- Schaffer, James P. and Shaughnessy, Edward J. and Jones, Phillip L., DECONVOLUTION OF DOPPLER-BROADENED POSITRON ANNIHILATION MEASUREMENTS USING FAST FOURIER TRANSFORMS AND POWER SPECTRAL ANALYSIS.,
Nuclear Instruments & Methods in Physics Research, Section B: Beam Interactions with Materials and, vol. 233 no. 1
pp. 75 - 79 .
(last updated on 2007/04/06)
A deconvolution procedure which corrects Doppler-broadened positron annihilation spectra for instrument resolution is described. The method employs fast Fourier transforms, is model independent, and does not require iteration. The mathematical difficulties associated with the incorrectly posed first order Fredholm integral equation are overcome by using power spectral analysis to select a limited number of low frequency Fourier coefficients. The FFT/power spectrum method is then demonstrated for an irradiated high purity single crystal sapphire sample.