# Accession Number:

## AD0602236

# Title:

## A PLANE WAVE EXPANSION THEOREM FOR CYLINDRICALLY RADIATED FIELDS.

# Descriptive Note:

## Research rept.,

# Corporate Author:

## NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

# Personal Author(s):

# Report Date:

## 1964-05-01

# Pagination or Media Count:

## 20.0

# Abstract:

An asymptotic expansion for two-dimensional outwardly radiating fields is developed from an integral representation of these fields by means of a saddle point integration. The expansion is given in terms of inverse powers of the distance from a point in a fixed region A to a point in a circular neighborhood at a large distance from A. The coefficients are expressed in terms of plane waves and linear combinations of derivatives of plane waves with respect to angle of incidence. The theorem may be employed in scattering problems in reducing scattering of arbitary two-dimensional fields by arbitrary cylinders to scattering of plane waves by the arbitrary cylinders. Author