A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation

作者：

Highlights：

• Fractional generalization of Helmholtz equation.

• Fractional differential equations with fractional Laplacian.

• Factorization of the fundamental solution for fractional Helmholtz equation.

• Multipole expansion for fractional Helmholtz equation.

• Multipole method for fractional Helmholtz equation.

• Fractional generalization for a mathematical model of electromagnetic waves propagation in an inhomogeneous medium.

摘要

•Fractional generalization of Helmholtz equation.•Fractional differential equations with fractional Laplacian.•Factorization of the fundamental solution for fractional Helmholtz equation.•Multipole expansion for fractional Helmholtz equation.•Multipole method for fractional Helmholtz equation.•Fractional generalization for a mathematical model of electromagnetic waves propagation in an inhomogeneous medium.

论文关键词：Fractional Laplacian,Fractional Helmholtz equation,Multipole expansion,Multipole method,Plane polarized electromagnetic wave propagation

论文评审过程：Received 31 May 2021, Revised 4 September 2021, Accepted 3 October 2021, Available online 25 October 2021, Version of Record 25 October 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126728