A numerically stable analysis method for complex multilayer waveguides based on modified transfer-matrix equations

Journal of Lightwave Technology

Volumn 27, Issue 20, 2009, Pages 4407-4414

  Kwon, Min Suk ^a  

^a Sejong University   (South Korea)

Author keywords

Characteristic equations; Iteration method; Multilayer waveguides; Transfer matrix equations (TMEs)

Indexed keywords

ANALYSIS METHOD; CHARACTERISTIC EQUATION; CHARACTERISTIC EQUATIONS; CONVENTIONAL ANALYSIS METHOD; EXPLICIT FORM; FIELD PROFILE; IMAGINARY PARTS; ITERATION METHOD; MODIFIED TRANSFER MATRIX; MULTILAYER WAVEGUIDES; PRESENTED EXAMPLES; RECURSIVE MATRIX; ROOTFINDING; STABLE ANALYSIS; THICK LAYERS; TRANSFER MATRIXES; TRANSFER-MATRIX EQUATIONS (TMES); WAVEGUIDE MODE;

ITERATIVE METHODS; MULTILAYERS; REFRACTIVE INDEX; WAVEGUIDES;

TRANSFER MATRIX METHOD;

EID: 70049101323     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2009.2024089     Document Type: Article

References (13)

1. M.-S. Kwon and S.-Y. Shin, "Simple and fast numerical analysis of multilayer waveguide modes," Opt. Commun., vol. 233, pp. 119-126, 2004.
2. K. H. Schlereth and M. Tacke, "The complex propagation constant of multilayer waveguides: An algorithm for a personal computer," IEEE J. Quantum Electron., vol. 26, no. 4, pp. 626-630, Apr. 1990.
3. C. A. Hulse and A. Knoesen, "Iterative calculation of complex propagation constants of modes in multilayer planar waveguides," IEEE J. Quantum Electron., vol. 28, no. 12, pp. 2682-2684, Dec. 1992.
4. E. Anemogiannis and E. N. Glytsis, "Multilayer waveguides: Efficient numerical analysis of general structures," IEEE J. Lightw. Technol. vol. 10, no. 10, pp. 1344-1351, Oct. 1992.
5. S. B. Gaal, H. J. W. M. Hoekstra, and P. V. Lambeck, "Determining PML modes in 2-D stratified media," IEEE J. Lightw. Technol., vol. 21, no. 1, pp. 293-298, Jan. 2003.
6. W.-J. Hsueh and J.-C. Lin, "Stable and accurate method for modal analysis of multilayer waveguides using a graph approach," J. Opt. Soc. Amer. A, vol. 24, no. 3, pp. 825-830, 2007.
7. T. D. Visser, H. Blok, and D. Lenstra, "Modal analysis of a planar waveguide with gain and losses," IEEE J. Quantum Electron., vol. 31, no. 10, pp. 1803-1810, Oct. 1995.
8. K. Mehrany and B. Rashidian, "Polynomial expansion for extraction of electromagnetic eigenmodes in layered structures," J. Opt. Soc. Amer. B, vol. 20, no. 12, pp. 2434-2441, 2003.
9. W. C. Chew, J. M. Jin, and E. Michlelssen, "Complex coordinate stretching as a generalized absorbing boundary condition," Microw. Opt. Technol. Lett., vol. 15, no. 6, pp. 363-369, 1997.
10. P. Bienstman, H. Derudder, R. Baets, F. Olyslager, and D. Zutter, "Analysis of cylindrical waveguide discontinuities using vectorial eigenmodes and perfectly matched layers," IEEE Trans. Microw. Theory Tech., vol. 49, no. 2, pp. 349-354, Feb. 2001.
11. Y.-B. Cho, B.-K. Yang, J.-H. Lee, J.-B. Yoon, and S.-Y. Shin, "Silicon photonic wire filter using asymmetric sidewall long-period waveguide grating in a two-mode waveguide," IEEE Photon. Technol. Lett., vol. 20, no. 7, pp. 520-522, Jul. 2008.
12. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flanery, Numerical Recipes in C. Cambridge, U.K.: Cambridge Univ. Press, 1994, ch. 9.
13. J. B. Conway, Complex Variable, 2nd ed. New York: Springer-Verlag, 1978, ch. 5.