A new method for calculating electromagnetic scattering from an arbitrarily shaped, inhomogeneous, dielectric object is developed. The method is based on an invariant imbedding procedure for computing the T matrix that was originally developed to solve quantum mechanical scattering problems. The final outcome of this approach is a two-term recurrence relation which can be solved numerically for the T matrix. The limiting form of this recurrence relation is a first-order nonlinear differential equation that is identical in form to the quantum mechanical Calogero equation. The results of several test calculations are also presented.
© 1988 Optical Society of America
Original Manuscript: April 19, 1988
Published: December 1, 1988
B. R. Johnson, "Invariant imbedding T matrix approach to electromagnetic scattering," Appl. Opt. 27, 4861-4873 (1988)