Accession Number:

ADA954864

Title:

Numerical Calculation of Light Propagation

Descriptive Note:

Project rept.

Corporate Author:

MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s):

Report Date:

1971-07-12

Pagination or Media Count:

34.0

Abstract:

An algorithm is presented for the numerical integration of the scalar wave equation is the Fresel approximation in inhomogeneous media. The wave equation is reduced by a variable transform to an equation describing the deviation from a Gaussian reference beam. Large phase shifts are handled analytically in combination with the longitudinal discretization using the Crank-Nicolson Scheme, This permits large step sizes. The discretization in the two transverse directions is performed with the Galerkin method, with spline functions as basis. An alternating-direction scheme is used in inverting the implicit finite-difference equations that result. An interaction of the longitudinal and transverse discretization is described. A method of handling a non-linear index of refraction is described, and the algorithm is applied to the thermal lens effect.

Subject Categories:

  • Optics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE