Accession Number : ADA190577

Title :   An Approximation Technique for Solving a System of Fredholm Integral Equations for Asymmetric Detector Response Functions.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Daniel, Russell B

PDF Url : ADA190577

Report Date : Mar 1988

Pagination or Media Count : 150

Abstract : The purpose of this study was to develop the methodology for an to implement a computer program to approximate a solution to a system of Fredholm integral equations. The system of equations used in this study is representative of the equations formed during the detection of pulsed radiation using a series of detectors with asymmetric response functions. Though general in nature and applicable to all systems of Fredholm integral equations, the equations studied are of importance to the Defense Nuclear Agency with regard to the measurement of radiation spectra during underground nuclear effects simulation testing. The deconvolution or solution technique consisted of representing the unfolded spectrum as a weighted sum of basis functions. This unfolded spectrum, the actual spectrum, and predicted spectrum were then used to form a chi square test statistic. By adjusting the parameters in the basis functions and their weights, chi square was minimized and the unfolded spectrum was corrects to approximate the actual spectrum. The methodology for this deconvolution technique was then converted into a general computer program. The validation cases conducted on the two types of spectra confirmed the reliability of the methodology and the computer program. Keywords: Theses; X ray diagnostics; Air force research.

Descriptors :   *INTEGRAL EQUATIONS, *COMPUTER PROGRAM VERIFICATION, *NUCLEAR EXPLOSION SIMULATION, AIR FORCE RESEARCH, ASYMMETRY, COMPUTER PROGRAMS, DETECTION, DETECTORS, MEASUREMENT, METHODOLOGY, PULSES, RADIATION, RELIABILITY, SOLUTIONS(GENERAL), SPECTRA, THESES, VALIDATION, X RAY DIAGNOSTICS, UNDERGROUND EXPLOSIONS, EXPLOSION EFFECTS, RADIATION MEASURING INSTRUMENTS, WEAPONS EFFECTS, NUCLEAR WEAPONS

Subject Categories : Computer Programming and Software
      Numerical Mathematics
      Nuclear Weapons

Distribution Statement : APPROVED FOR PUBLIC RELEASE