Analysis of three-dimensional dielectric structures using an orthonormal-basis method: thin film photonic crystal waveguides

Juan A. Monsoriu; Enrique Silvestre-Mora; Albert Ferrando; Miguel V. Andres; Pedro Andres

doi:10.1117/12.437207

14 August 2001 Analysis of three-dimensional dielectric structures using an orthonormal-basis method: thin film photonic crystal waveguides

Juan A. Monsoriu, Enrique Silvestre-Mora, Albert Ferrando, Miguel V. Andres, Pedro Andres

Author Affiliations +

Proceedings Volume 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications; (2001) https://doi.org/10.1117/12.437207
Event: IV Iberoamerican Meeting of Optics and the VII Latin American Meeting of Optics, Lasers and Their Applications, 2001, Tandil, Argentina

Abstract

This paper gives the theoretical basis for the development of a novel modal method to describe 3D dielectric structure modes. To this end, the vector wave equation, which determines the magnetic field, is written in terms of a linear operator, whose eigenvectors satisfy orthonormality relation. The key of our method is to obtain a matrix representation of the wave equation in a basis that is defined by the modes of an auxiliary system. Our proposed technique can be applied to systems with arbitrary 3D real or complex refractive-index distributions. In this work we have focused on thin-film photonic crystal waveguides with an asymmetrical core.

Citation Download Citation

Juan A. Monsoriu, Enrique Silvestre-Mora, Albert Ferrando, Miguel V. Andres, and Pedro Andres "Analysis of three-dimensional dielectric structures using an orthonormal-basis method: thin film photonic crystal waveguides", Proc. SPIE 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, (14 August 2001); https://doi.org/10.1117/12.437207

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