Abstract

An analytical study of electromagnetic wave scattering using Lippmann-Schwinger equation is presented in this work. Lippomann-Schwinger equation was derived first from hamiltonian that involves non-interacting and interacting terms. The solution for non-interacting and out going scattered waves was obtained using a boundary conditions specified on the green’s function  which specifically handles the singularity that facilitates expressing Lippman-Schwinger equation correctly. The scattering amplitude of the wave was obtained analytically.

Key words: Lippmann-Schwinger equation, eigenstates, hamiltonian, green’s function.