Mathematical-Physics of propagating modes in planar waveguides

Authors

  • J.E. Gómez-Correa Cátedras Conacyt-Centro de Investigación Científica y de Educación Superior de Ensenada, Baja California, Unidad Monterrey, PIIT Apodaca, NL 66629, Mexico.
  • S.E. Balderas-Mata Universidad de Guadalajara, Departamento de Electrónica, 44840, Guadalajara, Jalisco, Mexico.
  • A. Garza-Rivera Instituto Nacional de Astrofisica, Optica y Electronica, Coordinacion de Optica, Tonantzintla Puebla, 72840, Mexico.
  • A. Jaimes-Nájera Instituto Nacional de Astrofísica Óptica y Electrónica
  • J. P. Trevino Instituto Tecnologico y de Estudios Superiores de Monterrey, Departamento de Bioingenierıa, Puebla, Puebla, 72453, Mexico.
  • V. Coello Centro de Investigacion Cientıfica y de Educacion Superior de Ensenada, Unidad Monterrey, PIIT Apodaca, NL 66629, Mexico.
  • and S. Chávez-Cerda Science and Technology Research Institute, School of Physics Astronomy and Mathematics, University of Hertfordshire, Hatfield, Herts., AL10 9AB, UK.

DOI:

https://doi.org/10.31349/RevMexFisE.65.218

Keywords:

Keywords, Waveguides, odd modes, wave propagation.

Abstract

In this paper we present a detailed physical analysis of the formation of the propagation transverse modes in planar dielectric waveguides using a mathematical-physics approach. We demonstrate physically that, at the wavelength scale, the pure stationary mode inside planar waveguide is described by the cosine function. Meanwhile, the sine function yields a quasi-stationary periodic mode.

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Published

2019-07-01

How to Cite

[1]
J. Gómez-Correa, “Mathematical-Physics of propagating modes in planar waveguides”, Rev. Mex. Fis. E, vol. 65, no. 2 Jul-Dec, pp. 218–222, Jul. 2019.

Issue

Vol. 65 No. 2 Jul-Dec (2019): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2019 Jesús Gómez-Correa, Sandra Balderas-Mata, Anel Garza-Rivera, Alfonso Jaimes-Nájera, Juan Pablo Trevino, Víctor Coello, Sabino Chávez-Cerda

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.