Abstract

The effect of rotation on the lasing properties of circular Bragg micro-lasers is studied. In addition to the wavelength detuning caused by the Sagnac shift, a direct influence of the rotation on the lasing threshold of the clockwise and counterclockwise rotating modes is observed. The employment of the new effect for the realization of micro-rotation-sensors is discussed.

© 2007 Optical Society of America

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  1. E. J. Post, “Sagnac Effect,” Rev. Mod. Phys. 39, 475–493 (1967).
    [Crossref]
  2. H. J. Arditty and H. C. Lefevre, “Sagnac Effect in Fiber Gyroscopes,” Opt. Lett. 6, 401–403 (1981).
    [Crossref] [PubMed]
  3. S. Ezekiel et al. in Optical Fiber Rotation Sensing, edited by W. K. Burns (Academic Press Inc., Boston, 1994).
  4. U. Leonhardt and P. Piwnitski, “Ultrahigh sensitivity of slow-light gyroscope,” Phys. Rev. A 62, 055801 (2000).
    [Crossref]
  5. B. Z. Steinberg, “Rotating photonic crystals: A medium for compact optical gyroscopes,” Phys. Rev. E 71, 056621–7 (2005).
    [Crossref]
  6. J. Scheuer and A. Yariv, “Sagnac effect in coupled resonator slow light waveguide structures,” Phys. Rev. Lett. 96, 053901 (2006).
    [Crossref] [PubMed]
  7. A.B. Matsko, A.A. Savchenkov, V.S. Ilchenko, and L. Maleki, “Optical gyroscope with whispering gallery mode optical cavities,” Opt. Commun. 233, 107–112 (2004).
    [Crossref]
  8. B. Z. Steinberg, J. Scheuer, and A. Boag, “Rotation-induced superstructure in slow-light waveguides with mode-degeneracy: optical gyroscopes with exponential sensitivity,” J. Opt. Soc. Am. B. 24, 1216–1224 (2007).
    [Crossref]
  9. J. Scheuer and A. Yariv, “Annular Bragg Defect mode Resonators,” J. Opt. Soc. Am. B. 20, (2003) 2285.
    [Crossref]
  10. J. Scheuer and A. Yariv, “Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators,” IEEE J. Quantum Electron. 39, (2003) 1555.
    [Crossref]
  11. J. Scheuer and A. Yariv, “Circular photonic crystal resonators,” Phys. Rev. E 70, 036603 (2004).
    [Crossref]
  12. J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Low Threshold Two-Dimensional Annular Bragg Lasers,” Opt. Lett. 29, 2641–2643 (2004).
    [Crossref] [PubMed]
  13. J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “InGaAsP annular Bragg lasers: theory, applications and modal properties,” IEEE J. Sel. Top. Quantum Electron. 11, 476 (2005).
    [Crossref]
  14. J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,” Appl. Phys. Lett. 86, (2005) 251101.
    [Crossref]
  15. S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
    [Crossref]
  16. P. L. Greene and D. G. Hall, “Effects of radiation on circular-grating DFB lasers. I. Coupled-mode equations,” J. Quantum Electron. 37, 353 (2001).
    [Crossref]
  17. R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, “Lasing behavior of circular grating surface-emitting semiconductor lasers,” J. Opt. Soc. Am. B. 14, 449 (1997).
    [Crossref]
  18. M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
    [Crossref]
  19. R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
    [Crossref]
  20. M. Fallahi, K. J. Kasunic, S. Penner, O. Nordman, and N. Peyghambarian, “Design and fabrication of circular grating coupled distributed Bragg reflector lasers,” Opt. Eng. 37, 1169 (1998).
    [Crossref]
  21. A. Yariv, “Optical Electronics in Modern Communications,” (Oxford University Press, New York, 1997), 5th ed.
  22. B. Z. Steinberg and A. Boag, “Splitting of microcavity degenerate modes in rotating photonic crystals - the miniature optical gyroscopes,” J. Opt. Soc. Am. B 24, 142–151 (2007).
    [Crossref]
  23. S. Sunada and T. Harayama, “Sagnac effect in resonant microcavities”, Phys. Rev. A 74, 021801(R) (2006).
    [Crossref]
  24. B. Z. Steinberg, A. Shamir, and A. Boag, “Two-dimensional Green’s function theory for the electrodynamics of a rotating medium,” Phys. Rev. E. 74, 016608 (2006).
    [Crossref]
  25. G. N. Watson, Theory of Bessel Functions, 2nd ed. London, U.K. Cambridge Univ. Press, 1952.
  26. J. Scheuer, “Radial Bragg Lasers: Optimal design for minimal threshold levels and enhanced mode discrimination,” J. Opt. Soc. B 24, 2178 (2007).
    [Crossref]
  27. X. Sun, J. Scheuer, and A. Yariv, “Optimal Design and Reduced Threshold in Vertically Emitting Circular Bragg Disk Resonator Lasers,” IEEE J. Sel. Top. Quantum Electron. 13, 359 (2007).
    [Crossref]

2007 (4)

B. Z. Steinberg, J. Scheuer, and A. Boag, “Rotation-induced superstructure in slow-light waveguides with mode-degeneracy: optical gyroscopes with exponential sensitivity,” J. Opt. Soc. Am. B. 24, 1216–1224 (2007).
[Crossref]

B. Z. Steinberg and A. Boag, “Splitting of microcavity degenerate modes in rotating photonic crystals - the miniature optical gyroscopes,” J. Opt. Soc. Am. B 24, 142–151 (2007).
[Crossref]

J. Scheuer, “Radial Bragg Lasers: Optimal design for minimal threshold levels and enhanced mode discrimination,” J. Opt. Soc. B 24, 2178 (2007).
[Crossref]

X. Sun, J. Scheuer, and A. Yariv, “Optimal Design and Reduced Threshold in Vertically Emitting Circular Bragg Disk Resonator Lasers,” IEEE J. Sel. Top. Quantum Electron. 13, 359 (2007).
[Crossref]

2006 (3)

S. Sunada and T. Harayama, “Sagnac effect in resonant microcavities”, Phys. Rev. A 74, 021801(R) (2006).
[Crossref]

B. Z. Steinberg, A. Shamir, and A. Boag, “Two-dimensional Green’s function theory for the electrodynamics of a rotating medium,” Phys. Rev. E. 74, 016608 (2006).
[Crossref]

J. Scheuer and A. Yariv, “Sagnac effect in coupled resonator slow light waveguide structures,” Phys. Rev. Lett. 96, 053901 (2006).
[Crossref] [PubMed]

2005 (3)

B. Z. Steinberg, “Rotating photonic crystals: A medium for compact optical gyroscopes,” Phys. Rev. E 71, 056621–7 (2005).
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “InGaAsP annular Bragg lasers: theory, applications and modal properties,” IEEE J. Sel. Top. Quantum Electron. 11, 476 (2005).
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,” Appl. Phys. Lett. 86, (2005) 251101.
[Crossref]

2004 (3)

J. Scheuer and A. Yariv, “Circular photonic crystal resonators,” Phys. Rev. E 70, 036603 (2004).
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Low Threshold Two-Dimensional Annular Bragg Lasers,” Opt. Lett. 29, 2641–2643 (2004).
[Crossref] [PubMed]

A.B. Matsko, A.A. Savchenkov, V.S. Ilchenko, and L. Maleki, “Optical gyroscope with whispering gallery mode optical cavities,” Opt. Commun. 233, 107–112 (2004).
[Crossref]

2003 (2)

J. Scheuer and A. Yariv, “Annular Bragg Defect mode Resonators,” J. Opt. Soc. Am. B. 20, (2003) 2285.
[Crossref]

J. Scheuer and A. Yariv, “Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators,” IEEE J. Quantum Electron. 39, (2003) 1555.
[Crossref]

2001 (1)

P. L. Greene and D. G. Hall, “Effects of radiation on circular-grating DFB lasers. I. Coupled-mode equations,” J. Quantum Electron. 37, 353 (2001).
[Crossref]

2000 (2)

R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
[Crossref]

U. Leonhardt and P. Piwnitski, “Ultrahigh sensitivity of slow-light gyroscope,” Phys. Rev. A 62, 055801 (2000).
[Crossref]

1998 (1)

M. Fallahi, K. J. Kasunic, S. Penner, O. Nordman, and N. Peyghambarian, “Design and fabrication of circular grating coupled distributed Bragg reflector lasers,” Opt. Eng. 37, 1169 (1998).
[Crossref]

1997 (2)

R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, “Lasing behavior of circular grating surface-emitting semiconductor lasers,” J. Opt. Soc. Am. B. 14, 449 (1997).
[Crossref]

S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
[Crossref]

1996 (1)

M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
[Crossref]

1981 (1)

1967 (1)

E. J. Post, “Sagnac Effect,” Rev. Mod. Phys. 39, 475–493 (1967).
[Crossref]

Arditty, H. J.

Bedford, R.

R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
[Crossref]

Boag, A.

B. Z. Steinberg and A. Boag, “Splitting of microcavity degenerate modes in rotating photonic crystals - the miniature optical gyroscopes,” J. Opt. Soc. Am. B 24, 142–151 (2007).
[Crossref]

B. Z. Steinberg, J. Scheuer, and A. Boag, “Rotation-induced superstructure in slow-light waveguides with mode-degeneracy: optical gyroscopes with exponential sensitivity,” J. Opt. Soc. Am. B. 24, 1216–1224 (2007).
[Crossref]

B. Z. Steinberg, A. Shamir, and A. Boag, “Two-dimensional Green’s function theory for the electrodynamics of a rotating medium,” Phys. Rev. E. 74, 016608 (2006).
[Crossref]

DeRose, G.

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “InGaAsP annular Bragg lasers: theory, applications and modal properties,” IEEE J. Sel. Top. Quantum Electron. 11, 476 (2005).
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,” Appl. Phys. Lett. 86, (2005) 251101.
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Low Threshold Two-Dimensional Annular Bragg Lasers,” Opt. Lett. 29, 2641–2643 (2004).
[Crossref] [PubMed]

Dion, M.

M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
[Crossref]

Eriksson, N.

S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
[Crossref]

Ezekiel, S.

S. Ezekiel et al. in Optical Fiber Rotation Sensing, edited by W. K. Burns (Academic Press Inc., Boston, 1994).

Fallahi, M.

R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
[Crossref]

M. Fallahi, K. J. Kasunic, S. Penner, O. Nordman, and N. Peyghambarian, “Design and fabrication of circular grating coupled distributed Bragg reflector lasers,” Opt. Eng. 37, 1169 (1998).
[Crossref]

M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
[Crossref]

Green, W. M. J.

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,” Appl. Phys. Lett. 86, (2005) 251101.
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “InGaAsP annular Bragg lasers: theory, applications and modal properties,” IEEE J. Sel. Top. Quantum Electron. 11, 476 (2005).
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Low Threshold Two-Dimensional Annular Bragg Lasers,” Opt. Lett. 29, 2641–2643 (2004).
[Crossref] [PubMed]

Greene, P. L.

P. L. Greene and D. G. Hall, “Effects of radiation on circular-grating DFB lasers. I. Coupled-mode equations,” J. Quantum Electron. 37, 353 (2001).
[Crossref]

Hagberg, M.

S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
[Crossref]

Hall, D. G.

P. L. Greene and D. G. Hall, “Effects of radiation on circular-grating DFB lasers. I. Coupled-mode equations,” J. Quantum Electron. 37, 353 (2001).
[Crossref]

R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, “Lasing behavior of circular grating surface-emitting semiconductor lasers,” J. Opt. Soc. Am. B. 14, 449 (1997).
[Crossref]

Harayama, T.

S. Sunada and T. Harayama, “Sagnac effect in resonant microcavities”, Phys. Rev. A 74, 021801(R) (2006).
[Crossref]

Ilchenko, V.S.

A.B. Matsko, A.A. Savchenkov, V.S. Ilchenko, and L. Maleki, “Optical gyroscope with whispering gallery mode optical cavities,” Opt. Commun. 233, 107–112 (2004).
[Crossref]

Jordan, R. H.

R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, “Lasing behavior of circular grating surface-emitting semiconductor lasers,” J. Opt. Soc. Am. B. 14, 449 (1997).
[Crossref]

Kasunic, K.

M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
[Crossref]

Kasunic, K. J.

M. Fallahi, K. J. Kasunic, S. Penner, O. Nordman, and N. Peyghambarian, “Design and fabrication of circular grating coupled distributed Bragg reflector lasers,” Opt. Eng. 37, 1169 (1998).
[Crossref]

Killius, K.-J.

S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
[Crossref]

King, O.

R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, “Lasing behavior of circular grating surface-emitting semiconductor lasers,” J. Opt. Soc. Am. B. 14, 449 (1997).
[Crossref]

Kristjansson, S.

S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
[Crossref]

Larsson, A.

S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
[Crossref]

Lefevre, H. C.

Leonhardt, U.

U. Leonhardt and P. Piwnitski, “Ultrahigh sensitivity of slow-light gyroscope,” Phys. Rev. A 62, 055801 (2000).
[Crossref]

Li, M.

S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
[Crossref]

Luo, H.

R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
[Crossref]

Maleki, L.

A.B. Matsko, A.A. Savchenkov, V.S. Ilchenko, and L. Maleki, “Optical gyroscope with whispering gallery mode optical cavities,” Opt. Commun. 233, 107–112 (2004).
[Crossref]

Matsko, A.B.

A.B. Matsko, A.A. Savchenkov, V.S. Ilchenko, and L. Maleki, “Optical gyroscope with whispering gallery mode optical cavities,” Opt. Commun. 233, 107–112 (2004).
[Crossref]

Mendes, S.

R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
[Crossref]

Nordman, O.

M. Fallahi, K. J. Kasunic, S. Penner, O. Nordman, and N. Peyghambarian, “Design and fabrication of circular grating coupled distributed Bragg reflector lasers,” Opt. Eng. 37, 1169 (1998).
[Crossref]

Penner, R. S.

R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
[Crossref]

Penner, S.

M. Fallahi, K. J. Kasunic, S. Penner, O. Nordman, and N. Peyghambarian, “Design and fabrication of circular grating coupled distributed Bragg reflector lasers,” Opt. Eng. 37, 1169 (1998).
[Crossref]

Peyghambarian, N.

M. Fallahi, K. J. Kasunic, S. Penner, O. Nordman, and N. Peyghambarian, “Design and fabrication of circular grating coupled distributed Bragg reflector lasers,” Opt. Eng. 37, 1169 (1998).
[Crossref]

M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
[Crossref]

Piwnitski, P.

U. Leonhardt and P. Piwnitski, “Ultrahigh sensitivity of slow-light gyroscope,” Phys. Rev. A 62, 055801 (2000).
[Crossref]

Post, E. J.

E. J. Post, “Sagnac Effect,” Rev. Mod. Phys. 39, 475–493 (1967).
[Crossref]

Rishton, S.

R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, “Lasing behavior of circular grating surface-emitting semiconductor lasers,” J. Opt. Soc. Am. B. 14, 449 (1997).
[Crossref]

Savchenkov, A.A.

A.B. Matsko, A.A. Savchenkov, V.S. Ilchenko, and L. Maleki, “Optical gyroscope with whispering gallery mode optical cavities,” Opt. Commun. 233, 107–112 (2004).
[Crossref]

Scheuer, J.

B. Z. Steinberg, J. Scheuer, and A. Boag, “Rotation-induced superstructure in slow-light waveguides with mode-degeneracy: optical gyroscopes with exponential sensitivity,” J. Opt. Soc. Am. B. 24, 1216–1224 (2007).
[Crossref]

J. Scheuer, “Radial Bragg Lasers: Optimal design for minimal threshold levels and enhanced mode discrimination,” J. Opt. Soc. B 24, 2178 (2007).
[Crossref]

X. Sun, J. Scheuer, and A. Yariv, “Optimal Design and Reduced Threshold in Vertically Emitting Circular Bragg Disk Resonator Lasers,” IEEE J. Sel. Top. Quantum Electron. 13, 359 (2007).
[Crossref]

J. Scheuer and A. Yariv, “Sagnac effect in coupled resonator slow light waveguide structures,” Phys. Rev. Lett. 96, 053901 (2006).
[Crossref] [PubMed]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “InGaAsP annular Bragg lasers: theory, applications and modal properties,” IEEE J. Sel. Top. Quantum Electron. 11, 476 (2005).
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,” Appl. Phys. Lett. 86, (2005) 251101.
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Low Threshold Two-Dimensional Annular Bragg Lasers,” Opt. Lett. 29, 2641–2643 (2004).
[Crossref] [PubMed]

J. Scheuer and A. Yariv, “Circular photonic crystal resonators,” Phys. Rev. E 70, 036603 (2004).
[Crossref]

J. Scheuer and A. Yariv, “Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators,” IEEE J. Quantum Electron. 39, (2003) 1555.
[Crossref]

J. Scheuer and A. Yariv, “Annular Bragg Defect mode Resonators,” J. Opt. Soc. Am. B. 20, (2003) 2285.
[Crossref]

Shamir, A.

B. Z. Steinberg, A. Shamir, and A. Boag, “Two-dimensional Green’s function theory for the electrodynamics of a rotating medium,” Phys. Rev. E. 74, 016608 (2006).
[Crossref]

Steinberg, B. Z.

B. Z. Steinberg, J. Scheuer, and A. Boag, “Rotation-induced superstructure in slow-light waveguides with mode-degeneracy: optical gyroscopes with exponential sensitivity,” J. Opt. Soc. Am. B. 24, 1216–1224 (2007).
[Crossref]

B. Z. Steinberg and A. Boag, “Splitting of microcavity degenerate modes in rotating photonic crystals - the miniature optical gyroscopes,” J. Opt. Soc. Am. B 24, 142–151 (2007).
[Crossref]

B. Z. Steinberg, A. Shamir, and A. Boag, “Two-dimensional Green’s function theory for the electrodynamics of a rotating medium,” Phys. Rev. E. 74, 016608 (2006).
[Crossref]

B. Z. Steinberg, “Rotating photonic crystals: A medium for compact optical gyroscopes,” Phys. Rev. E 71, 056621–7 (2005).
[Crossref]

Sun, X.

X. Sun, J. Scheuer, and A. Yariv, “Optimal Design and Reduced Threshold in Vertically Emitting Circular Bragg Disk Resonator Lasers,” IEEE J. Sel. Top. Quantum Electron. 13, 359 (2007).
[Crossref]

Sunada, S.

S. Sunada and T. Harayama, “Sagnac effect in resonant microcavities”, Phys. Rev. A 74, 021801(R) (2006).
[Crossref]

Wasilewski, Z.

M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
[Crossref]

Watson, G. N.

G. N. Watson, Theory of Bessel Functions, 2nd ed. London, U.K. Cambridge Univ. Press, 1952.

Wicks, G.

R. H. Jordan, D. G. Hall, O. King, G. Wicks, and S. Rishton, “Lasing behavior of circular grating surface-emitting semiconductor lasers,” J. Opt. Soc. Am. B. 14, 449 (1997).
[Crossref]

Yariv, A.

X. Sun, J. Scheuer, and A. Yariv, “Optimal Design and Reduced Threshold in Vertically Emitting Circular Bragg Disk Resonator Lasers,” IEEE J. Sel. Top. Quantum Electron. 13, 359 (2007).
[Crossref]

J. Scheuer and A. Yariv, “Sagnac effect in coupled resonator slow light waveguide structures,” Phys. Rev. Lett. 96, 053901 (2006).
[Crossref] [PubMed]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,” Appl. Phys. Lett. 86, (2005) 251101.
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “InGaAsP annular Bragg lasers: theory, applications and modal properties,” IEEE J. Sel. Top. Quantum Electron. 11, 476 (2005).
[Crossref]

J. Scheuer and A. Yariv, “Circular photonic crystal resonators,” Phys. Rev. E 70, 036603 (2004).
[Crossref]

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Low Threshold Two-Dimensional Annular Bragg Lasers,” Opt. Lett. 29, 2641–2643 (2004).
[Crossref] [PubMed]

J. Scheuer and A. Yariv, “Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators,” IEEE J. Quantum Electron. 39, (2003) 1555.
[Crossref]

J. Scheuer and A. Yariv, “Annular Bragg Defect mode Resonators,” J. Opt. Soc. Am. B. 20, (2003) 2285.
[Crossref]

A. Yariv, “Optical Electronics in Modern Communications,” (Oxford University Press, New York, 1997), 5th ed.

Appl. Phys. Lett. (2)

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “Lasing from a circular Bragg nanocavity with and ultrasmall modal volume,” Appl. Phys. Lett. 86, (2005) 251101.
[Crossref]

R. S. Penner, R. Bedford, H. Luo, S. Mendes, and M. Fallahi, “High-power wavelength-tunable circular-grating surface-emitting distributed Bragg deflector lasers,” Appl. Phys. Lett. 76, 1359 (2000).
[Crossref]

Electron. Lett. (1)

M. Fallahi, N. Peyghambarian, K. Kasunic, M. Dion, and Z. Wasilewski, “Circular-grating surface-emitting DBR laser array for free-space applications,” Electron. Lett. 32, 1583 (1996).
[Crossref]

IEEE J. Quantum Electron. (1)

J. Scheuer and A. Yariv, “Coupled-Waves Approach to the Design and Analysis of Bragg and Photonic Crystal Annular Resonators,” IEEE J. Quantum Electron. 39, (2003) 1555.
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (2)

J. Scheuer, W. M. J. Green, G. DeRose, and A. Yariv, “InGaAsP annular Bragg lasers: theory, applications and modal properties,” IEEE J. Sel. Top. Quantum Electron. 11, 476 (2005).
[Crossref]

X. Sun, J. Scheuer, and A. Yariv, “Optimal Design and Reduced Threshold in Vertically Emitting Circular Bragg Disk Resonator Lasers,” IEEE J. Sel. Top. Quantum Electron. 13, 359 (2007).
[Crossref]

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S. Kristjansson, M. Li, N. Eriksson, M. Hagberg, K.-J. Killius, and A. Larsson, “Circular grating coupled DBR laser with integrated focusing outcoupler,” IEEE Photon. Technol. Lett. 9, 416 (1997).
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[Crossref]

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[Crossref]

J. Scheuer and A. Yariv, “Annular Bragg Defect mode Resonators,” J. Opt. Soc. Am. B. 20, (2003) 2285.
[Crossref]

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J. Scheuer, “Radial Bragg Lasers: Optimal design for minimal threshold levels and enhanced mode discrimination,” J. Opt. Soc. B 24, 2178 (2007).
[Crossref]

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P. L. Greene and D. G. Hall, “Effects of radiation on circular-grating DFB lasers. I. Coupled-mode equations,” J. Quantum Electron. 37, 353 (2001).
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[Crossref]

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Figures (4)

Fig. 1.
Fig. 1.

Schematic (a) and SEM image (b) of circular Bragg resonator

Fig. 2.
Fig. 2.

Bragg disk resonator

Fig. 3.
Fig. 3.

The dependence of the cavity photon lifetime on the normalized rotation rate

Fig. 4.
Fig. 4.

(a) Lasing wavelengths and threshold levels dependence on Ω; (b) Field profile of stationary CBML

Equations (10)

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2 E z = ε ( r ) ω 2 c 2 E z + 2 i ω 2 c 2 Ω ω θ E z
1 ρ ρ ( ρ ρ ) ψ ( ρ ) 1 ρ 2 m 2 ψ ( ρ ) + k 0 2 [ n 2 ( ρ ) + 2 m Ω ω ] ψ ( ρ ) = 0
ψ ( x ) = A ( x ) H m ( 1 ) ( x ) + B ( x ) H m ( 2 ) ( x )
n eff 2 = n 2 + 2 m Ω ω
Δ ω = ω Δ n / n m Ω n 2
Δ ε ( x ) = α H m ( 2 ) ( x ) H m ( 1 ) ( x ) + α * H m ( 1 ) ( x ) H m ( 2 ) ( x )
τ exp [ 2 Δ ε 0 ω 0 π n 0 c ( ρ R ρ 0 ) ]
τ ( Ω ) exp [ 2 Δ ε 0 ω 0 π c n 0 2 + 2 m Ω / ω 0 ( ρ R ρ 0 ) ]
τ ( Ω ) τ ( Ω = 0 ) exp [ 4 m Δ ε 0 ( ρ R ρ 0 ) π n 0 3 c Ω ]
m opt = ( x R a 0 ) 2 a 1

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