# Accession Number:

## ADA179510

# Title:

## Architectural Implications of a Parallel Computational Approach to the Vector Wave Equation.

# Descriptive Note:

## Master's thesis,

# Corporate Author:

## AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

# Personal Author(s):

# Report Date:

## 1987-03-01

# Pagination or Media Count:

## 111.0

# Abstract:

An algorithm has been specified for the hardware implementation of the numerical solution of the electromagnetic fields of an arbitrary current source. The algorithm, defined as the Vector Wave Equation VWE, solves for the magnetic and electric fields, as well as the vector potential of a finite length arbitrary current source. The specified algorithm has been verified through FORTRAN simulation to produce results accurate to within 2 decimal places for a 500 sub-element dipole. The VWE forms a model which is algorithmically symmetric with respect to the cartesian coordinate system. As such, the VWE lends itself to highly parallel and concurrent computational techniques. This property of the algorithm makes it an excellent candidate for implementation by a Very High Speed Integrated Circuit VHSIC class processor. Investigation of a parallel, highly concurrent architectural implementation has yielded preliminary results that computational savings of a factor of 3 and a throughput rate increase of 5 orders of magnitude is attainable. This research has shown that an application specific VHSIC-class processor array has sufficient computing power to support interactive calculation of a set of equations which solve for the magnetic and electric fields, as well as the vector potential of an arbitrarily current source. Keywords Theses Electromagnetic scattering Finite element method.

# Descriptors:

- *PARALLEL PROCESSING
- *PARALLEL PROCESSORS
- *VECTOR ANALYSIS
- *WAVE EQUATIONS
- ALGORITHMS
- SIMULATION
- ELECTROMAGNETIC FIELDS
- MAGNETIC FIELDS
- COMPUTATIONS
- INTERACTIONS
- FINITE ELEMENT ANALYSIS
- NUMERICAL ANALYSIS
- RATES
- COMPUTER ARCHITECTURE
- THESES
- ELECTRIC FIELDS
- PROCESSING EQUIPMENT
- ELECTROMAGNETIC SCATTERING
- FORTRAN
- SOLUTIONS(GENERAL)
- THROUGHPUT
- EQUATIONS
- SAVINGS
- CARTESIAN COORDINATES

# Subject Categories:

- Computer Programming and Software
- Computer Hardware