# Accession Number:

## AD0681013

# Title:

## AN EVALUATION OF A SIGNAL DISTORTION INTEGRAL.

# Descriptive Note:

## Research rept.,

# Corporate Author:

## NAVY UNDERWATER SOUND LAB NEW LONDON CONN

# Personal Author(s):

# Report Date:

## 1968-10-21

# Pagination or Media Count:

## 18.0

# Abstract:

Using formal methods, R. R. Goodman has given an integral representation of the response due to an arbitrary signal from a point source in a constant gradient medium. A generalization of this integral, valid for L squared signals, is evaluated by showing that the Fourier transform of e to the power -i omega tau the square root of 1-K squared omega squared minus e to the power -1 omega is -2 pi K tau Ht-tau J sub 1 Kthe square root of t squared - tau squaredthe square root of t squared - tau squared, where H is the unit step function. The final result is expanded in a series that converges rapidly for small gradients small K. Author

# Descriptors:

# Subject Categories:

- Acoustic Detection and Detectors
- Acoustics