Accession Number:

ADA066905

Title:

On the Singularity Expansion Method for the Solution of Electromagnetic Interaction Problems

Descriptive Note:

Corporate Author:

AIR FORCE WEAPONS LAB KIRTLAND AFB NM

Personal Author(s):

Report Date:

1971-12-11

Pagination or Media Count:

112.0

Abstract:

This note develops a new method for the solution of EMP interaction problems. Basically it involves expanding the solution in terms of its singularities in the Laplace transform or complex frequency or s plane. In the time domain each term comes from an inverse transform of the corresponding term in the singularity expansion. Finite size objects with well behaved media have only poles in the finite s plane for their delta function response. These factor into terms involving the classical natural frequencies and modes but in addition bring out factors which we call coupling coefficients as well as the possiblity of higher order poles besides simple poles, but still of finite order in the finite s plane. If the incident waveform has singularities in the finite s plane the response can be generally split into an object part containing object poles and a waveform part containing the waveform singularities. The object poles directly give amplitudes, frequencies, damping constants, and phases for the damped sinusoidal waveforms seen so commonly in EMP tests using pulsed waveforms. There is some latitude in the calculation of coupling coefficients and some difficulties are discussed. Author

Subject Categories:

  • Electromagnetic Pulses

Distribution Statement:

APPROVED FOR PUBLIC RELEASE