Document Type

Article

Publication Date

2023

DOI

10.4208/cicp.OA-2022-0034

Publication Title

Communications in Computational Physics

Volume

33

Issue

1

Pages

22-38

Abstract

The effect of the thickness of the dielectric boundary layer that connects a material of refractive index n1 to another of index n2is considered for the propagation of an electromagnetic pulse. A qubit lattice algorithm (QLA), which consists of a specially chosen non-commuting sequence of collision and streaming operators acting on a basis set of qubits, is theoretically determined that recovers the Maxwell equations to second-order in a small parameter ϵ. For very thin boundary layer the scattering properties of the pulse mimics that found from the Fresnel jump conditions for a plane wave - except that the transmission to incident amplitudes are augmented by a factor of √n2/n1. As the boundary layer becomes thicker one finds deviations away from the Fresnel conditions and eventually one approaches the expected WKB limit. However there is found a small but unusual dip in part of the transmitted pulse that persists in time. Computationally, the QLA simulations still recover the solutions to Maxwell equations even when this parameter ϵ → 1. On examining the pulse propagation in medium n1, ϵ corresponds to the dimensionless speed of the pulse (in lattice units).

Rights

© Global Science Press.

First published in Communications in Computational Physics in Volume 33, Number 1, 2023, published by Global Science Press.

"This work may be reproduced by any means for educational and scientific purposes by the Authors or by others without fee or permission with the exception of reproduction by services that collect fees for delivery of documents. In any reproduction, the original publication by the Publisher must be credited in the following manner: "First published in [Publication] in [volume and number, or year], published by Global Science Press," and the copyright notice in proper form must be placed on all copies. Any publication or other form of reproduction not meeting these requirements will be deemed unauthorized."

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Original Publication Citation

Vahala, G., Vahala, L., null, A. R., & Soe, M. (2023, 2023-06-01). The effect of the width of the incident pulse to the dielectric transition layer in the scattering of an electromagnetic pulse — a qubit lattice algorithm simulation. Communications in Computational Physics, 33(1), 22-38. https://doi.org/10.4208/cicp.oa-2022-0034

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