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Introduction to Fourier optics:

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Beteilige Person:	Goodman, Joseph W. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Englewood, Colo. Roberts 2005
Ausgabe:	3. ed.
Schlagwörter:	Buiging (natuurkunde) Fourier, Optique de Fourier-analyse Fourier-transformatie Holografie Optica Óptica Fourier transform optics Fourier-Optik Optik Information Linse Wellenoptik Harmonische Analyse Streuung Licht Einführung
Links:	http://www.loc.gov/catdir/toc/ecip051/2004023213.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016167923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XVIII, 491 S. Ill., graph. Darst.
ISBN:	0974707724

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adam_text	Titel: Introduction to Fourier optics Autor: Goodman, Joseph W Jahr: 2005 Contents Preface........................................................................vii 1 Introduction.........................................................1 1.1 Optics, Information, and Communication...................................I 1.2 The Book................................................................2 2 Analysis of Two-Dimensional Signals and Systems 2.1 Fourier Analysis in Two Dimensions.......................................4 2.1.1 Definition and Existence Conditions................................4 2.1.2 The Fourier Transform as a Decomposition.........................6 2.1.3 Fourier Transform Theorems......................................7 2.1.4 Separable Functions..............................................9 2.1.5 Functions with Circular Symmetry: Fourier-Bessel Transforms......10 2.1.6 Some Frequently Used Functions and Some Useful Fourier Transform Pairs.................................................12 2.2 Spatial Frequency and Space-Frequency Localization.......................15 2.3 Linear Systems..........................................................18 2.3.1 Linearity and the Superposition Integral...........................19 2.3.2 Invariant Linear Systems: Transfer Functions......................20 2.4 Two-Dimensional Sampling Theory.......................................22 2.4.1 The Whittaker-Shannon Sampling Theorem........................22 2.4.2 Space-Bandwidth Product........................................26 Contents 3 Foundations of Scalar Diffraction Theory.................................31 3.1 Historical Introduction...................................................31 3.2 From a Vector to a Scalar Theory.........................................35 3.3 Some Mathematical Preliminaries.........................................38 3.3.1 The Helmholtz Equation.........................................38 3.3.2 Green s Theorem................................................39 3.3.3 The Integral Theorem of Helmholtz and Kirchhoff..................39 3.4 The Kirchhoff Formulation of Diffraction by a Planar Screen................42 3.4.1 Application of the Integral Theorem...............................42 3.4.2 The Kirchhoff Boundary Conditions..............................44 3.4.3 The Fresnel-Kirchhoff Diffraction Formula........................45 3.5 The Rayleigh-Sommerfeld Formulation of Diffraction......................46 3.5.1 Choice of Alternative Green s Functions...........................47 3.5.2 The Rayleigh-Sommerfeld Diffraction Formula....................49 3.6 Comparison of the Kirchhoff and Rayleigh-Sommerfeld Theories............50 3.7 Further Discussion of the Huygens-Fresnel Principle........................52 3.8 Generalization to Nonmonochromatic Waves...............................53 3.9 Diffraction at Boundaries................................................54 3.10 The Angular Spectrum of Plane Waves....................................55 3.10.1 The Angular Spectrum and Its Physical Interpretation...............55 3.10.2 Propagation of the Angular Spectrum.............................57 3.10.3 Effects of a Diffracting Aperture on the Angular Spectrum..........59 3.10.4 The Propagation Phenomenon as a Linear Spatial Filter.............60 4 Fresnel and Fraunhofer Diffraction.....................................63 4.1 Background............................................................63 4.1.1 The Intensity of a Wave Field.....................................63 4.1.2 The Huygens-Fresnel Principle in Rectangular Coordinates..........65 4.2 The Fresnel Approximation..............................................66 4.2.1 Positive vs. Negative Phases......................................68 4.2.2 Accuracy of the Fresnel Approximation...........................68 4.2.3 The Fresnel Approximation and the Angular Spectrum..............72 4.2.4 Fresnel Diffraction between Confocal Spherical Surfaces............73 4.3 The Fraunhofer Approximation...........................................74 4.4 Examples of Fraunhofer Diffraction Patterns...............................75 4.4.1 Rectangular Aperture............................................76 4.4.2 Circular Aperture...............................................76 4.4.3 Thin Sinusoidal Amplitude Grating...............................78 4.4.4 Thin Sinusoidal Phase Grating....................................82 4.5 Examples of Fresnel Diffraction Calculations..............................84 4.5.1 Fresnel Diffraction by a Square Aperture..........................84 4.5.2 Fresnel Diffraction by a Sinusoidal Amplitude Grating-Talbot Images.........................................................88 Contents xiii 5 Wave-Optics Analysis of Coherent Optical Systems........................97 5.1 A Thin Lens as a Phase Transformation....................................97 5.1.1 The Thickness Function..........................................98 5.1.2 The Paraxial Approximation....................................100 5.1.3 The Phase Transformation and Its Physical Meaning...............100 5.2 Fourier Transforming Properties of Lenses................................103 5.2.1 Input Placed against the Lens....................................104 5.2.2 Input Placed in Front of the Lens................................105 5.2.3 Input Placed behind the Lens....................................107 5.2.4 Example of an Optical Fourier Transform.........................108 5.3 Image Formation: Monochromatic Illumination...........................108 5.3.1 The Impulse Response of a Positive Lens.........................109 5.3.2 Eliminating Quadratic Phase Factors: The Lens Law...............Ill 5.3.3 The Relation between Object and Image..........................114 5.4 Analysis of Complex Coherent Optical Systems...........................115 5.4.1 An Operator Notation..........................................115 5.4.2 Application of the Operator Approach to Some Optical Systems___118 6 Frequency Analysis of Optical Imaging Systems...........................127 6.1 Generalized Treatment of Imaging Systems...............................128 6.1.1 A Generalized Model...........................................128 6.1.2 Effects of Diffraction on the Image..............................129 6.1.3 Polychromatic Illumination: The Coherent and Incoherent Cases___131 6.2 Frequency Response for Diffraction-Limited Coherent Imaging.............135 6.2.1 The Amplitude Transfer Function................................136 6.2.2 Examples of Amplitude Transfer Functions.......................137 6.3 Frequency Response for Diffraction-Limited Incoherent Imaging...........138 6.3.1 The Optical Transfer Function...................................138 6.3.2 General Properties of the OTF...................................140 6.3.3 The OTF of an Aberration-Free System..........................141 6.3.4 Examples of Diffraction-Limited OTFs...........................143 6.4 Aberrations and Their Effects on Frequency Response.....................145 6.4.1 The Generalized Pupil Function.................................145 6.4.2 Effects of Aberrations on the Amplitude Transfer Function.........147 6.4.3 Effects of Aberrations on the OTF...............................148 6.4.4 Example of a Simple Aberration: A Focusing Error................149 6.4.5 Apodi/.ation and Its Effects on Frequency Response...............152 6.5 Comparison of Coherent and Incoherent Imaging..........................154 6.5.1 Frequency Spectrum of the Image Intensity___...................156 6.5.2 Two-Point Resolution..........................................158 6.5.3 Other Effects..................................................160 Contents 6.6 Resolution beyond the Classical Diffraction Limit.........................162 6.6.1 Underlying Mathematical Fundamentals..........................162 6.6.2 Intuitive Explanation of Bandwidth Extrapolation.................163 6.6.3 An Extrapolation Method Based on the Sampling Theorem.........164 6.6.4 An Iterative Extrapolation Method...............................166 6.6.5 Practical Limitations...........................................167 7 Wavefront Modulation...............................................173 7.1 Wavefront Modulation with Photographic Film............................174 7.1.1 The Physical Processes of Exposure, Development, and Fixing.....174 7.1.2 Definition of Terms............................................175 7.1.3 Film in an Incoherent Optical System............................178 7.1.4 Film in a Coherent Optical System...............................179 7.1.5 The Modulation Transfer Function...............................182 7.1.6 Bleaching of Photographic Emulsions............................185 7.2 Spatial Light Modulators................................................186 7.2.1 Properties of Liquid Crystals....................................187 7.2.2 Spatial Light Modulators Based on Liquid Crystals................195 7.2.3 Magneto-Optic Spatial Light Modulators.........................199 7.2.4 Deformable Mirror Spatial Light Modulators.....................202 7.2.5 Multiple Quantum Well Spatial Light Modulators.................204 7.2.6 Acousto-Optic Spatial Light Modulators..........................208 7.3 Diffractive Optical Elements............................................212 7.3.1 Binary Optics..................................................212 7.3.2 Other Types of Diffractive Optics................................216 7.3.3 A Word of Caution.............................................216 Analog Optical Information Processing.................................219 8.1 Historical Background..................................................220 8.1.1 The Abbe-Porter Experiments...................................220 8.1.2 The Zernike Phase-Contrast Microscope..........................222 8.1.3 Improvement of Photographs: Marechal..........................224 8.1.4 The Emergence of a Communications Viewpoint..................226 8.1.5 Application of Coherent Optics to More General Data Processing ... 226 8.2 Incoherent Image Processing Systems....................................226 8.2.1 Systems Based on Geometrical Optics............................227 8.2.2 Systems That Incorporate the Effects of Diffraction................232 8.3 Coherent Optical Information Processing Systems.........................234 8.3.1 Coherent System Architectures..................................234 8.3.2 Constraints on Filter Realization.................................237 Contents xv 8.4 The VanderLugt Filter..................................................239 8.4.1 Synthesis of the Frequency-Plane Mask..........................239 8.4.2 Processing the Input Data.......................................242 8.4.3 Advantages of the VanderLugt Filter.............................244 8.5 The Joint Transform Correlator..........................................245 8.6 Application to Character Recognition....................................248 8.6.1 The Matched Filter.............................................248 8.6.2 A Character-Recognition Problem...............................249 8.6.3 Optical Synthesis of a Character-Recognition Machine.............251 8.6.4 Sensitivity to Scale Size and Rotation............................252 8.7 Optical Approaches to Invariant Pattern Recognition.......................253 8.7.1 Mellin Correlators..............................................254 8.7.2 Circular Harmonic Correlation..................................256 8.7.3 Synthetic Discriminant Functions................................257 8.8 Image Restoration......................................................259 8.8.1 The Inverse Filter..............................................259 8.8.2 The Wiener Filter, or the Least-Mean-Square-Error Filter..........261 8.8.3 Filter Realization...............................................262 8.9 Processing Synthetic-Aperture Radar (SAR) Data.........................265 8.9.1 Formation of the Synthetic Aperture.............................266 8.9.2 The Collected Data and the Recording Format....................267 8.9.3 Focal Properties of the Film Transparency........................269 8.9.4 Forming a Two-Dimensional Image..............................273 8.9.5 The Tilted Plane Processor......................................274 8.10 Acousto-Optic Signal Processing Systems................................277 8.10.1 Bragg Cell Spectrum Analyzer..................................278 8.10.2 Space-Integrating Correlator....................................280 8.10.3 Time-Integrating Correlator.....................................281 8.10.4 Other Acousto-Optic Signal Processing Architectures..............283 8.11 Discrete Analog Optical Processors......................................284 8.11.1 Discrete Representation of Signals and Systems...................284 8.11.2 A Serial Matrix-Vector Multiplier................................285 8.11.3 A Parallel Incoherent Matrix-Vector Multiplier....................286 8.11.4 An Outer Product Processor.....................................288 8.11.5 Other Discrete Processing Architectures..........................290 8.11.6 Methods for Handling Bipolar and Complex Data.................290 9 Holograph).......................................................297 9.1 Historical Introduction..................................................297 9.2 The Wavefront Reconstruction Problem..................................298 9.2.1 Recording Amplitude and Phase.................................298 9.2.2 The Recording Medium.........................................299 Contents 9.2.3 Reconstruction of the Original Wavefront.........................3(X) 9.2.4 Linearity of the Holographic Process.............................301 9.2.5 Image Formation by Holography................................302 9.3 The Gabor Hologram...................................................303 9.3.1 Origin of the Reference Wave...................................304 9.3.2 The Twin Images...............................................305 9.3.3 Limitations of the Gabor Hologram..............................306 9.4 The Leith-Upatnieks Hologram..........................................306 9.4.1 Recording the Hologram........................................307 9.4.2 Obtaining the Reconstructed Images.............................308 9.4.3 The Minimum Reference Angle.................................310 9.4.4 Holography of Three-Dimensional Scenes........................311 9.4.5 Practical Problems in Holography................................314 9.5 Image Locations and Magnification......................................316 9.5.1 Image Locations...............................................316 9.5.2 Axial and Transverse Magnifications.............................319 9.5.3 An Example..................................................320 9.6 Some Different Types of Holograms.....................................321 9.6.1 Fresnel, Fraunhofer, Image, and Fourier Holograms...............322 9.6.2 Transmission and Reflection Holograms..........................323 9.6.3 Holographic Stereograms.......................................325 9.6.4 Rainbow Holograms............................................326 9.6.5 Multiplex Holograms...........................................329 9.6.6 Embossed Holograms..........................................331 9.7 Thick Holograms......................................................332 9.7.1 Recording a Volume Holographic Grating........................332 9.7.2 Reconstructing Wavefronts from a Volume Grating................334 9.7.3 Fringe Orientations for More Complex Recording Geometries......335 9.7.4 Gratings of Finite Size..........................................337 9.7.5 Diffraction Efficiency-Coupled Mode Theory...................339 9.8 Recording Materials....................................................350 9.8.1 Silver Halide Emulsions........................................350 9.8.2 Photopolymer Films............................................351 9.8.3 Dichromated Gelatin...........................................352 9.8.4 Photorefractive Materials.......................................352 9.9 Computer-Generated Holograms.........................................355 9.9.1 The Sampling Problem.........................................356 9.9.2 The Computational Problem....................................359 9.9.3 The Representational Problem...................................359 9.10 Degradations of Holographic Images.....................................367 9.10.1 Effects of Film MTF...........................................368 9.10.2 Effects of Film Nonlinearities...................................371 9J0.3 Effects of Film-Grain Noise.....................................372 9.10.4 Speckle Noise.................................................373 Contents xvii 9.11 Holography with Spatially Incoherent Light...............................374 9.12 Applications of Holography.............................................377 9.12.1 Microscopy and High-Resolution Volume Imagery................377 9.12.2 Interferometry.................................................378 9.12.3 Imaging through Distorting Media...............................384 9.12.4 Holographic Data Storage.......................................388 9.12.5 Holographic Weights for Artificial Neural Networks...............389 9.12.6 Other Applications.............................................393 10 Fourier Optics in Optical Communications.............................399 10.1 Introduction............................................................399 10.2 Fiber Bragg Gratings....................................................400 10.2.1 Introduction to Optical Fibers.....................................400 10.2.2 Recording Gratings in Optical Fibers..............................403 10.2.3 Effects of an FBG on Light Propagating in the Fiber................404 10.2.4 Applications of FBGs............................................407 10.2.5 Gratings Operated in Transmission................................409 10.3 Ultrashort Pulse Shaping and Processing...................................410 10.3.1 Mapping of Temporal Frequencies to Spatial Frequencies...........410 10.3.2 Pulse Shaping System............................................412 10.3.3 Applications of Spectral Pulse Shaping............................413 10.4 Spectral Holography.....................................................415 10.4.1 Recording the Hologram.........................................415 10.4.2 Reconstructing the Signals.......................................417 10.4.3 Effects of Delay between the Reference Pulse and the Signal Waveform................................................420 10.5 Arrayed Waveguide Gratings.............................................420 10.5.1 Component Parts of an Arrayed Waveguide Grating.................421 10.5.2 Applications of AWGs...........................................427 A Delta Functions and Fourier Transform Theorems........................433 A. 1 Delta Functions..........................................................433 A.2 Derivation of Fourier Transform Theorems.................................435 B Introduction to Paraxial Geometrical Optics.............................441 B. 1 The Domain of Geometrical Optics........................................ 441 B.2 Refraction, Snell s Law, and the Paraxial Approximation.....................443 B.3 The Ray-Transfer Matrix..................................................444 B.4 Conjugate Planes, Focal Planes, and Principal Planes...................,___447 B.5 Entrance and Exit Pupils..................................................451 xviii Contents C Polarization and Jones Matrices.......................................455 C. I Definition of the Jones Matrix.............................................455 C.2 Examples of Simple Polarization Transformations...........................457 C.3 Reflective Polarization Devices............................................459 D The Crating Equation..............................................463 Bibliography..................................................................465 Index.........................................................................481
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genre	1\p (DE-588)4151278-9 Einführung gnd-content
genre_facet	Einführung
id	DE-604.BV022963580
illustrated	Illustrated
indexdate	2024-12-20T13:06:20Z
institution	BVB
isbn	0974707724
language	English
lccn	2004023213
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016167923
oclc_num	56632414
open_access_boolean
owner	DE-898 DE-BY-UBR DE-20 DE-29T DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-384 DE-11 DE-83 DE-92 DE-859 DE-91G DE-BY-TUM DE-703
owner_facet	DE-898 DE-BY-UBR DE-20 DE-29T DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-384 DE-11 DE-83 DE-92 DE-859 DE-91G DE-BY-TUM DE-703
physical	XVIII, 491 S. Ill., graph. Darst.
publishDate	2005
publishDateSearch	2005
publishDateSort	2005
publisher	Roberts
record_format	marc
spellingShingle	Goodman, Joseph W. Introduction to Fourier optics Buiging (natuurkunde) gtt Fourier, Optique de Fourier-analyse gtt Fourier-transformatie gtt Holografie gtt Optica gtt Óptica larpcal Fourier transform optics Fourier-Optik (DE-588)4155108-4 gnd Optik (DE-588)4043650-0 gnd Information (DE-588)4026899-8 gnd Linse (DE-588)4167776-6 gnd Wellenoptik (DE-588)4189552-6 gnd Holografie (DE-588)4025643-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd Streuung (DE-588)4058056-8 gnd Licht (DE-588)4035596-2 gnd
subject_GND	(DE-588)4155108-4 (DE-588)4043650-0 (DE-588)4026899-8 (DE-588)4167776-6 (DE-588)4189552-6 (DE-588)4025643-1 (DE-588)4023453-8 (DE-588)4058056-8 (DE-588)4035596-2 (DE-588)4151278-9
title	Introduction to Fourier optics
title_alt	Fourier optics
title_auth	Introduction to Fourier optics
title_exact_search	Introduction to Fourier optics
title_full	Introduction to Fourier optics Joseph W. Goodman
title_fullStr	Introduction to Fourier optics Joseph W. Goodman
title_full_unstemmed	Introduction to Fourier optics Joseph W. Goodman
title_short	Introduction to Fourier optics
title_sort	introduction to fourier optics
topic	Buiging (natuurkunde) gtt Fourier, Optique de Fourier-analyse gtt Fourier-transformatie gtt Holografie gtt Optica gtt Óptica larpcal Fourier transform optics Fourier-Optik (DE-588)4155108-4 gnd Optik (DE-588)4043650-0 gnd Information (DE-588)4026899-8 gnd Linse (DE-588)4167776-6 gnd Wellenoptik (DE-588)4189552-6 gnd Holografie (DE-588)4025643-1 gnd Harmonische Analyse (DE-588)4023453-8 gnd Streuung (DE-588)4058056-8 gnd Licht (DE-588)4035596-2 gnd
topic_facet	Buiging (natuurkunde) Fourier, Optique de Fourier-analyse Fourier-transformatie Holografie Optica Óptica Fourier transform optics Fourier-Optik Optik Information Linse Wellenoptik Harmonische Analyse Streuung Licht Einführung
url	http://www.loc.gov/catdir/toc/ecip051/2004023213.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016167923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT goodmanjosephw introductiontofourieroptics AT goodmanjosephw fourieroptics

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