Modal analysis of homogeneous optical waveguides by the boundary integral formulation and the Nyström method

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

Volumn 15, Issue 1, 1998, Pages 92-100

  Wang, Lei ^a   Allen Cox, J ^b   Friedman, Avner ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

^b HONEYWELL TECHNOLOGY CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; LIGHT PROPAGATION; MODAL ANALYSIS;

FREDHOLM INTEGRAL EQUATIONS; HELMHOLTZ EQUATIONS; NYSTROM METHOD;

OPTICAL WAVEGUIDES;

EID: 0031648465     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.000092     Document Type: Article

References (14)

1. D. Colton and R. Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1983).
2. P. K. Banerjee and R. Butterfield, Boundary Element Methods in Engineering Science (McGraw-Hill, London, 1981).
3. C. C. Su, “A surface integral equations method for homogeneous optical fibers and coupled cross sections,” IEEE Trans. Microwave Theory Tech. MTT-33, 1114–1119 (1985).
4. E. Yamashita, ed., Analysis Methods for Electromagnetic Wave Problems (Artech, Boston, Mass., 1990).
5. J. Charles, H. Baudrand, and D. Bajon, “A full-wave analysis of an arbitrarily shaped dielectric waveguides using Green’s scalar identity,” IEEE Trans. Microwave Theory Tech. 39, 1029–1034 (1991).
6. R. Kress, Linear Integral Equations (Springer-Verlag, New York, 1989).
7. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory (Springer-Verlag, New York, 1992).
8. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, New York, 1983).
9. O. D. Kellog, Foundation of Potential Theory (Dover, New York, 1953).
10. A. H. Juffer, E. F. F. Botta, B. A. M. van Keulen, A. van der Ploeg, and H. J. C. Berendsen, “The electric potential of a macromolecule in a solvent: a fundamental approach,” J.Comput. Phys. 97, 144–171 (1991).
11. G. Chen and J. Zhou, Boundary Elements Methods (Academic, San Diego, Calif., 1992).
12. J. E. Goell, “A circular-harmonic computer analysis of rectangular dielectric waveguide,” Bell Syst. Tech. J., 2133–2160 (1969).
13. A. Kumar, K. Thyagarajan, and A. K. Ghatak, “Analysis of rectangular-core dielectric waveguides: an accurate perturbation method,” Opt. Lett. 8, 63–65 (1988).
14. C. J. Smartt, T. M. Benson, and P. C. Kendall, “Exact transcendental equation for scalar modes of rectangular dielectric waveguides,” Opt. Quantum Electron. 26, 641–644 (1994).