Field Guide to Linear Systems in Optics [Elektronisk resurs] / J. Scott Tyo, Andrey S. Alenin.

• Fourier Transform Tables -- Equation Summary -- Mathematical Background and Notation -- Complex Numbers and Complex Plane -- Complex Arithmetic -- Specialized Complex Operations -- Complex Sinusoidal Functions and Phasors -- Idealized Models and the Unit Step Function -- Pulse-Like Functions -- Impulse Function -- Impulse Function Properties -- Integrals and Derivatives of the Delta Function -- Comb Function -- Orthonormal Basis Functions -- Fourier Analysis -- Harmonic Analysis and Fourier Series -- Square Wave and Truncated Fourier Series -- Fourier Transform -- Fourier Transform Properties -- Symmetry of Functions and Fourier Transforms -- Parseval's Theorem and Moment Theorem -- Laplace Transform -- 2D Functions -- Impulse Functions in Two Dimensions -- Fourier Transforms of 2D Functions -- Hankel Transform -- Hankel Transform Pairs and Properties -- Skew Functions -- Linear Shift-Invariant Systems -- Operators and LSI Systems -- Convolution and Impulse Response -- Causality -- Graphical Convolution -- Convolution Theorem -- Correlation -- Convolution and Correlation in Two Dimensions -- Sampling, Discrete Systems, and the DFT -- Band-Limited and Space-Limited Functions -- Ideal Sampling -- Sampling in Two Dimensions -- Non-Ideal Sampling -- Aliasing -- Band-Limited Reconstruction -- Discrete-Space Fourier Transform (DSFT) -- z-Transform -- Discrete Fourier Transform (DFT) -- DFT Properties -- DFT Evaluation -- Continuous and Discrete Fourier Domains -- Gibbs Phenomenon and Frequency Leakage -- Windowing of Sequences -- Fast Fourier Transform (FFT) -- Discrete Convolution -- Interpolation and Decimation -- Signal and Image Processing -- Filters -- Amplitude-Only Filters -- Phase-Only Filters -- Special Classes of Phase Filters -- Equalization -- Matched Filtering -- Projection-Slice Theorem -- Random Functions and Sequences -- Power Spectral Density (PSD) Function -- Filtering Random Signals -- Wiener-Helstrom Filter -- Propagation of Optical Fields -- Modes -- Plane Wave Spectrum -- Transfer Function/Impulse Response of Free Space -- Propagation of Optical Beams -- Spatial and Temporal Coherence -- Diffraction -- Paraxial Approximation and Scalar Diffraction -- Fresnel Diffraction -- Fraunhofer Diffraction -- Fraunhofer/Fresnel Basis Functions -- Fourier Transforming Properties of Lenses -- Fourier Description of Optical Cavity Modes -- Higher-Order Cavity Modes -- Slab Waveguides -- Optical Fiber Waveguides -- Image-Forming Systems -- Diffraction-Limited Focal Imaging Systems -- Airy Disk -- Coherent Transfer Function (CTF) -- Optical Transfer Function (OTF) -- Aberrated Systems -- Comparisons of Coherent and Incoherent Output -- Two-Point Resolution with Coherent Light -- Roughness and Scattered Light -- Applications of Linear Systems and Fourier Analysis -- Fourier Transform Spectroscopy (FTS) -- Multiplexing -- Sampled Color Imaging Systems -- RGB Detector and Display Arrays -- Channeled Spectropolarimetry -- Optical Signal Processing -- Green's Functions -- Moment Method -- Array Apertures -- Crystal Lattices and Reciprocal Lattices. 

• "Linear systems" is a broad and important area in many scientific and engineering disciplines, and it is especially important in optics because it forms the basis for Fourier optics, diffraction theory, image-quality assessment, and many other areas. This Field Guide provides the practicing optical engineer with a reference for the basic concepts and techniques of linear systems, including Fourier series, continuous and discrete Fourier transforms, convolution, sampling and aliasing, and MTF/PSF using the language, notation, and applications from optics, imaging, and diffraction. 

Ämnesord

Linear systems  (LCSH)

Optics  (LCSH)

Fourier transformations  (LCSH)

Klassifikation

535 (DDC)

Uccb (kssb/8 (machine generated))