Abstract

I consider a topological transition resulting in an abrupt change by π of the geometric (Berry's) phase occurring in an optical modulator based on a fiber ring resonator. The topological transition, induced by modifying the birefringence along the ring, manifests itself in a narrow resonance in the transmission of the optical modulator. Contrary to the adiabatic case, the condition of critical coupling is not essential to obtain deep modulation of the transmission. Moreover, broadening of the resonance due to the finite linewidth of the optical input is also discussed.

© 2006 Optical Society of America

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  1. A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett. 36, 321-322 (2000).
  2. A. Yariv, "Critical coupling and its control in optical waveguide-ring resonator systems," IEEE Photon. Technol. Lett. 14, 483-485 (2002).
  3. J. M. Choi, R. K. Lee, and A. Yariv, "Control of critical coupling in a ring resonator-fiber configuration: application to wavelength-selective switching, modulation, amplification, and oscillation," Opt. Lett. 26, 1236-1238 (2001).
  4. V. M. Menon, W. Tong, and S. R. Forrest, "Control of quality factor and critical coupling in microring resonators through integration of a semiconductor optical amplifier," IEEE Photon. Technol. Lett. 16, 1343-1345 (2004).
  5. Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).
  6. S. Pancharatnam, "Generalized theory of interference, and its applications," Proc. Indian Acad. Sci. Sect. A 44, 247-262 (1956).
  7. J. N. Ross, "The rotation of the polarization in low birefringence monomode optical fibers due to geometric effects," Opt. Quantum Electron. 16, 455-461 (1984).
  8. A. Tomita and R. Y. Chiao, "Observation of Berry's topological phase by use of an optical fiber," Phys. Rev. Lett. 57, 937-940 (1986).
    [CrossRef]
  9. F. D. M. Haldane, "Path dependence of the geometric rotation of polarization in optical fibers," Opt. Lett. 11, 730-732 (1986).
  10. M. V. Berry, "Interpreting the anholonomy of coiled light," Nature 326, 277-278 (1987).
  11. M. V. Berry, "The adiabatic phase and Pancharatnam's phase for polarized light," J. Mod. Opt. 34, 1401-1407 (1987).
  12. N. J. Frigo, "A generalized geometrical representation of coupled mode theory," IEEE J. Quantum Electron. QE-22, 2131-2140 (1986).
  13. M. Kugler and S. Shtrikman, "Berry's phase, locally inertial frames, and classical analogues," Phys. Rev. D 37, 934-937 (1988).
    [CrossRef]
  14. H. Jiao, S. R. Wilkinson, and R. Y. Chiao, "Two topological phases in optics by means of a nonplanar Mach-Zehnder interferometer," Phys. Rev. A 39, 3475-3486 (1989).
    [CrossRef]
  15. S. G. Lipson, "Berry's phase in optical interferometry: a simple derivation," Opt. Lett. 15, 154-155 (1990).
  16. O. J. Kwon, H. T. Lee, S. B. Lee, and S. S. Choi, "Observation of a topological phase in a noncyclic case by use of a half-turn optical fiber," Opt. Lett. 16, 223-225 (1991).
  17. L. H. Ryder, "The optical Berry phase and the Gauss-Bonnet theorem," Eur. J. Phys. 12, 15-18 (1991).
  18. C. R. Menyuk and P. K. A. Wai, "Polarization evolution and dispersion in fibers with spatially varying birefringence," J. Opt. Soc. Am. B 11, 1288-1296 (1994).
  19. C. S. Brown and A. E. Bak, "Unified formalism for polarization optics with application to polarimetry on a twisted optical fiber," Opt. Eng. (Bellingham) 34, 1625-1635 (1995).
  20. E. M. Frins and W. Dultz, "Direct observation of Berry's topological phase by using an optical fiber ring interferometer," Opt. Commun. 136, 354-356 (1997).
  21. F. Wassmann and A. Ankiewicz, "Berry's phase analysis of polarization rotation in helicoidal fibers," Appl. Opt. 37, 3902-3911 (1998).
  22. P. Senthilkumaran, B. Culshaw, and G. Thursby, "Fiber-optic Sagnac interferometer for the observation of Berry's topological phase," J. Opt. Soc. Am. B 17, 1914-1919 (2000).
  23. P. Senthilkumaran, G. Thursby, and B. Culshaw, "Fiber-optic tunable loop mirror using Berry's geometric phase," Opt. Lett. 25, 533-535 (2000).
  24. M. V. Berry, "Quantal phase-factors accompanying adiabatic changes," Proc. R. Soc. London Ser. A 392, 45-57 (1984).
  25. R. Bhandari, "SU(2) phase jumps and geometric phases," Phys. Lett. A 157, 221-225 (1991).
  26. R. Bhandari, "Interferometry without beam-splitter--a sensitive technique for spinor phases," Phys. Lett. A 180, 21-24 (1993).
  27. R. Bhandari, "Polarization of light and topological phases," Phys. Rep. 281, 2-64 (1997).
  28. H. Schmitzer, S. Klein, and W. Dultz, "Nonlinearity of Pancharatnam's topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
    [CrossRef]
  29. B. Hils, W. Dultz, and W. Martienssen, "Nonlinearity of Pancharatnam's geometric phase in polarizing interferometers," Phys. Rev. E 60, 2322-2329 (1999).
    [CrossRef]
  30. S. P. Tewari, V. S. Ashoka, and M. S. Ramana, "A 4-arm Sagnac interferometric switch," Opt. Commun. 120, 235-238 (1995).
  31. Q. Li, L. F. Gong, Y. H. Gao, and Y. L. Chen, "Experimental observation of the nonlinearity of the Pancharatnam phase with a Michelson interferometer," Opt. Commun. 169, 17-22 (1999).
  32. Y. Lyanda-Geller, "Topological transitions in Berry's phase interference effects," Phys. Rev. Lett. 71, 657-661 (1993).
    [CrossRef]
  33. K. P. Marzlin and B. C. Sanders, "Inconsistency in the application of the adiabatic theorem," Phys. Rev. Lett. 93, 160408 (2004).
    [CrossRef]
  34. E. Buks, "Upper bound imposed upon responsivity of optical modulators," arxiv.org/abs/quant-ph/0510119.
  35. A. Simon and R. Ulrich, "Evolution of polarization along a single-mode fiber," Appl. Phys. Lett. 31, 517-520 (1977).
  36. R. Ulrich and A. Simon, "Polarization optics of twisted single-mode fibers," Appl. Opt. 18, 2241-2251 (1979).
  37. C. H. Tang, "An orthogonal coordinate system for curved pipes (correspondence)," IEEE Trans. Microwave Theory Tech. MTT-18, 69 (1970).

2004 (2)

V. M. Menon, W. Tong, and S. R. Forrest, "Control of quality factor and critical coupling in microring resonators through integration of a semiconductor optical amplifier," IEEE Photon. Technol. Lett. 16, 1343-1345 (2004).

K. P. Marzlin and B. C. Sanders, "Inconsistency in the application of the adiabatic theorem," Phys. Rev. Lett. 93, 160408 (2004).
[CrossRef]

2002 (1)

A. Yariv, "Critical coupling and its control in optical waveguide-ring resonator systems," IEEE Photon. Technol. Lett. 14, 483-485 (2002).

2001 (1)

2000 (3)

1999 (2)

Q. Li, L. F. Gong, Y. H. Gao, and Y. L. Chen, "Experimental observation of the nonlinearity of the Pancharatnam phase with a Michelson interferometer," Opt. Commun. 169, 17-22 (1999).

B. Hils, W. Dultz, and W. Martienssen, "Nonlinearity of Pancharatnam's geometric phase in polarizing interferometers," Phys. Rev. E 60, 2322-2329 (1999).
[CrossRef]

1998 (1)

1997 (2)

R. Bhandari, "Polarization of light and topological phases," Phys. Rep. 281, 2-64 (1997).

E. M. Frins and W. Dultz, "Direct observation of Berry's topological phase by using an optical fiber ring interferometer," Opt. Commun. 136, 354-356 (1997).

1995 (2)

C. S. Brown and A. E. Bak, "Unified formalism for polarization optics with application to polarimetry on a twisted optical fiber," Opt. Eng. (Bellingham) 34, 1625-1635 (1995).

S. P. Tewari, V. S. Ashoka, and M. S. Ramana, "A 4-arm Sagnac interferometric switch," Opt. Commun. 120, 235-238 (1995).

1994 (1)

1993 (3)

H. Schmitzer, S. Klein, and W. Dultz, "Nonlinearity of Pancharatnam's topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef]

Y. Lyanda-Geller, "Topological transitions in Berry's phase interference effects," Phys. Rev. Lett. 71, 657-661 (1993).
[CrossRef]

R. Bhandari, "Interferometry without beam-splitter--a sensitive technique for spinor phases," Phys. Lett. A 180, 21-24 (1993).

1991 (3)

R. Bhandari, "SU(2) phase jumps and geometric phases," Phys. Lett. A 157, 221-225 (1991).

L. H. Ryder, "The optical Berry phase and the Gauss-Bonnet theorem," Eur. J. Phys. 12, 15-18 (1991).

O. J. Kwon, H. T. Lee, S. B. Lee, and S. S. Choi, "Observation of a topological phase in a noncyclic case by use of a half-turn optical fiber," Opt. Lett. 16, 223-225 (1991).

1990 (1)

1989 (1)

H. Jiao, S. R. Wilkinson, and R. Y. Chiao, "Two topological phases in optics by means of a nonplanar Mach-Zehnder interferometer," Phys. Rev. A 39, 3475-3486 (1989).
[CrossRef]

1988 (1)

M. Kugler and S. Shtrikman, "Berry's phase, locally inertial frames, and classical analogues," Phys. Rev. D 37, 934-937 (1988).
[CrossRef]

1987 (2)

M. V. Berry, "Interpreting the anholonomy of coiled light," Nature 326, 277-278 (1987).

M. V. Berry, "The adiabatic phase and Pancharatnam's phase for polarized light," J. Mod. Opt. 34, 1401-1407 (1987).

1986 (3)

N. J. Frigo, "A generalized geometrical representation of coupled mode theory," IEEE J. Quantum Electron. QE-22, 2131-2140 (1986).

A. Tomita and R. Y. Chiao, "Observation of Berry's topological phase by use of an optical fiber," Phys. Rev. Lett. 57, 937-940 (1986).
[CrossRef]

F. D. M. Haldane, "Path dependence of the geometric rotation of polarization in optical fibers," Opt. Lett. 11, 730-732 (1986).

1984 (2)

J. N. Ross, "The rotation of the polarization in low birefringence monomode optical fibers due to geometric effects," Opt. Quantum Electron. 16, 455-461 (1984).

M. V. Berry, "Quantal phase-factors accompanying adiabatic changes," Proc. R. Soc. London Ser. A 392, 45-57 (1984).

1979 (1)

1977 (1)

A. Simon and R. Ulrich, "Evolution of polarization along a single-mode fiber," Appl. Phys. Lett. 31, 517-520 (1977).

1970 (1)

C. H. Tang, "An orthogonal coordinate system for curved pipes (correspondence)," IEEE Trans. Microwave Theory Tech. MTT-18, 69 (1970).

1956 (1)

S. Pancharatnam, "Generalized theory of interference, and its applications," Proc. Indian Acad. Sci. Sect. A 44, 247-262 (1956).

Ankiewicz, A.

Ashoka, V. S.

S. P. Tewari, V. S. Ashoka, and M. S. Ramana, "A 4-arm Sagnac interferometric switch," Opt. Commun. 120, 235-238 (1995).

Bak, A. E.

C. S. Brown and A. E. Bak, "Unified formalism for polarization optics with application to polarimetry on a twisted optical fiber," Opt. Eng. (Bellingham) 34, 1625-1635 (1995).

Berry, M. V.

M. V. Berry, "The adiabatic phase and Pancharatnam's phase for polarized light," J. Mod. Opt. 34, 1401-1407 (1987).

M. V. Berry, "Interpreting the anholonomy of coiled light," Nature 326, 277-278 (1987).

M. V. Berry, "Quantal phase-factors accompanying adiabatic changes," Proc. R. Soc. London Ser. A 392, 45-57 (1984).

Bhandari, R.

R. Bhandari, "Polarization of light and topological phases," Phys. Rep. 281, 2-64 (1997).

R. Bhandari, "Interferometry without beam-splitter--a sensitive technique for spinor phases," Phys. Lett. A 180, 21-24 (1993).

R. Bhandari, "SU(2) phase jumps and geometric phases," Phys. Lett. A 157, 221-225 (1991).

Brown, C. S.

C. S. Brown and A. E. Bak, "Unified formalism for polarization optics with application to polarimetry on a twisted optical fiber," Opt. Eng. (Bellingham) 34, 1625-1635 (1995).

Buks, E.

E. Buks, "Upper bound imposed upon responsivity of optical modulators," arxiv.org/abs/quant-ph/0510119.

Chen, Y. L.

Q. Li, L. F. Gong, Y. H. Gao, and Y. L. Chen, "Experimental observation of the nonlinearity of the Pancharatnam phase with a Michelson interferometer," Opt. Commun. 169, 17-22 (1999).

Chiao, R. Y.

H. Jiao, S. R. Wilkinson, and R. Y. Chiao, "Two topological phases in optics by means of a nonplanar Mach-Zehnder interferometer," Phys. Rev. A 39, 3475-3486 (1989).
[CrossRef]

A. Tomita and R. Y. Chiao, "Observation of Berry's topological phase by use of an optical fiber," Phys. Rev. Lett. 57, 937-940 (1986).
[CrossRef]

Choi, J. M.

Choi, S. S.

Culshaw, B.

Dultz, W.

B. Hils, W. Dultz, and W. Martienssen, "Nonlinearity of Pancharatnam's geometric phase in polarizing interferometers," Phys. Rev. E 60, 2322-2329 (1999).
[CrossRef]

E. M. Frins and W. Dultz, "Direct observation of Berry's topological phase by using an optical fiber ring interferometer," Opt. Commun. 136, 354-356 (1997).

H. Schmitzer, S. Klein, and W. Dultz, "Nonlinearity of Pancharatnam's topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef]

Forrest, S. R.

V. M. Menon, W. Tong, and S. R. Forrest, "Control of quality factor and critical coupling in microring resonators through integration of a semiconductor optical amplifier," IEEE Photon. Technol. Lett. 16, 1343-1345 (2004).

Frigo, N. J.

N. J. Frigo, "A generalized geometrical representation of coupled mode theory," IEEE J. Quantum Electron. QE-22, 2131-2140 (1986).

Frins, E. M.

E. M. Frins and W. Dultz, "Direct observation of Berry's topological phase by using an optical fiber ring interferometer," Opt. Commun. 136, 354-356 (1997).

Gao, Y. H.

Q. Li, L. F. Gong, Y. H. Gao, and Y. L. Chen, "Experimental observation of the nonlinearity of the Pancharatnam phase with a Michelson interferometer," Opt. Commun. 169, 17-22 (1999).

Gong, L. F.

Q. Li, L. F. Gong, Y. H. Gao, and Y. L. Chen, "Experimental observation of the nonlinearity of the Pancharatnam phase with a Michelson interferometer," Opt. Commun. 169, 17-22 (1999).

Haldane, F. D. M.

Hils, B.

B. Hils, W. Dultz, and W. Martienssen, "Nonlinearity of Pancharatnam's geometric phase in polarizing interferometers," Phys. Rev. E 60, 2322-2329 (1999).
[CrossRef]

Jiao, H.

H. Jiao, S. R. Wilkinson, and R. Y. Chiao, "Two topological phases in optics by means of a nonplanar Mach-Zehnder interferometer," Phys. Rev. A 39, 3475-3486 (1989).
[CrossRef]

Klein, S.

H. Schmitzer, S. Klein, and W. Dultz, "Nonlinearity of Pancharatnam's topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef]

Kravtsov, Yu. A.

Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).

Kugler, M.

M. Kugler and S. Shtrikman, "Berry's phase, locally inertial frames, and classical analogues," Phys. Rev. D 37, 934-937 (1988).
[CrossRef]

Kwon, O. J.

Lee, H. T.

Lee, R. K.

Lee, S. B.

Li, Q.

Q. Li, L. F. Gong, Y. H. Gao, and Y. L. Chen, "Experimental observation of the nonlinearity of the Pancharatnam phase with a Michelson interferometer," Opt. Commun. 169, 17-22 (1999).

Lipson, S. G.

Lyanda-Geller, Y.

Y. Lyanda-Geller, "Topological transitions in Berry's phase interference effects," Phys. Rev. Lett. 71, 657-661 (1993).
[CrossRef]

Martienssen, W.

B. Hils, W. Dultz, and W. Martienssen, "Nonlinearity of Pancharatnam's geometric phase in polarizing interferometers," Phys. Rev. E 60, 2322-2329 (1999).
[CrossRef]

Marzlin, K. P.

K. P. Marzlin and B. C. Sanders, "Inconsistency in the application of the adiabatic theorem," Phys. Rev. Lett. 93, 160408 (2004).
[CrossRef]

Menon, V. M.

V. M. Menon, W. Tong, and S. R. Forrest, "Control of quality factor and critical coupling in microring resonators through integration of a semiconductor optical amplifier," IEEE Photon. Technol. Lett. 16, 1343-1345 (2004).

Menyuk, C. R.

Orlov, Yu. I.

Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).

Pancharatnam, S.

S. Pancharatnam, "Generalized theory of interference, and its applications," Proc. Indian Acad. Sci. Sect. A 44, 247-262 (1956).

Ramana, M. S.

S. P. Tewari, V. S. Ashoka, and M. S. Ramana, "A 4-arm Sagnac interferometric switch," Opt. Commun. 120, 235-238 (1995).

Ross, J. N.

J. N. Ross, "The rotation of the polarization in low birefringence monomode optical fibers due to geometric effects," Opt. Quantum Electron. 16, 455-461 (1984).

Ryder, L. H.

L. H. Ryder, "The optical Berry phase and the Gauss-Bonnet theorem," Eur. J. Phys. 12, 15-18 (1991).

Sanders, B. C.

K. P. Marzlin and B. C. Sanders, "Inconsistency in the application of the adiabatic theorem," Phys. Rev. Lett. 93, 160408 (2004).
[CrossRef]

Schmitzer, H.

H. Schmitzer, S. Klein, and W. Dultz, "Nonlinearity of Pancharatnam's topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef]

Senthilkumaran, P.

Shtrikman, S.

M. Kugler and S. Shtrikman, "Berry's phase, locally inertial frames, and classical analogues," Phys. Rev. D 37, 934-937 (1988).
[CrossRef]

Simon, A.

R. Ulrich and A. Simon, "Polarization optics of twisted single-mode fibers," Appl. Opt. 18, 2241-2251 (1979).

A. Simon and R. Ulrich, "Evolution of polarization along a single-mode fiber," Appl. Phys. Lett. 31, 517-520 (1977).

Tang, C. H.

C. H. Tang, "An orthogonal coordinate system for curved pipes (correspondence)," IEEE Trans. Microwave Theory Tech. MTT-18, 69 (1970).

Tewari, S. P.

S. P. Tewari, V. S. Ashoka, and M. S. Ramana, "A 4-arm Sagnac interferometric switch," Opt. Commun. 120, 235-238 (1995).

Thursby, G.

Tomita, A.

A. Tomita and R. Y. Chiao, "Observation of Berry's topological phase by use of an optical fiber," Phys. Rev. Lett. 57, 937-940 (1986).
[CrossRef]

Tong, W.

V. M. Menon, W. Tong, and S. R. Forrest, "Control of quality factor and critical coupling in microring resonators through integration of a semiconductor optical amplifier," IEEE Photon. Technol. Lett. 16, 1343-1345 (2004).

Ulrich, R.

R. Ulrich and A. Simon, "Polarization optics of twisted single-mode fibers," Appl. Opt. 18, 2241-2251 (1979).

A. Simon and R. Ulrich, "Evolution of polarization along a single-mode fiber," Appl. Phys. Lett. 31, 517-520 (1977).

Wai, P. K. A.

Wassmann, F.

Wilkinson, S. R.

H. Jiao, S. R. Wilkinson, and R. Y. Chiao, "Two topological phases in optics by means of a nonplanar Mach-Zehnder interferometer," Phys. Rev. A 39, 3475-3486 (1989).
[CrossRef]

Yariv, A.

A. Yariv, "Critical coupling and its control in optical waveguide-ring resonator systems," IEEE Photon. Technol. Lett. 14, 483-485 (2002).

J. M. Choi, R. K. Lee, and A. Yariv, "Control of critical coupling in a ring resonator-fiber configuration: application to wavelength-selective switching, modulation, amplification, and oscillation," Opt. Lett. 26, 1236-1238 (2001).

A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett. 36, 321-322 (2000).

Appl. Opt. (2)

Appl. Phys. Lett. (1)

A. Simon and R. Ulrich, "Evolution of polarization along a single-mode fiber," Appl. Phys. Lett. 31, 517-520 (1977).

Electron. Lett. (1)

A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett. 36, 321-322 (2000).

Eur. J. Phys. (1)

L. H. Ryder, "The optical Berry phase and the Gauss-Bonnet theorem," Eur. J. Phys. 12, 15-18 (1991).

IEEE J. Quantum Electron. (1)

N. J. Frigo, "A generalized geometrical representation of coupled mode theory," IEEE J. Quantum Electron. QE-22, 2131-2140 (1986).

IEEE Photon. Technol. Lett. (2)

V. M. Menon, W. Tong, and S. R. Forrest, "Control of quality factor and critical coupling in microring resonators through integration of a semiconductor optical amplifier," IEEE Photon. Technol. Lett. 16, 1343-1345 (2004).

A. Yariv, "Critical coupling and its control in optical waveguide-ring resonator systems," IEEE Photon. Technol. Lett. 14, 483-485 (2002).

IEEE Trans. Microwave Theory Tech. (1)

C. H. Tang, "An orthogonal coordinate system for curved pipes (correspondence)," IEEE Trans. Microwave Theory Tech. MTT-18, 69 (1970).

J. Mod. Opt. (1)

M. V. Berry, "The adiabatic phase and Pancharatnam's phase for polarized light," J. Mod. Opt. 34, 1401-1407 (1987).

J. Opt. Soc. Am. B (2)

Nature (1)

M. V. Berry, "Interpreting the anholonomy of coiled light," Nature 326, 277-278 (1987).

Opt. Commun. (3)

E. M. Frins and W. Dultz, "Direct observation of Berry's topological phase by using an optical fiber ring interferometer," Opt. Commun. 136, 354-356 (1997).

S. P. Tewari, V. S. Ashoka, and M. S. Ramana, "A 4-arm Sagnac interferometric switch," Opt. Commun. 120, 235-238 (1995).

Q. Li, L. F. Gong, Y. H. Gao, and Y. L. Chen, "Experimental observation of the nonlinearity of the Pancharatnam phase with a Michelson interferometer," Opt. Commun. 169, 17-22 (1999).

Opt. Eng. (Bellingham) (1)

C. S. Brown and A. E. Bak, "Unified formalism for polarization optics with application to polarimetry on a twisted optical fiber," Opt. Eng. (Bellingham) 34, 1625-1635 (1995).

Opt. Lett. (5)

Opt. Quantum Electron. (1)

J. N. Ross, "The rotation of the polarization in low birefringence monomode optical fibers due to geometric effects," Opt. Quantum Electron. 16, 455-461 (1984).

Phys. Lett. A (2)

R. Bhandari, "SU(2) phase jumps and geometric phases," Phys. Lett. A 157, 221-225 (1991).

R. Bhandari, "Interferometry without beam-splitter--a sensitive technique for spinor phases," Phys. Lett. A 180, 21-24 (1993).

Phys. Rep. (1)

R. Bhandari, "Polarization of light and topological phases," Phys. Rep. 281, 2-64 (1997).

Phys. Rev. A (1)

H. Jiao, S. R. Wilkinson, and R. Y. Chiao, "Two topological phases in optics by means of a nonplanar Mach-Zehnder interferometer," Phys. Rev. A 39, 3475-3486 (1989).
[CrossRef]

Phys. Rev. D (1)

M. Kugler and S. Shtrikman, "Berry's phase, locally inertial frames, and classical analogues," Phys. Rev. D 37, 934-937 (1988).
[CrossRef]

Phys. Rev. E (1)

B. Hils, W. Dultz, and W. Martienssen, "Nonlinearity of Pancharatnam's geometric phase in polarizing interferometers," Phys. Rev. E 60, 2322-2329 (1999).
[CrossRef]

Phys. Rev. Lett. (4)

A. Tomita and R. Y. Chiao, "Observation of Berry's topological phase by use of an optical fiber," Phys. Rev. Lett. 57, 937-940 (1986).
[CrossRef]

H. Schmitzer, S. Klein, and W. Dultz, "Nonlinearity of Pancharatnam's topological phase," Phys. Rev. Lett. 71, 1530-1533 (1993).
[CrossRef]

Y. Lyanda-Geller, "Topological transitions in Berry's phase interference effects," Phys. Rev. Lett. 71, 657-661 (1993).
[CrossRef]

K. P. Marzlin and B. C. Sanders, "Inconsistency in the application of the adiabatic theorem," Phys. Rev. Lett. 93, 160408 (2004).
[CrossRef]

Proc. Indian Acad. Sci. Sect. A (1)

S. Pancharatnam, "Generalized theory of interference, and its applications," Proc. Indian Acad. Sci. Sect. A 44, 247-262 (1956).

Proc. R. Soc. London Ser. A (1)

M. V. Berry, "Quantal phase-factors accompanying adiabatic changes," Proc. R. Soc. London Ser. A 392, 45-57 (1984).

Other (2)

Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomogeneous Media (Springer-Verlag, 1990).

E. Buks, "Upper bound imposed upon responsivity of optical modulators," arxiv.org/abs/quant-ph/0510119.

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