首页|A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation
A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation
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NSTL
Elsevier
A fractional Helmholtz equation with the fractional Laplacian is investigated. Fundamental solutions of this equation and their factorized representations in terms of H-functions are constructed using Fourier and Mellin integral transforms. Multipole expansion for integral representation of the fractional Helmholtz equation's solution is derived. A technique for evaluating H-functions from the multipole expansion is proposed. A modification of the multipole method for solving considered equation is developed. Numerical results demonstrating high efficiency of the proposed approach are presented. A fractional generalization of the mathematical model for a plane polarized electromagnetic wave propagation in the inhomogeneous medium, leading to a fractional Helmholtz equation with the fractional Laplacian, is derived and investigated using the proposed algorithm. (C) 2021 Elsevier Inc. All rights reserved.
NSTL
Elsevier
