"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 3, 2019

contents of issue      DOI  10.30898/1684-1719.2019.3.11     full text in Russian (pdf)  

UDC 535.13: 535.326: 535.36: 621.37

A model of a multilayer smoothly-irregular integrated-optical waveguide in the zero vector approximation: theory and numerical analysis


A. A. Egorov 1, K. P. Lovetskii 2, A. L. Sevastianov 2, L. A. Sevastianov 2

1 A.M. Prokhorov General Physics Institute, Russian Academy of Sciences, Vavilov Street 38, Moscow, 119991, Russia

2 Peoples' Friendship University of Russia, Miklukho-Maklaya str. 6, Moscow 117198, Russia


The paper is received on March 20, 2019


Abstract. In this paper, we analyzed waveguide modes and their characteristics in the framework of the adiabatic mode model and the modified averaging method. The obtained results are compared with the results of other authors in the framework of the matrix model of comparison waveguides, which is obtained from the zero approximation of the adiabatic mode model by replacing tangential boundary conditions on non-horizontal sections of the waveguide layers sections with horizontal projections of the boundary conditions (neglecting the vertical contributions to the exact boundary conditions). Accounting for real boundary conditions is the basis of our proposed new method for calculating the dispersion ratios and fields of a smoothly irregular integrated optical waveguide. A brief description of the algorithm for calculating the dispersion dependence in the matrix model of reference waveguides is given. It is shown that the thickness profile of the additional waveguide layer of a thin-film generalized Luneberg waveguide lens obtained by the comparison waveguide method exactly coincides with the thickness profile of the additional waveguide layer of the thin-film waveguide Luneberg lens obtained by Southwell. An algorithm for calculating the vertical distribution of fields in a matrix model of reference waveguides is described. In addition, an algorithm for calculating the vertical distribution of the electromagnetic field of guided modes in the zero and first approximations of the adiabatic mode method is described. The dispersion dependences of the smooth-irregular four-layer integrated-optical waveguide, that is, a thin-film generalized Luneberg waveguide lens, are calculated. Synthesized thin-film generalized Luneberg waveguide lens. It is shown that there is practically no discrepancy between our data in the matrix model of the comparison waveguide method and the Southwell data. Graphs of the vertical distribution of fields in the zero vector approximation to the thin-film generalized Luneberg waveguide lens are presented.

Key words: electrodynamics, waveguide, dispersion relation, modes, waveguide Luneburg lens, computer simulation, numerical modeling.


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For citation:

A. A. Egorov, K. P. Lovetskii, A. L. Sevastianov, L. A. Sevastianov. A model of a multilayer smoothly-irregular integrated-optical waveguide in the zero vector approximation: theory and numerical analysis. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 3. Available at http://jre.cplire.ru/jre/mar19/11/text.pdf

DOI  10.30898/1684-1719.2019.3.11