Indonesian Journal of Mathematics and Applications
Vol. 1 No. 1 (2023): Indonesian Journal of Mathematics and Applications

Finite Difference Scheme for Nonlinear Finite Grating without and with Defect

Purnomo, Reymond (Unknown)

Article Info

Publish Date
20 Mar 2023

Abstract

We present a simple numerical scheme based on finite difference method (FDM) with different boundary treatments to study the nonlinear optical response of finite one-dimensional grating with Kerr medium. For linear and nonlinear case, we use the second order numerical scheme for interior with different treatments of boundary conditions. The resulting of nonlinear system of equations is solved using Newton method with continuation method. To illustrate this method, we consider a periodic medium with and without defect. As the result, this method is able to show the bandgap and optical bistability phenomena for both mediums.

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Journal Info
Indonesian Journal of Mathematics and Applications
Website

Abbrev

ijma

Publisher

Universitas Brawijaya

Subject

Computer Science & IT Education Mathematics Other

Description

The Indonesian Journal of Mathematics and Applications is a journal managed by Universitas Brawijaya, Malang, Indonesia, that is published twice a year (in March and September). IJMA is devoted to research articles of the highest quality in all areas of mathematics and its applications, statistics, ...