Variable transformed series expansion approach for the analysis of nonlinear guided waves in planar dielectric waveguides

Journal of Lightwave Technology

Volumn 16, Issue 7, 1998, Pages 1354-1363

  Molina Fernandez I ^a,b   Wanguemert Perez J G ^a,b  

^a UNIVERSITY OF MÁLAGA   (Spain)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Dielectric waveguides; Fourier series; Nonlinear optics

Indexed keywords

CHEBYSHEV APPROXIMATION; DIELECTRIC WAVEGUIDES; FOURIER OPTICS; GUIDED ELECTROMAGNETIC WAVE PROPAGATION; NONLINEAR OPTICS; POLYNOMIALS;

VARIABLE TRANSFORMED SERIES EXPANSION;

OPTICAL WAVEGUIDES;

EID: 0032121705     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/50.701417     Document Type: Article

References (11)

1. S. Chelkowski and J. Chrostowski, "Scaling rules for slab waveguides with nonlinear substrate," Appl. Opt., vol. 16, no. 17, pp. 3681-3686, Sept. 1987.
2. J. P. Torres and L. Torner, "Diagrammatic analysis of nonlinear planar waveguides," J. Opt. Soc. Amer. B, vol. 11, no. 1, pp. 45-52, Jan. 1994.
3. X. H. Wang and G. K. Cambrell, "Vectorial simulation and power-parameter characterization of nonlinear planar optical waveguides," J. Opt. Soc. Amer. B, vol. 12, no. 2, pp. 265-274, Feb. 1995.
4. K. S. Chiang, "Review of numerical and approximate methods for the modal analysis of general optical dielectric waveguides," Opt. Quantum Electron., vol. 26, pp. 113-134, Mar. 1994.
5. S. J. Hewlett and F. Ladouceur, "Fourier decomposition method applied to mapped infinite domains: Scalar analysis of dielectric waveguides down to modal cutoff," J. Lightwave Technol., vol. 13, pp. 375-383, Mar. 1995.
6. A. Weisshar, J. Li, R. L. Gallawa, and I. C. Goyal, "Vector and quasivector solutions for optical waveguides modes using efficient Galerkin's method with Hermite-Gauss basis functions," J. Lightwave Technol., vol. 13, pp. 1795-1800, Aug. 1995.
7. J. G. Wangüemert-Pérez and I. Molina-Fernández, "Spectral method applied to the characterization of stationary guided waves in nonlinear optical slabs," in Proc. 8th Mediterranean Electrotechnical Conf. (MELECON'96), Bari, Italy, May 13-16, 1996, vol. II, pp. 689-692.
8. D. Mihalache and D. Mazilu, "Propagation phenomena of nonlinear guided waves in graded index planar waveguides," Inst. Elect. Eng. Proc. J., Dec. 1991, vol. 138, no. 6, pp. 365-372.
9. H. Ghafouri-Shiraz, P. Shum, and M. Nagata, "A novel method for analysis of soliton propagation in optical fibers," J. Quantum Electron., vol. 31, pp. 190-200, Jan. 1995.
10. N. Ramanujan, L. Li, J. J. Burke, and M. A. Gribbons, "Determination of the truncation order and numerical window for modeling general dielectric waveguides by the Fourier method," J. Lightwave Technol., vol. 14, pp. 500-507, Mar. 1996.
11. T. J. Rivlin, Chebyshev Polynomials. New-York: Wiley, 1990, pp. 1-10.