# Accession Number:

## AD0707776

# Title:

## SOLUTION OF THE HELMHOLTZ EQUATION ON A SQUARE FOR A REACTIVE SCATTERING MODEL.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1969-10-01

# Pagination or Media Count:

## 14.0

# Abstract:

Solutions of the Helmholtz equation the second partial derivative with respect to x the second partial derivative with respect to y k squared 1psi 0 describing a simple scattering process in an L-shaped region are studied. To obtain the correct expansion for psix,y on the square corner of the L-shape when k 1, it is found necessary to replace terms sin kx sin y and sin x sin ky by sin x sin y and x cos x sin y - y cos y sin x. Terms similar to the latter have been neglected by previous authors and spurious resonances found in consequence. Author

# Descriptors:

# Subject Categories:

- Numerical Mathematics
- Quantum Theory and Relativity