Explicit analysis of anisotropic planar waveguides by the analytical transfer-matrix method

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 21, Issue 11, 2004, Pages 2196-2204

  Liao, Weijun ^a   Chen, Xianfeng ^a   Chen, Yuping ^a   Xia, Yuxing ^a   Chen, Yingli ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE ATTENUATION; LIGHT POLARIZATION; LIGHT PROPAGATION; MATRIX ALGEBRA; NUMERICAL METHODS;

ANISOTROPIC PLANAR WAVEGUIDES; EQUIVALENT ATTENUATION VECTOR; TRANSFER MATRIX METHOD; TRANSVERSE ELECTROMAGNETIC MODE;

OPTICAL WAVEGUIDES;

EID: 8744291925     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.21.002196     Document Type: Article

References (20)

1. D. P. Gia Russo and J. H. Harris, "Wave propagation in anisotropic thin film optical waveguides," J. Opt. Soc. Am. 63, 138-145 (1973).
2. J. Ctyroky and M. Cada, "Generalized WKB method for the analysis of light propagation in inhomogeneous anisotropic optical waveguides," IEEE J. Quantum Electron. QE-17, 1064-1070 (1981).
3. P. Yeh, "Optics of anisotropic layered media: a new 4 × 4 matrix algebra," Surf. Sci. 96, 41-53 (1980).
4. S. Visnovsky, "Magnetic-optic effects in ultrathin structures at longitudinal and polar magnetizations," Czech. J. Phys. 48, 1083-1104 (1998).
5. E. A. Kolosovsky, D. V. Petrov, A. V. Tsarev, and I. B. Yakovkin, "An exact method for analyzing light propagation in anisotropic inhomogeneous optical waveguides," Opt. Commun. 43, 21-25 (1982).
6. L. M. Walpita, "Solutions for planar optical waveguide equations by selecting zero elements in a characteristic matrix," J. Opt. Soc. Am. A 2, 595-602 (1985).
7. L. Tsang and S. L. Chuang, "Improved coupled-mode theory for reciprocal anisotropic waveguide," J. Lightwave Technol. 6, 304-311 (1988).
8. G. Tartarini, P. Bassi, S. F. Chen, M. P. De Micheli, and D. B. Ostrowsky, "Calculation of hybrid modes in uniaxial planar optical waveguides: application to proton exchanged lithium niobate waveguides," Opt. Commun. 101, 424-431 (1993).
9. L. Nuno, J. V. Balbastre, and H. Castane, "Analysis of general lossy inhomogeneous and anisotropic waveguides by the finite-element method (FEM) using edge elements," IEEE Trans. Microwave Theory Tech. 45, 446-449 (1997).
10. S. Selleri, L. Vincetti, A. Cucinotta, and M. Zoboli, "Complex FEM modal solver of optical waveguides with PML boundary conditions," Opt. Quantum Electron. 33, 359-371 (2001).
11. I. Bardi and O. Biro, "An efficient finite-element formulation without spurious modes for anisotropic waveguides," IEEE Trans. Microwave Theory Tech. 39, 1133-1139 (1991).
12. M. Koshiba, K. Hayata, and M. Suzuki, "Finite-element formulation in terms of the electric-field vector for electromagnetic waveguide problems," IEEE Trans. Microwave Theory Tech. MTT-33, 900-905 (1985).
13. V. Schulz, "Adjoint high-order vectorial finite elements for nonsymmetric transversally anisotropic waveguides," IEEE Trans. Microwave Theory Tech. 51, 1086-1095 (2003).
14. S. G. Garcia, T. M. Hung-Bao, R. G. Martin, and B. G. Olmedo, "On the application of finite methods in time domain to anisotropic dielectric waveguides," IEEE Trans. Microwave Theory Tech. 44, 2195-2206 (1996).
15. P. A. Koukoutsaki, I. G. Tigelis, and A. B. Manenkov, "Guided-mode analysis by the Lanczos-Fourier expansion," J. Opt. Soc. Am. A 19, 2293-2300 (2002).
16. H. P. Uranus, H. J. W. M. Hoekstra, and E. Vangroesen, "Finite difference scheme for planar waveguides with arbitrary index profiles and its implementation for anisotropic waveguides with a diagonal permittivity tensor," Opt. Quantum Electron. 35, 407-427 (2003).
17. S. Gaal, "Surface integral method to determine guided modes in uniaxially anisotropic embedded waveguides," Opt. Quantum Electron. 31, 763-780 (1999).
18. L. Zhan and Z. Cao, "Exact dispersion equation of a graded refractive-index optical waveguide based on the equivalent attenuated vector," J. Opt. Soc. Am. A 15, 713-716 (1998).
19. Z. Cao, Y. Jiang, Q. S. Shen, X. M. Dou, and Y. L. Chen, "Exact analytical method for planar optical waveguides with arbitrary index profile," J. Opt. Soc. Am. A 16, 2209-2212 (1999).
20. Z. Cao, Q. Liu, Q. S. Shen, X. M. Dou, and Y. L. Chen, "Quantization scheme for arbitrary one-dimensional potential wells," Phys. Rev. A 63, 054103 (2001).