Qubit Lattice Algorithm Simulations of Maxwell’s Equations for Scattering from Anisotropic Dielectric Objects
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Author(s)
Vahala, George
Soe, Min
Vahala, Linda
Ram, Abhay K.
Koukoutsis, Efstratios
Hizanidis, Kyriakos
Date Issued
January 2023
Journal
Computers & Fluids
Publisher
Elsevier
Abstract
A Dyson map explicitly determines the appropriate basis of electromagnetic fields which yields a unitary representation of the Maxwell equations in an inhomogeneous medium. A qubit lattice algorithm (QLA) is then developed perturbatively to solve this representation of Maxwell equations. QLA consists of an interleaved unitary sequence of collision operators (that entangle on lattice-site qubits) and streaming operators (that move this entanglement throughout the lattice). External potential operators are introduced to handle gradients in the refractive indices, and these operators are typically non-unitary, but sparse matrices. By also interleaving the external potential operators with the unitary collide-stream operators one achieves a QLA which conserves energy to high accuracy. Some two dimensional simulations results are presented for the scattering of a one-dimensional (1D) pulse off a localized anisotropic dielectric object.
Description
Submitted for publication in Computers & Fluids
MIT Department
Massachusetts Institute of Technology. Plasma Science and Fusion Center
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.compfluid.2023.106039
