Field guide to linear systems in optics
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ENGL Polikar robi discrete convolution field guide to. Polikar, Robi.
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Rowan University, A lecturer at Rowan University has posted lecture notes on discrete convolution online for students. The organization of this source is very conducive to effective learning; the lectures are in powerpoint format with a variety of complementary graphics.
The source also uses a numbered, step-by-step format in order to demonstrate how to solve a convolution problem. The source is very helpful in learning mathematical convolution, but it could certainly use more real-world descriptions.
"Linear systems" is a broad and important area in many scientific and engineering disciplines, and it is especially important in optics because it. Field Guide to Linear Systems in Optics [J. Scott Tyo, Andrey Alenin] on Amazon. com. *FREE* shipping on qualifying offers.
Smith, Steven W. Amsterdam: Newnes, The digital processing book by Steven Smith contains a complete chapter dedicated to convolution, and primarily discusses its mathematical components. No real world applications are offered or described, and the chapter instantly delves into the mathematics with little to no background explanations. One thing the book does succeed in, however, is utilizing effective graphics to supplement the mathematics; this allows students to see convolution graphically, rather than attempt to visualize it themselves.
Texas Instruments. Shibboleth users login to see if you have access. 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. Harmonic Analysis and Fourier Series. Square Wave and Truncated Fourier Series. Fourier Transform. Fourier Transform Properties. Symmetry of Functions and Fourier Transforms.
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Parseval's Theorem and Moment Theorem. Laplace Transform. Impulse Functions in Two Dimensions. Fourier Transforms of 2D Functions. Hankel Transform. Hankel Transform Pairs and Properties.
Skew Functions. Operators and LSI Systems. Convolution and Impulse Response.
Graphical Convolution. Convolution Theorem. Convolution and Correlation in Two Dimensions. Band-Limited and Space-Limited Functions. Ideal Sampling.
Sampling in Two Dimensions. Non-Ideal Sampling. Band-Limited Reconstruction.
Polikar robi discrete convolution field guide to
DFT Properties. DFT Evaluation. Continuous and Discrete Fourier Domains. Gibbs Phenomenon and Frequency Leakage.
Field Guide to Linear Systems in Optics
Windowing of Sequences. Discrete Convolution. Interpolation and Decimation. Amplitude-Only Filters.
Phase-Only Filters. Special Classes of Phase Filters. Matched Filtering.
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Projection-Slice Theorem. Random Functions and Sequences.
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Filtering Random Signals. Wiener-Helstrom Filter. Plane Wave Spectrum. Propagation of Optical Beams. Spatial and Temporal Coherence. Paraxial Approximation and Scalar Diffraction. Fresnel Diffraction. Fraunhofer Diffraction. Fourier Transforming Properties of Lenses.
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Fourier Description of Optical Cavity Modes. Higher-Order Cavity Modes. Slab Waveguides. Optical Fiber Waveguides. Diffraction-Limited Focal Imaging Systems.