomial sequence array with six elements separated by t 2 = 50 nm , t 3 = 200 nm , t 4 = 300 nm , t 5 = 200 nm , and t 6 = 50 nm . (a) Magnetic field spectrum ( H y ) at the center of the waveguide. (b) Magnetic field distribution ( H y ) at λ = 1056.1 nm .

Fig. 6
Fig. 6

Inverted binomial sequence array. Magnetic spectrum ( H y ) at the center of the waveguide for (a) two square resonators separated by t 2 = 300 nm ; (b) four resonators separated by t 2 = 300 nm , t 3 = 150 nm , and t 4 = 300 nm ; and (c) six resonators separated by t 2 = 300 nm , t 3 = 75 nm , t 4 = 50 nm , t 5 = 75 nm , and t 6 = 300 nm .

Fig. 7
Fig. 7

Magnetic field ( H y ) distribution for four resonators and t 2 = 300 nm , t 3 = 150 nm , and t 4 = 300 nm at λ = 1056 nm .

Fig. 8
Fig. 8

Chebyshev polynomials array. Magnetic field spectrum ( H y ) at the center of the waveguide for (a) two square resonators separated by t 2 = 0 nm ; (b) four resonators separated by t 2 = 170 nm , t 3 = 0 nm , and t 4 = 170 nm ; (c) six resonators separated by t 2 = 190 nm , t 3 = 118 nm , t 4 = 0 nm , t 5 = 118 nm , and t 6 = 190 nm .

Fig. 9
Fig. 9

Magnetic field ( H y ) distribution for six resonators with t 2 = 190 nm , t 3 = 118 nm , t 4 = 0 nm , t 5 = 118 nm and t 6 = 190 nm at λ = 1056 nm .

Fig. 10
Fig. 10

Magnetic field ( H y ) spectra for arrays with (a) two resonators with w 2 = 5 μ m and w 3 = 5.05 μ m and (b) six resonators with w 2 = 5 μ m , w 3 = 5.05 μ m , w 4 = 5.1 μ m , w 5 = 5.15 μ m , w 6 = 5.2 μ m , and w 7 = 5.25 μ m .

Fig. 11
Fig. 11

Steady-state characteristics of (a) binomial sequence shown in Fig. 5b and (b) inverted binomial sequence of four resonators with spectrum shown in Fig. 6b. The solid curve is for λ = 1056 nm and the dotted curve is for λ = 118.7 nm .

Tables (1)

Tables Icon

Table 1 Typical Laser Parameters

Equations (7)

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

d N d t = η P in λ p h c o V a ( A N + B N 2 + C N 3 ) Γ G ( N ) S
d S d t = Γ G ( N ) S + β B N 2 S τ p
τ p = Q λ l 2 π c o ,
G ( N ) = v g G o ln ( N N tr ) ,
P out = η a h c o λ l S V mode τ mirror ,
P wg = η wg P out .
S pump = 4 P in π ϕ pump 2 .

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