Linear Systems, Fourier Transforms, and OpticsA complete and balanced account of communication theory, providing an understanding of both Fourier analysis (and the concepts associated with linear systems) and the characterization of such systems by mathematical operators. Presents applications of the theories to the diffraction of optical wave-fields and the analysis of image-forming systems. Emphasizes a strong mathematical foundation and includes an in-depth consideration of the phenomena of diffraction. Combines all theories to describe the image-forming process in terms of a linear filtering operation for both coherent and incoherent imaging. Chapters provide carefully designed sets of problems. Also includes extensive tables of properties and pairs of Fourier transforms and Hankle Transforms. |
Contents
INTRODUCTION | 1 |
SPECIAL FUNCTIONS | 40 |
HARMONIC ANALYSIS | 99 |
Copyright | |
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aberrations amplitude filter aperture stop autocorrelation axis b₁ b₂ beam waist behavior coherent complex amplitude complex numbers convolution coordinates cutoff frequency define delta function denote described determined diffraction pattern distance effects eigenfunctions entrance pupil example exit pupil expression Figure focal length focal plane Fourier transform Fraunhofer diffraction Fresnel function f(x Gaussian beam Gaussian function given by Eq Hankel transform illustrated in Fig image irradiance image plane imaging system impulse response incoherent imaging input integral interval lens elements line response linear located LSI system modulation negative Note object observation plane obtain one-dimensional operation optical phasor plane-wave point spread function positive properties quantity R₂ real constants rect rectangle function rectangular result sampling shift invariant shown in Fig signal Sketch spectral spherical wave field symmetric tion two-dimensional U₁ variable width z₁ zero λέ