# Accession Number:

## AD0269842

# Title:

## ON FINDING ASYMPTOTES OF SOLUTIONS OF SHORTWAVE DIFFRACTION PROBLEMS

# Descriptive Note:

# Corporate Author:

## FRIEDMAN (MORRIS D) WEST NEWTON MASS

# Personal Author(s):

# Report Date:

## 1961-08-01

# Pagination or Media Count:

## 1.0

# Abstract:

Let a source be placed at the point a which completely illuminates the surface S this means that none of the rays leaving a is tangent to the surface S and which we shall assume has no edges and goes to infinity. The problem is to find asymptotes of the diaphragmed field for shortwaves in the case of a perfectly reflecting surface S. We shall assume the surface S to be analytic in the neighborhood of each of its points. This restriction can be replaced by the requirement of differentiability to a sufficiently high order if it is necessary to find only a finite number of terms of the asymptotic series. We shall start with an analysis of the scalar acoustic problem and then we shall transfer the results obtained to the case of the Maxwell equations. Author