ELECTRO-OPTICAL FOURIER TRANSFORM SYSTEMS
CONTENTS PHYSICS AND FOURIER TRANSFORMS THE QUALITATIVE APPROACH FOURIER SERIES THE AMPLITUDES OF THE HARMONICS FOURIER TRANSFORMS CONJUGATE VARIABLES GRAPHICAL REPRESENTATIONS USEFUL FUNCTIONS WORKED EXAMPLES USEFUL PROPERTIES AND THEOREMS THE DIRICHLET CONDITIONS THEOREMS CONVOLUTIONS AND THE CONVOLUTION THEOREM THE ALGEBRA OF CONVOLUTIONS OTHER THEOREMS ALIASING APPLICATIONS 1: FRAUNHOFER DIFFRACTION FRAUNHOFER DIFFRACTION EXAMPLES BABINET’S PRINCIPLE DIPOLE ARRAYS POLAR DIAGRAMS PHASE AND COHERENCE FRINGE VISIBILITY THE MICHELSON STELLAR INTERFEROMETER THE VAN CITTERT–ZERNIKE THEOREM APPLICATIONS 2: SIGNAL ANALYSIS AND COMMUNICATION THEORY COMMUNICATION CHANNELS NOISE FILTERS THE MATCHED ?LTER THEOREM MODULATIONS MULTIPLEX TRANSMISSION ALONG A CHANNEL THE PASSAGE OF SOME SIGNALS THROUGH SIMPLE ?LTERS THE GIBBS PHENOMENON APPLICATIONS 3: INTERFERENCE SPECTROSCOPY AND SPECTRAL LINE SHAPES INTERFERENCE SPECTROMETRY THE MICHELSON MULTIPLEX SPECTROMETER THE SHAPES OF SPECTRUM LINES TWO-DIMENSIONAL FOURIER TRANSFORMS CARTESIAN COORDINATES POLAR COORDINATES EXAMPLES OF TWO-DIMENSIONAL FOURIER TRANSFORMS WITH CIRCULAR SYMMETRY APPLICATIONS SOLUTIONS WITHOUT CIRCULAR SYMMETRY MULTI-DIMENSIONAL FOURIER TRANSFORMS THE DIRAC WALL COMPUTERIZED AXIAL TOMOGRAPHY A ‘SPIKE’ OR ‘NAIL’ THE DIRAC FENCE THE ‘BED OF NAILS’ PARALLEL-PLANE DELTA-FUNCTIONS POINT ARRAYS LATTICES THE FORMAL COMPLEX FOURIER TRANSFORM DISCRETE AND DIGITAL FOURIER TRANSFORMS HISTORY THE DISCRETE FOURIER TRANSFORM THE MATRIX FORM OF THE DFT A BASIC FFT ROUTINE