Optical eigenmodes in plane arrays of cylindrical waveguides. Analysis by means of multiple Mie scattering formalism and phenomenological model

TL;DR

This paper introduces a new method using multiple Mie scattering formalism to analyze optical eigenmodes in plane arrays of cylindrical waveguides, comparing it with a phenomenological model and deriving key parameters.

Contribution

A novel MMSF-based approach for calculating isofrequency curves and deriving phenomenological model parameters in cylindrical waveguide arrays.

Findings

MMSF method effectively calculates isofrequency curves.

Derived formulas for propagation and coupling constants.

Comparison shows agreement between MMSF and phenomenological model.

Abstract

We consider a plane periodical array of parallel cylindrical waveguides with evanescent coupling between them. A new method for calculating the isofrequency curves based on the multiple Mie scattering formalism (MMSF) is developed. This method is compared with the phenomenological model. The derivation of the phenomenological model by means of the MMSF is performed. The formulae for calculation of parameters of the phenomenological model are derived, such as propagation constants and coupling constants.