Spectral methods applied to the characterization of stationary guided waves in nonlinear optical slabs

Two spectral methods for the analysis of monochromatic stationary TE-polarized waves propagating in nonlinear optical slabs are presented. Both methods are based on a Fourier series expansion but the first one is directly applied to the nonlinear wave equation while the second one makes use of a non...

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Published inProceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications (MELECON 96) Vol. 2; pp. 689 - 692 vol.2
Main Authors Wanguemert-Perez, J.G., Molina-Fernandez, I.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1996
Subjects
Convolution
Fourier transforms
Frequency domain analysis
Jacobian matrices
Nonlinear equations
Nonlinear optics
Optical films
Partial differential equations
Refractive index
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Summary:Two spectral methods for the analysis of monochromatic stationary TE-polarized waves propagating in nonlinear optical slabs are presented. Both methods are based on a Fourier series expansion but the first one is directly applied to the nonlinear wave equation while the second one makes use of a nonlinear mapping of the spatial coordinate. A suitable numerical strategy to solve the resultant system of equations is also presented, which uses the FFT to link the spatial and frequency domains and efficiently calculates the Jacobian elements. The spectral methods are applied to find the fields of an optical slab with a nonlinear Kerr type substrate and their performance is compared.
ISBN:0780331095
9780780331099
DOI:10.1109/MELCON.1996.551312