ScholarLens Back to search
2023•Unpublished venueRequires access

Integral Equations and the Moment Method

Constantine A. Balanis

Open publisher page 1 citations

Abstract

Integral equation (IE) technique casts the solution for the induced current in the form of an integral equation where the unknown induced current density is part of the integrand. Numerical techniques, such as the moment method, can then be used to solve for the current density. The objective of the IE method for scattering is to cast the solution for the unknown current density, which is induced on the surface of the scatterer, in the form of an integral equation where the unknown induced current density is part of the integrand. The chapter considers an integral equation approach to solve for the electric charge distribution, once the electric potential is specified. There are many forms of integral equations. Two of the most popular forms for time harmonic electromagnetics are the electric field integral equation and the magnetic field integral equation.

About this research paper

What this paper is about

Integral equation (IE) technique casts the solution for the induced current in the form of an integral equation where the unknown induced current density is part of the integrand. Numerical techniques, such as the moment method, can then be used to solve for the current density. The objective of the IE method for scattering is to cast the solution for the unknown current density, which is induced on the surface of the scatterer, in the form of an integral equation where the unknown induced current density is part of the integrand. The chapter considers an integral equation approach to solve for the electric charge distribution, once the electric potential is specified. There are many forms of integral equations. Two of the most popular forms for time harmonic electromagnetics are the electric field integral equation and the magnetic field integral equation.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Integral equation (IE) technique casts the solution for the induced current in the form of an integral equation where the unknown induced current density is part of the integrand. Numerical techniques, such as the moment method, can then be used to solve for the current density. The objective of the IE method for scattering is to cast the solution for the unknown current density, which is induced on the surface of the scatterer, in the form of an integral equation where the unknown induced current density is part of the integrand. The chapter considers an integral equation approach to solve for the electric charge distribution, once the electric potential is specified. There are many forms of integral equations. Two of the most popular forms for time harmonic electromagnetics are the electric field integral equation and the magnetic field integral equation.

Key concepts: Electric-field integral equation, Integral equation, Summation equation, Mathematics, Mathematical analysis, Method of moments (probability theory), Moment (physics), Integro-differential equation

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Integral Equations and the Moment Method — Research Paper | ScholarLens