Characteristic basis function method based on mixed discretization for analyzing scattering from electrically large inhomogeneous objects

Abstract

The characteristic basis function method (CBFM) based on the mixed discretization (MD) is firstly proposed to analyze the electromagnetic scattering from electrically large inhomogeneous objects. The discontinuous Galerkin volume integral equation (DGVIE) method which employs nonconformal discretization permits to independently discretize the various component regions of the inhomogeneous object depending on its local shape or dielectric permittivity. Moreover, by the means of the CBFM, the low-level basis functions employed in the DGVIE method are converted into high-level basis functions, dramatically reducing the number of basis functions for modeling. In addition, the conformal discretization which is superior in dealing with homogenous regions is mixed with the nonconformal discretization to further cut down the number of the basis functions. Numerical results show that the CBFM based on mixed discretization (MD-CBFM) generates much less unknowns in contrast to several conventional methods. Several composite inhomogeneous examples are given to demonstrate the accuracy and efficiency of the proposed method.

KEYWORDS:

• Characteristic basis function method
• direct fast solution
• discontinuous Galerkin volume integral equation method
• mixed discretization

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by National Natural Science Foundation of China under grant 62071004, and in part by the Support Project of Universities for Young Talents under grant gxyq2021220, and in part by the Doctoral Research Initiation Project of Suzhou University under grant 2020BS005.