Abstract

A new method of obtaining the eigenmode of an anisotropic planar waveguide is studied. The planar waveguide can be composed of an arbitrary number of isotropic or uniaxially anisotropic layers, provided all the optical axes arc lying in the incidence plane. Since the equation of motion for the TE mode is not different from that for the TE mode in an isotropic planar waveguide, only the equation of motion for the TM mode is of any concern. For this kind of device structure, the Maxwell's equations can be solved for one component of the electric field and one component of the magnetic field. The resulting coupled set of equations is linear in the propagation constant and the eigenmode can be easily obtained using canned numerical routines.

© 2004 Optical Society of Korea

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  1. T. P. Sosnowski, "Polarization mode filters for integrated optics," Opt. Commun., vol. 4, no. 6, pp. 408-412, 1972
    [CrossRef]
  2. M. Wakaki, Y. Komachi, H. Machida, and H. Kobayashi, "Fiber-optic polarizer using birefringent crystal as a cladding," Appl. Opt., vol. 35, no. 15, pp. 2591-2594, 1996
    [CrossRef]
  3. G. K. Singh, V. K. Sharma, A. Kapoor, and K. N. Tripathi, "Four layer polymeric mode polarization filter for integrated optics," Optics & Laser Technology, vol. 33, pp. 455-459, 2001
    [CrossRef]
  4. K. Liu, W. V. Sorin, and H. J. Shaw, "Single-mode-fiber evanescent polarizer/amplitude modulator using liquid crystals," Opt. Lett., vol. 11, no. 3, pp. 180-182, 1986
    [CrossRef]
  5. R. A. Kashnow and C. R. Stein, "Total-reflection liquid-crystal electrooptic device," App. Opt., vol. 12, no. 10, pp. 2309-2311, 1973
    [CrossRef]
  6. S. Wang, M. Shar, and J. D. Crow, "Studies of the use of gyrotropic and anisotropic materials for mode conversion in thin-film optical-waveguide applications," J. Appl. Phys., vol. 43, no. 4, pp. 1861-1875, 1972
    [CrossRef]
  7. S. Yamamoto, Y. Koyamada, and T. Makimoto, "Normalmode analysis of anisotropic and gyrotropic thin-film waveguides for integrated optics", J. Appl. Phys., vol. 43, no. 12, pp. 5090-5097, 1972
    [CrossRef]
  8. J. Ctyroky and M. Cada, "Guided and semileaky modes in anisotropic optical waveguides of the LiNb<TEX>$O_3$</TEX> type," Opt. Commun., vol. 27, no. 3, pp. 353-357, 1978
    [CrossRef]
  9. K. Yamanouchi, T. Kamiya, and K. Shibayama, "New leaky surface waves in anisotropic metal-diffused optical waveguides," IEEE Trans. Microwave Theory Tech., vol. 26, no. 4, pp. 298-305, 1978
    [CrossRef]
  10. S. K. Sheem, W. K. Burns, and A. F. Milton, "Leaky-mode propagation in Ti-diffused LiNb<TEX>$O_3$</TEX> and LiTa<TEX>$O_3$</TEX> waveguides," Opt. Lett., vol. 3, no. 3, pp. 76-78, 1978
    [CrossRef]
  11. L. Torner, J. Recolons, and J. P. Torres, "Guided-to-leaky mode transition in uniaxial optical slab waveguides," J. Lightwave Technol., vol. 11, no. 10, pp. 1592-1600, 1993
    [CrossRef]
  12. D. F. Nelson and J. McKenna, "Electromagnetic modes of anisotropic dielectric waveguides at p-n junctions," J. Appl. Phys., vol. 38, no. 10, pp. 4057-4074, 1967
    [CrossRef]
  13. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: toward microscale lightwave circuits," J. Lightwave Technol., vol. 17, no. 11, pp. 2032-2038, 1999
    [CrossRef]
  14. D. P. Gia Russo and J. H. Harris, "Wave propagation in anisotropic thin-film optical waveguides," J. Opt. Soc. Am., vol. 63, no. 2, pp. 138-145, 1973
    [CrossRef]
  15. M. S. Kharusi, "Uniaxial and biaxial anisotropy in thin-film optical waveguides," J. Opt. Soc. Am., vol. 64, no. 1, pp. 27-35, 1974
    [CrossRef]
  16. W. K. Burns and J. Warner, "Mode dispersion in uniaxial optical waveguides," J. Opt. Soc. Am., vol. 64, no. 4, pp. 441-446, 1974
    [CrossRef]
  17. V. Ramaswamy, "Propagation in asymmetrical anisotropic film waveguides," App. Opt., vol. 13, no. 6, pp. 1363-1371, 1974
    [CrossRef]
  18. D. Marcuse, "Modes of a symmetric slab optical waveguide in birefringent media-part I: optical axis not in plane of slab," IEEE J. Quantum Electron., vol. 14, no. 10, pp. 736-741, 1978
    [CrossRef]
  19. D. Marcuse and I. P. Kaminow, "Modes of a symmetric slab optical waveguide in birefringent media, part II: slab with coplanar optical axis," IEEE J. Quantum Electron., vol. 15, no. 2, pp. 92-101. 1979
    [CrossRef]
  20. E. A. Kolosovsky, D. V. Petrov, A. V. Tsarev, and I. B. Yakovkin, "An exact method for analysing light propagation in anisotropic inhomogeneous optical waveguides," Opt. Commun., vol. 43, no. 1, pp. 21-25, 1982
    [CrossRef]
  21. A. Knoesen, T. K. Gayload, and M. G. Moharam, "Hybrid guided modes in uniaxial dielectric planar waveguides," J. Lightwave Technol., vol. 6, no. 6, pp. 1083-1104, 1988
    [CrossRef]
  22. A. D"Orazio, M. De Sario, V. Petruzzelli, and F. Prudenzano, "Leaky mode propagation in planar multilayer birefringent waveguides: longitudinal dielectric tensor configuration," J. Lightwave Technol., vol. 12, no. 3, pp. 453-462, 1994
    [CrossRef]
  23. T. A. Maldonado and T. K. Gayload, "Hybrid guided modes in biaxial planar waveguides," J. Lightwave Technol., vol. 14, no. 3, pp. 486-499, 1996
    [CrossRef]
  24. D. V. Petrov and E. A. Kolosovsky, "Radiation modes of an anisotropic optical waveguide with arbitrary refractive index profile," Opt. Commun., vol. 124, pp. 240-243, 1996
    [CrossRef]
  25. A. A. Romanenko, "Features of mode"s characteristics of anisotropic planar optical waveguides in the vicinity of degeneration points," Proc. SPIE, vol. 4358, pp. 203-211, 2001
    [CrossRef]
  26. Q. Guo, Z. Shi, and W. Xu, "Modal fields of symmetric metal-clad planar uniaxial crystal waveguide," Proc. SPIE, vol. 4603, pp. 30-35, 2001
    [CrossRef]
  27. Y. Jeong and B. Lee, "Theory of electrically controllable long-period gratings built in liquid-crystal fibers", Opt. Eng., vol. 40, no. 7, pp. 1227-1233, 2001
    [CrossRef]
  28. M. O. Vassell, "Structure of optical guided modes in planar multilayers of optically anisotropic materials," J. Opt. Soc. Am., vol. 64, no. 2, pp. 166-173, 1974
    [CrossRef]
  29. P. Yeh, "Electromagnetic propagation in birefringent layered media," J. Opt. Soc. Am., vol. 69, no. 5, pp. 742-756, 1979
    [CrossRef]
  30. L. M. Walpita, "Solutions for planar optical waveguide equations by selecting zero elements in a characteristic matrix," J. Opt. Soc. Am. A, vol. 2, no. 4, pp. 595-602, 1985
    [CrossRef]
  31. J. F. Offersgaard, "Waveguides formed by multiple layers of dielectric, semiconductor, or metallic media with optical loss and anisotropy," J. Opt. Soc. Am. A, vol. 12, no. 10, pp. 2122-2128, 1995
    [CrossRef]
  32. I. Hodgkinson, S. Kassam, J. Hazel, S. Cloughley, and Q. Wu, "Modal contours for biaxial thin-film waveguides," Appl. Opt., vol. 35, no. 28, pp. 5569-5572, 1996
    [CrossRef]
  33. L. Thylen and D. Yevick, "Beam propagation method in anisotropic media," Appl. Opt., vol. 21, no. 15, pp. 2751-2754, 1982
    [CrossRef]
  34. J. A. Fleck, Jr. and M. D. Feit, "Beam propagation method in uniaxial anisotropic media," J. Opt. Soc. Am., vol. 73, no. 7, pp. 920-926, 1983
    [CrossRef]
  35. G. R. Hadley, "Wide-angle beam propagation using Pade approximant operators," Opt. Lett., vol. 17, no. 20, pp. 1426-1428, 1992
    [CrossRef]
  36. C. L. Xu, W. P. Huang, J. Chrostowski, and S. K. Chaudhuri, "A full-vectorial beam propagation method for anisotropic waveguides," J. Lightwave Technol., vol. 12, no. 11, pp. 1926-1931, 1994
    [CrossRef]
  37. S. V. Polstyanko and J. Lee, "<TEX>$H_1$</TEX> (curl) tangential vector finite element method for modeling anisotropic optical fibers," J. Lightwave Technol., vol. 13, no. 11, pp. 2290-2295, 1995
    [CrossRef]
  38. Y. Tsuji, M. Koshiba, and N. Takimoto, "Finite element beam propagation method for anisotropic optical waveguides," J. Lightwave Technol., vol. 17, no. 4, pp. 723-728, 1999
    [CrossRef]
  39. K. Saitoh and M. Koshiba, "Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides," J. Lightwave Technol., vol. 19, no. 3, pp. 405-413, 2001
    [CrossRef]
  40. K. Saitoh and M. Koshiba, "Approximate scalar finite-element beam-propagation method with perfectly matched layers for anisotropic optical waveguides," J. Lightwave Technol., vol.19, no. 5, pp. 786-792, 2001
    [CrossRef]
  41. A. Ciattoni, B. Crosignani, and P. Di Porto, "Vectorial theory of propagation in uniaxially anisotropic media," J. Opt. Soc. Am. A, vol. 18, no. 7, pp. 1656-1661, 2001
    [CrossRef]
  42. G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of anisotropic planar waveguide," in Frontiers in Optics/ Laser Science XIX Conference, Optical Society of America, Tucson, Arizona, USA, MT62, 2003
  43. D. W. Berreman, "Optics in stratified and anisotropic media: 4<TEX>$\times$</TEX>4-matrix formulation," J. Opt. Soc. Am., vol. 62, no. 4, pp. 502-510, 1972
    [CrossRef]
  44. P. J. Lin-Chung and S. Teitler, "4<TEX>$\times$</TEX>4 matrix formalisms for optics in stratified anisotropic media," J. Opt. Soc. Am. A, vol. 1, no. 7, pp. 703-705, 1984
    [CrossRef]
  45. T. Tamir, Guided-Wave Optoelectronics, 2nd ed. (Springer-Verlag, Berlin, 1990), Chap. 2
  46. G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of planar magnetooptical waveguide," in The 3rd International Conference on Advanced Materials and Devices, Korean Physical Society, Jeju, Korea, DEV-P22, 2003
  47. G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of magnetooptical planar waveguide," J. Korean Phys. Soc., vol. 45, no. 1, pp. 211-216, 2004
  48. J. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994
    [CrossRef]

2004 (1)

G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of magnetooptical planar waveguide," J. Korean Phys. Soc., vol. 45, no. 1, pp. 211-216, 2004

2003 (2)

G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of planar magnetooptical waveguide," in The 3rd International Conference on Advanced Materials and Devices, Korean Physical Society, Jeju, Korea, DEV-P22, 2003

G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of anisotropic planar waveguide," in Frontiers in Optics/ Laser Science XIX Conference, Optical Society of America, Tucson, Arizona, USA, MT62, 2003

2001 (7)

K. Saitoh and M. Koshiba, "Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides," J. Lightwave Technol., vol. 19, no. 3, pp. 405-413, 2001
[CrossRef]

K. Saitoh and M. Koshiba, "Approximate scalar finite-element beam-propagation method with perfectly matched layers for anisotropic optical waveguides," J. Lightwave Technol., vol.19, no. 5, pp. 786-792, 2001
[CrossRef]

A. Ciattoni, B. Crosignani, and P. Di Porto, "Vectorial theory of propagation in uniaxially anisotropic media," J. Opt. Soc. Am. A, vol. 18, no. 7, pp. 1656-1661, 2001
[CrossRef]

G. K. Singh, V. K. Sharma, A. Kapoor, and K. N. Tripathi, "Four layer polymeric mode polarization filter for integrated optics," Optics & Laser Technology, vol. 33, pp. 455-459, 2001
[CrossRef]

A. A. Romanenko, "Features of mode"s characteristics of anisotropic planar optical waveguides in the vicinity of degeneration points," Proc. SPIE, vol. 4358, pp. 203-211, 2001
[CrossRef]

Q. Guo, Z. Shi, and W. Xu, "Modal fields of symmetric metal-clad planar uniaxial crystal waveguide," Proc. SPIE, vol. 4603, pp. 30-35, 2001
[CrossRef]

Y. Jeong and B. Lee, "Theory of electrically controllable long-period gratings built in liquid-crystal fibers", Opt. Eng., vol. 40, no. 7, pp. 1227-1233, 2001
[CrossRef]

1999 (2)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals: toward microscale lightwave circuits," J. Lightwave Technol., vol. 17, no. 11, pp. 2032-2038, 1999
[CrossRef]

Y. Tsuji, M. Koshiba, and N. Takimoto, "Finite element beam propagation method for anisotropic optical waveguides," J. Lightwave Technol., vol. 17, no. 4, pp. 723-728, 1999
[CrossRef]

1996 (4)

M. Wakaki, Y. Komachi, H. Machida, and H. Kobayashi, "Fiber-optic polarizer using birefringent crystal as a cladding," Appl. Opt., vol. 35, no. 15, pp. 2591-2594, 1996
[CrossRef]

T. A. Maldonado and T. K. Gayload, "Hybrid guided modes in biaxial planar waveguides," J. Lightwave Technol., vol. 14, no. 3, pp. 486-499, 1996
[CrossRef]

D. V. Petrov and E. A. Kolosovsky, "Radiation modes of an anisotropic optical waveguide with arbitrary refractive index profile," Opt. Commun., vol. 124, pp. 240-243, 1996
[CrossRef]

I. Hodgkinson, S. Kassam, J. Hazel, S. Cloughley, and Q. Wu, "Modal contours for biaxial thin-film waveguides," Appl. Opt., vol. 35, no. 28, pp. 5569-5572, 1996
[CrossRef]

1995 (2)

J. F. Offersgaard, "Waveguides formed by multiple layers of dielectric, semiconductor, or metallic media with optical loss and anisotropy," J. Opt. Soc. Am. A, vol. 12, no. 10, pp. 2122-2128, 1995
[CrossRef]

S. V. Polstyanko and J. Lee, "<TEX>$H_1$</TEX> (curl) tangential vector finite element method for modeling anisotropic optical fibers," J. Lightwave Technol., vol. 13, no. 11, pp. 2290-2295, 1995
[CrossRef]

1994 (3)

C. L. Xu, W. P. Huang, J. Chrostowski, and S. K. Chaudhuri, "A full-vectorial beam propagation method for anisotropic waveguides," J. Lightwave Technol., vol. 12, no. 11, pp. 1926-1931, 1994
[CrossRef]

J. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994
[CrossRef]

A. D"Orazio, M. De Sario, V. Petruzzelli, and F. Prudenzano, "Leaky mode propagation in planar multilayer birefringent waveguides: longitudinal dielectric tensor configuration," J. Lightwave Technol., vol. 12, no. 3, pp. 453-462, 1994
[CrossRef]

1993 (1)

L. Torner, J. Recolons, and J. P. Torres, "Guided-to-leaky mode transition in uniaxial optical slab waveguides," J. Lightwave Technol., vol. 11, no. 10, pp. 1592-1600, 1993
[CrossRef]

1992 (1)

G. R. Hadley, "Wide-angle beam propagation using Pade approximant operators," Opt. Lett., vol. 17, no. 20, pp. 1426-1428, 1992
[CrossRef]

1990 (1)

T. Tamir, Guided-Wave Optoelectronics, 2nd ed. (Springer-Verlag, Berlin, 1990), Chap. 2

1988 (1)

A. Knoesen, T. K. Gayload, and M. G. Moharam, "Hybrid guided modes in uniaxial dielectric planar waveguides," J. Lightwave Technol., vol. 6, no. 6, pp. 1083-1104, 1988
[CrossRef]

1986 (1)

K. Liu, W. V. Sorin, and H. J. Shaw, "Single-mode-fiber evanescent polarizer/amplitude modulator using liquid crystals," Opt. Lett., vol. 11, no. 3, pp. 180-182, 1986
[CrossRef]

1985 (1)

L. M. Walpita, "Solutions for planar optical waveguide equations by selecting zero elements in a characteristic matrix," J. Opt. Soc. Am. A, vol. 2, no. 4, pp. 595-602, 1985
[CrossRef]

1984 (1)

P. J. Lin-Chung and S. Teitler, "4<TEX>$\times$</TEX>4 matrix formalisms for optics in stratified anisotropic media," J. Opt. Soc. Am. A, vol. 1, no. 7, pp. 703-705, 1984
[CrossRef]

1983 (1)

J. A. Fleck, Jr. and M. D. Feit, "Beam propagation method in uniaxial anisotropic media," J. Opt. Soc. Am., vol. 73, no. 7, pp. 920-926, 1983
[CrossRef]

1982 (2)

L. Thylen and D. Yevick, "Beam propagation method in anisotropic media," Appl. Opt., vol. 21, no. 15, pp. 2751-2754, 1982
[CrossRef]

E. A. Kolosovsky, D. V. Petrov, A. V. Tsarev, and I. B. Yakovkin, "An exact method for analysing light propagation in anisotropic inhomogeneous optical waveguides," Opt. Commun., vol. 43, no. 1, pp. 21-25, 1982
[CrossRef]

1979 (2)

P. Yeh, "Electromagnetic propagation in birefringent layered media," J. Opt. Soc. Am., vol. 69, no. 5, pp. 742-756, 1979
[CrossRef]

D. Marcuse and I. P. Kaminow, "Modes of a symmetric slab optical waveguide in birefringent media, part II: slab with coplanar optical axis," IEEE J. Quantum Electron., vol. 15, no. 2, pp. 92-101. 1979
[CrossRef]

1978 (4)

D. Marcuse, "Modes of a symmetric slab optical waveguide in birefringent media-part I: optical axis not in plane of slab," IEEE J. Quantum Electron., vol. 14, no. 10, pp. 736-741, 1978
[CrossRef]

J. Ctyroky and M. Cada, "Guided and semileaky modes in anisotropic optical waveguides of the LiNb<TEX>$O_3$</TEX> type," Opt. Commun., vol. 27, no. 3, pp. 353-357, 1978
[CrossRef]

K. Yamanouchi, T. Kamiya, and K. Shibayama, "New leaky surface waves in anisotropic metal-diffused optical waveguides," IEEE Trans. Microwave Theory Tech., vol. 26, no. 4, pp. 298-305, 1978
[CrossRef]

S. K. Sheem, W. K. Burns, and A. F. Milton, "Leaky-mode propagation in Ti-diffused LiNb<TEX>$O_3$</TEX> and LiTa<TEX>$O_3$</TEX> waveguides," Opt. Lett., vol. 3, no. 3, pp. 76-78, 1978
[CrossRef]

1974 (4)

M. S. Kharusi, "Uniaxial and biaxial anisotropy in thin-film optical waveguides," J. Opt. Soc. Am., vol. 64, no. 1, pp. 27-35, 1974
[CrossRef]

W. K. Burns and J. Warner, "Mode dispersion in uniaxial optical waveguides," J. Opt. Soc. Am., vol. 64, no. 4, pp. 441-446, 1974
[CrossRef]

V. Ramaswamy, "Propagation in asymmetrical anisotropic film waveguides," App. Opt., vol. 13, no. 6, pp. 1363-1371, 1974
[CrossRef]

M. O. Vassell, "Structure of optical guided modes in planar multilayers of optically anisotropic materials," J. Opt. Soc. Am., vol. 64, no. 2, pp. 166-173, 1974
[CrossRef]

1973 (2)

D. P. Gia Russo and J. H. Harris, "Wave propagation in anisotropic thin-film optical waveguides," J. Opt. Soc. Am., vol. 63, no. 2, pp. 138-145, 1973
[CrossRef]

R. A. Kashnow and C. R. Stein, "Total-reflection liquid-crystal electrooptic device," App. Opt., vol. 12, no. 10, pp. 2309-2311, 1973
[CrossRef]

1972 (4)

S. Wang, M. Shar, and J. D. Crow, "Studies of the use of gyrotropic and anisotropic materials for mode conversion in thin-film optical-waveguide applications," J. Appl. Phys., vol. 43, no. 4, pp. 1861-1875, 1972
[CrossRef]

S. Yamamoto, Y. Koyamada, and T. Makimoto, "Normalmode analysis of anisotropic and gyrotropic thin-film waveguides for integrated optics", J. Appl. Phys., vol. 43, no. 12, pp. 5090-5097, 1972
[CrossRef]

T. P. Sosnowski, "Polarization mode filters for integrated optics," Opt. Commun., vol. 4, no. 6, pp. 408-412, 1972
[CrossRef]

D. W. Berreman, "Optics in stratified and anisotropic media: 4<TEX>$\times$</TEX>4-matrix formulation," J. Opt. Soc. Am., vol. 62, no. 4, pp. 502-510, 1972
[CrossRef]

1967 (1)

D. F. Nelson and J. McKenna, "Electromagnetic modes of anisotropic dielectric waveguides at p-n junctions," J. Appl. Phys., vol. 38, no. 10, pp. 4057-4074, 1967
[CrossRef]

Applied Optics (5)

R. A. Kashnow and C. R. Stein, "Total-reflection liquid-crystal electrooptic device," App. Opt., vol. 12, no. 10, pp. 2309-2311, 1973
[CrossRef]

M. Wakaki, Y. Komachi, H. Machida, and H. Kobayashi, "Fiber-optic polarizer using birefringent crystal as a cladding," Appl. Opt., vol. 35, no. 15, pp. 2591-2594, 1996
[CrossRef]

V. Ramaswamy, "Propagation in asymmetrical anisotropic film waveguides," App. Opt., vol. 13, no. 6, pp. 1363-1371, 1974
[CrossRef]

I. Hodgkinson, S. Kassam, J. Hazel, S. Cloughley, and Q. Wu, "Modal contours for biaxial thin-film waveguides," Appl. Opt., vol. 35, no. 28, pp. 5569-5572, 1996
[CrossRef]

L. Thylen and D. Yevick, "Beam propagation method in anisotropic media," Appl. Opt., vol. 21, no. 15, pp. 2751-2754, 1982
[CrossRef]

Frontiers in Optics/ Laser Science XIX Conference, Optical Society of America (1)

G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of anisotropic planar waveguide," in Frontiers in Optics/ Laser Science XIX Conference, Optical Society of America, Tucson, Arizona, USA, MT62, 2003

J. Korean Phys. Soc. (1)

G. Kweon, S. Hwang-bo, and C. Kim, "Eigenmode of magnetooptical planar waveguide," J. Korean Phys. Soc., vol. 45, no. 1, pp. 211-216, 2004

Journal of Applied Physics (3)

D. F. Nelson and J. McKenna, "Electromagnetic modes of anisotropic dielectric waveguides at p-n junctions," J. Appl. Phys., vol. 38, no. 10, pp. 4057-4074, 1967
[CrossRef]

S. Wang, M. Shar, and J. D. Crow, "Studies of the use of gyrotropic and anisotropic materials for mode conversion in thin-film optical-waveguide applications," J. Appl. Phys., vol. 43, no. 4, pp. 1861-1875, 1972
[CrossRef]

S. Yamamoto, Y. Koyamada, and T. Makimoto, "Normalmode analysis of anisotropic and gyrotropic thin-film waveguides for integrated optics", J. Appl. Phys., vol. 43, no. 12, pp. 5090-5097, 1972
[CrossRef]

Journal of Computational Physics (1)

J. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994
[CrossRef]

Journal of the Optical Society of America (7)

D. W. Berreman, "Optics in stratified and anisotropic media: 4<TEX>$\times$</TEX>4-matrix formulation," J. Opt. Soc. Am., vol. 62, no. 4, pp. 502-510, 1972
[CrossRef]

D. P. Gia Russo and J. H. Harris, "Wave propagation in anisotropic thin-film optical waveguides," J. Opt. Soc. Am., vol. 63, no. 2, pp. 138-145, 1973
[CrossRef]

M. S. Kharusi, "Uniaxial and biaxial anisotropy in thin-film optical waveguides," J. Opt. Soc. Am., vol. 64, no. 1, pp. 27-35, 1974
[CrossRef]

W. K. Burns and J. Warner, "Mode dispersion in uniaxial optical waveguides," J. Opt. Soc. Am., vol. 64, no. 4, pp. 441-446, 1974
[CrossRef]

J. A. Fleck, Jr. and M. D. Feit, "Beam propagation method in uniaxial anisotropic media," J. Opt. Soc. Am., vol. 73, no. 7, pp. 920-926, 1983
[CrossRef]

M. O. Vassell, "Structure of optical guided modes in planar multilayers of optically anisotropic materials," J. Opt. Soc. Am., vol. 64, no. 2, pp. 166-173, 1974
[CrossRef]

P. Yeh, "Electromagnetic propagation in birefringent layered media," J. Opt. Soc. Am., vol. 69, no. 5, pp. 742-756, 1979
[CrossRef]

Journal of the Optical Society of America A (4)

L. M. Walpita, "Solutions for planar optical waveguide equations by selecting zero elements in a characteristic matrix," J. Opt. Soc. Am. A, vol. 2, no. 4, pp. 595-602, 1985
[CrossRef]

J. F. Offersgaard, "Waveguides formed by multiple layers of dielectric, semiconductor, or metallic media with optical loss and anisotropy," J. Opt. Soc. Am. A, vol. 12, no. 10, pp. 2122-2128, 1995
[CrossRef]

P. J. Lin-Chung and S. Teitler, "4<TEX>$\times$</TEX>4 matrix formalisms for optics in stratified anisotropic media," J. Opt. Soc. Am. A, vol. 1, no. 7, pp. 703-705, 1984
[CrossRef]

A. Ciattoni, B. Crosignani, and P. Di Porto, "Vectorial theory of propagation in uniaxially anisotropic media," J. Opt. Soc. Am. A, vol. 18, no. 7, pp. 1656-1661, 2001
[CrossRef]

Lightwave Technology, Journal of (10)

A. Knoesen, T. K. Gayload, and M. G. Moharam, "Hybrid guided modes in uniaxial dielectric planar waveguides," J. Lightwave Technol., vol. 6, no. 6, pp. 1083-1104, 1988
[CrossRef]

A. D"Orazio, M. De Sario, V. Petruzzelli, and F. Prudenzano, "Leaky mode propagation in planar multilayer birefringent waveguides: longitudinal dielectric tensor configuration," J. Lightwave Technol., vol. 12, no. 3, pp. 453-462, 1994
[CrossRef]

T. A. Maldonado and T. K. Gayload, "Hybrid guided modes in biaxial planar waveguides," J. Lightwave Technol., vol. 14, no. 3, pp. 486-499, 1996
[CrossRef]

C. L. Xu, W. P. Huang, J. Chrostowski, and S. K. Chaudhuri, "A full-vectorial beam propagation method for anisotropic waveguides," J. Lightwave Technol., vol. 12, no. 11, pp. 1926-1931, 1994
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