Accession Number : ADP008191

Title :   Lanczos Propagation and Reflection Methods,

Corporate Author : QUEEN'S UNIV KINGSTON (ONTARIO) DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Yevick, David ; Hermansson, Bjorn ; Bardyszewski, Witold ; Glasner, Moses

Report Date : APR 1992

Pagination or Media Count : 2

Abstract : While wide-angle algorithms have recently been developed to describe the propagation of highly-divergent beams, only the first non-trivial wide angle procedure, which is limited to beam half-widths below about 35 - 40 deg. can be efficiently implemented with standard numerical procedures. To circumvent this limitation, Lanczos recursion, may be applied to project the propagation operator at a given cross-section of the refractive index profile onto a restricted subspace comprised of a limited number of Lanczos functions. The resulting matrix is diagonalized in this subspace and the representation of the electric field in the Lanczos basis is propagated through multiplication by the suitably transformed eigenvalues.

Descriptors :   *REFRACTIVE INDEX, *LIGHT TRANSMISSION, ALGORITHMS, CROSS SECTIONS, EIGENVALUES, ELECTRIC FIELDS, FUNCTIONS, LIMITATIONS, MULTIPLICATION, PROFILES, STANDARDS, WIDE ANGLES, CANADA, FOURIER ANALYSIS.

Subject Categories : Optics

Distribution Statement : APPROVED FOR PUBLIC RELEASE