Diffraction, fourier optics, and imaging:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, N.J.
Wiley
2007
|
| Schriftenreihe: | Wiley series in pure and applied optics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. 397-402) and index |
| Beschreibung: | xvi, 413 p. ill. |
| ISBN: | 9780471238164 0471238163 |
Internformat
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| 100 | 1 | |a Ersoy, Okan K. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Diffraction, fourier optics, and imaging |c Okan K. Ersoy |
| 264 | 1 | |a Hoboken, N.J. |b Wiley |c 2007 | |
| 300 | |a xvi, 413 p. |b ill. | ||
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| 490 | 0 | |a Wiley series in pure and applied optics | |
| 500 | |a Includes bibliographical references (p. 397-402) and index | ||
| 650 | 4 | |a Diffraction | |
| 650 | 4 | |a Fourier, Optique de | |
| 650 | 4 | |a Imagerie (Technique) | |
| 650 | 4 | |a Traitement d'images - Mathématiques | |
| 650 | 4 | |a Diffraction | |
| 650 | 4 | |a Fourier transform optics | |
| 650 | 4 | |a Imaging systems | |
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Datensatz im Suchindex
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| adam_text | DIFFRACTION, FOURIER OPTICS AND IMAGING OKAN K. ERSOY * ICENTENNIAL
BICENTENNIAL WILEY-INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION
CONTENTS PREFACE XIII 1. DIFFRACTION, FOURIER OPTICS AND IMAGING 1 1.1
INTRODUCTION 1 1.2 EXAMPLES OF EMERGING APPLICATIONS WITH GROWING
SIGNIFICANCE 2 1.2.1 DENSE WAVELENGTH DIVISION
MULTIPLEXING/DEMULTIPLEXING (DWDM) 3 1.2.2 OPTICAL AND MICROWAVE DWDM
SYSTEMS 3 1.2.3 DIFFRACTIVE AND SUBWAVELENGTH OPTICAL ELEMENTS 3 1.2.4
NANODIFFRACTIVE DEVICES AND RIGOROUS DIFFRACTION THEORY 4 1.2.5 MODERN
IMAGING TECHNIQUES 4 2. LINEAR SYSTEMS AND TRANSFORMS 6 2.1 INTRODUCTION
6 2.2 LINEAR SYSTEMS AND SHIFT INVARIANCE 7 2.3 CONTINUOUS-SPACE FOURIER
TRANSFORM 10 2.4 EXISTENCE OF FOURIER TRANSFORM 11 2.5 PROPERTIES OF THE
FOURIER TRANSFORM 12 2.6 REAL FOURIER TRANSFORM 18 2.7 AMPLITUDE AND
PHASE SPECTRA 20 2.8 HANKEL TRANSFORMS 21 3. FUNDAMENTALS OF WAVE
PROPAGATION 25 3.1 INTRODUCTION 25 3.2 WAVES 26 3.3 ELECTROMAGNETIC
WAVES 31 3.4 PHASOR REPRESENTATION 33 3.5 WAVE EQUATIONS IN A
CHARGE-FREE MEDIUM 34 3.6 WAVE EQUATIONS IN PHASOR REPRESENTATION IN A
CHARGE-FREE MEDIUM 36 3.7 PLANE EM WAVES 37 4. SCALAR DIFFRACTION THEORY
41 4.1 INTRODUCTION 41 4.2 HELMHOLTZ EQUATION 42 CONTENTS 4.3 ANGULAR
SPECTRUM OF PLANE WAVES 44 4.4 FAST FOURIER TRANSFORM (FFT)
IMPLEMENTATION OF THE ANGULAR SPECTRUM OF PLANE WAVES 47 4.5 THE
KIRCHOFF THEORY OF DIFFRACTION 53 4.5.1 KIRCHOFF THEORY OF DIFFRACTION
55 4.5.2 FRESNEL-KIRCHOFF DIFFRACTION FORMULA 56 4.6 THE
RAYLEIGH-SOMMERFELD THEORY OF DIFFRACTION 57 4.6.1 THE KIRCHHOFF
APPROXIMATION 59 4.6.2 THE SECOND RAYLEIGH-SOMMERFELD DIFFRACTION
FORMULA 59 4.7 ANOTHER DERIVATION OF THE FIRST RAYLEIGH-SOMMERFELD
DIFFRACTION INTEGRAL 59 4.8 THE RAYLEIGH-SOMMERFELD DIFFRACTION INTEGRAL
FOR NONMONOCHROMATIC WAVES 61 FRESNEL AND FRAUNHOFER APPROXIMATIONS 63
5.1 INTRODUCTION 63 5.2 DIFFRACTION IN THE FRESNEL REGION 64 5.3 FFT
IMPLEMENTATION OF FRESNEL DIFFRACTION 72 5.4 PARAXIAL WAVE EQUATION 73
5.5 DIFFRACTION IN THE FRAUNHOFER REGION 74 5.6 DIFFRACTION GRAETINGS 76
5.7 FRAUNHOFER DIFFRACTION BY A SINUSOIDAL AMPLITUDE GRAETING 78 5.8
FRESNEL DIFFRACTION BY A SINUSOIDAL AMPLITUDE GRAETING 79 5.9 FRAUNHOFER
DIFFRACTION WITH A SINUSOIDAL PHASE GRAETING 81 5.10 DIFFRACTION GRAETINGS
MADE OF SLITS 82 INVERSE DIFFRACTION 84 6.1 INTRODUCTION 84 6.2
INVERSION OF THE FRESNEL AND FRAUNHOFER REPRESENTATIONS 84 6.3 INVERSION
OF THE ANGULAR SPECTRUM REPRESENTATION 85 6.4 ANALYSIS 86 WIDE-ANGLE
NEAR AND FAR FIELD APPROXIMATIONS FOR SCALAR DIFFRACTION 90 7.1
INTRODUCTION 90 7.2 A REVIEW OF FRESNEL AND FRAUNHOFER APPROXIMATIONS 91
7.3 THE RADIAL SET OF APPROXIMATIONS 93 7.4 HIGHER ORDER IMPROVEMENTS
AND ANALYSIS 95 7.5 INVERSE DIFFRACTION AND ITERATIVE OPTIMIZATION 96
7.6 NUMERICAL EXAMPLES 97 7.7 MORE ACCURATE APPROXIMATIONS 110 7.8
CONCLUSIONS 111 CONTENTS VH 8. GEOMETRICAL OPTICS 112 8.1 INTRODUCTION
112 8.2 PROPAGATION OF RAYS 112 8.3 THE RAY EQUATIONS 117 8.4 THE
EIKONAL EQUATION 118 8.5 LOCAL SPATIAL FREQUENCIES AND RAYS 120 8.6
MATRIX REPRESENTATION OF MERIDIONAL RAYS 123 8.7 THICK LENSES 130 8.8
ENTRANCE AND EXIT PUPILS OF AN OPTICAL SYSTEM 132 9. FOURIER TRANSFORMS
AND IMAGING WITH COHERENT OPTICAL SYSTEMS 134 9.1 INTRODUCTION 134 9.2
PHASE TRANSFORMATION WITH A THIN LENS 134 9.3 FOURIER TRANSFORMS WITH
LENSES 136 9.3.1 WAVE FIELD INCIDENT ON THE LENS 136 9.3.2 WAVE FIELD TO
THE LEFT OF THE LENS 137 9.3.3 WAVE FIELD TO THE RIGHT OF THE LENS 138
9.4 IMAGE FORMATION AS 2-D LINEAR FILTERING 139 9.4.1 THE EFFECT OF
FINITE LENS APERTURE 141 9.5 PHASE CONTRAST MICROSCOPY 142 9.6 SCANNING
CONFOCAL MICROSCOPY 144 9.6.1 IMAGE FORMATION 144 9.7 OPERATOR ALGEBRA
FOR COMPLEX OPTICAL SYSTEMS 147 10. IMAGING WITH QUASI-MONOCHROMATIC
WAVES 153 10.1 INTRODUCTION 153 10.2 HUBERT TRANSFORM 154 10.3 ANALYTIC
SIGNAL 157 10.4 ANALYTIC SIGNAL REPRESENTATION OF A NONMONOCHROMATIC
WAVE FIELD 161 10.5 QUASI-MONOCHROMATIC, COHERENT, AND INCOHERENT WAVES
162 10.6 DIFFRACTION EFFECTS IN A GENERAL IMAGING SYSTEM 162 10.7
IMAGING WITH QUASI-MONOCHROMATIC WAVES 164 10.7.1 COHERENT IMAGING 165
10.7.2 INCOHERENT IMAGING 166 10.8 FREQUENCY RESPONSE OF A
DIFFRACTION-LIMITED IMAGING SYSTEM 166 10.8.1 COHERENT IMAGING SYSTEM
166 10.8.2 INCOHERENT IMAGING SYSTEM 167 10.9 COMPUTER COMPUTATION OF
THE OPTICAL TRANSFER FUNCTION 171 10.9.1 PRACTICAL CONSIDERATIONS 172
10.10 ABERRATIONS 173 10.10.1 ZERNIKE POLYNOMIALS 174 VIII CONTENTS 11.
OPTICAL DEVICES BASED ON WAVE MODULATION 177 11.1 INTRODUCTION 177 11.2
PHOTOGRAPHIC FILMS AND PLATES 177 11.3 TRANSMITTANCE OF LIGHT BY FILM
179 11.4 MODULATION TRANSFER FUNCTION 182 11.5 BLEACHING 183 11.6
DIFFRACTIVE OPTICS, BINARY OPTICS, AND DIGITAL OPTICS 184 11.7 E-BEAM
LITHOGRAPHY 185 11.7.1 DOE IMPLEMENTATION 187 12. WAVE PROPAGATION IN
INHOMOGENEOUS MEDIA 188 12.1 INTRODUCTION 188 12.2 HELMHOLTZ EQUATION
FOR INHOMOGENEOUS MEDIA 189 12.3 PARAXIAL WAVE EQUATION FOR
INHOMOGENEOUS MEDIA 189 12.4 BEAM PROPAGATION METHOD 190 12.4.1 WAVE
PROPAGATION IN HOMOGENEOUS MEDIUM WITH INDEX H 191 12.4.2 THE VIRTUAL
LENS EFFECT 192 12.5 WAVE PROPAGATION IN A DIRECTIONAL COUPLER 193
12.5.1 A SUMMARY OF COUPLED MODE THEORJFC 193 12.5.2 COMPARISON OF
COUPLED MODE THEORY AND BPM COMPUTATIONS 194 13. HOLOGRAPHY 198 13.1
INTRODUCTION 198 13.2 COHERENT WAVE FRONT RECORDING 199 13.2.1
LEITH-UPATNIEKS HOLOGRAM 201 13.3 TYPES OF HOLOGRAMS 202 13.3.1 FRESNEL
AND FRAUNHOFER HOLOGRAMS 203 13.3.2 IMAGE AND FOURIER HOLOGRAMS 203
13.3.3 VOLUME HOLOGRAMS 203 13.3.4 EMBOSSED HOLOGRAMS 205 13.4 COMPUTER
SIMULATION OF HOLOGRAPHIE RECONSTRUCTION 205 13.5 ANALYSIS OF
HOLOGRAPHIE IMAGING AND MAGNIFICATION 206 13.6 ABERRATIONS 210 14.
APODIZATION, SUPERRESOLUTION, AND RECOVERY OF MISSING INFORMATION 212
14.1 INTRODUCTION 212 14.2 APODIZATION 213 14.2.1 DISCRETE-TIME WINDOWS
215 14.3 TWO-POINT RESOLUTION AND RECOVERY OF SIGNALS 217 14.4
CONTRACTIONS 219 14.4.1 CONTRACTION MAPPING THEOREM 220 14.5 AN
ITERATIVE METHOD OF CONTRACTIONS FOR SIGNAL RECOVERY 221 14.6 ITERATIVE
CONSTRAINED DECONVOLUTION 223 14.7 METHOD OF PROJECTIONS 225 14.8 METHOD
OF PROJECTIONS ONTO CONVEX SETS 227 14.9 GERCHBERG-PAPOULIS (GP)
ALGORITHM 229 14.10 OTHER POCS ALGORITHMS 229 14.11 RESTORATION FROM
PHASE 230 14.12 RECONSTRUCTION FROM A DISCRETIZED PHASE FUNCTION BY
USING THE DFT 232 14.13 GENERALIZED PROJECTIONS 234 14.14 RESTORATION
FROM MAGNITUDE 235 14.14.1 TRAPS AND TUNNELS 237 14.15 IMAGE RECOVERY BY
LEAST SQUARES AND THE GENERALIZED INVERSE 237 14.16 COMPUTATION OF H +
BY SINGULAR VALUE DECOMPOSITION (SVD) 238 14.17 THE STEEPEST DESCENT
ALGORITHM 240 14.18 THE CONJUGATE GRADIENT METHOD 242 DIFFRACTIVE OPTICS
I 244 15.1 INTRODUCTION 244 15.2 LOHMANN METHOD 246 15.3 APPROXIMATIONS
IN THE LOHMANN METHOD 247 15.4 CONSTANT AMPLITUDE LOHMANN METHOD 248
15.5 QUANTIZED LOHMANN METHOD 249 15.6 COMPUTER SIMULATIONS WITH THE
LOHMANN METHOD 250 15.7 A FOURIER METHOD BASED ON HARD-CLIPPING 254 15.8
A SIMPLE ALGORITHM FOR CONSTRUCTION OF 3-D POINT IMAGES 257 15.8.1
EXPERIMENTS 25 9 15.9 THE FAST WEIGHTED ZERO-CROSSING ALGORITHM 261
15.9.1 OFF-AXIS PLANE REFERENCE WAVE 264 15.9.2 EXPERIMENTS 264 15.10
ONE-IMAGE-ONLY HOLOGRAPHY 265 15.10.1 ANALYSIS^OF IMAGE FORMATION 268
15.10.2 EXPERIMENTS 270 15.11 FRESNEL ZONE PLATES 272 DIFFRACTIVE OPTICS
II 275 16.1 INTRODUCTION 275 16.2 VIRTUAL HOLOGRAPHY 275 16.2.1
DETERMINATION OF PHASE 276 16.2.2 APERTURE EFFECTS 278 16.2.3 ANALYSIS
OF IMAGE FORMATION 279 X CONTENTS 16.2.4 INFORMATION CAPACITY,
RESOLUTION, BANDWIDTH, AND REDUNDANCY 282 16.2.5 VOLUME EFFECTS 283
16.2.6 DISTORTIONS DUE TO CHANGE OF WAVELENGTH AND/OR HOLOGRAM SIZE
BETWEEN CONSTRUCTION AND RECONSTRUCTION 284 16.2.7 EXPERIMENTS 285 16.3
THE METHOD OF POCS FOR THE DESIGN OF BINARY DOE 287 16.4 ITERATIVE
INTERLACING TECHNIQUE (IIT) 289 16.4.1 EXPERIMENTS WITH THE IIT 291 16.5
OPTIMAL DECIMATION-IN-FREQUENCY ITERATIVE INTERLACING TECHNIQUE
(ODIFIIT) 293 16.5.1 EXPERIMENTS WITH ODIFIIT 297 16.6 COMBINED
LOHMANN-ODIFIIT METHOD 300 16.6.1 COMPUTER EXPERIMENTS WITH THE
LOHMANN-ODIFIIT METHOD 301 17. COMPUTERIZED IMAGING TECHNIQUES I:
SYNTHETIC APERTURE RADAR 306 17.1 INTRODUCTION 306 17.2 SYNTHETIC
APERTURE RADAR 306 17.3 RANGE RESOLUTION 308 17.4 CHOICE OF PULSE
WAVEFORM 309 17.5 THE MATCHED FILTER 311 17.6 PULSE COMPRESSION BY
MATCHED FILTERING 313 17.7 CROSS-RANGE RESOLUTION 316 17.8 A SIMPLIFIED
THEORY OF SAR IMAGING 317 17.9 IMAGE RECONSTRUCTION WITH FRESNEL
APPROXIMATION 320 17.10 ALGORITHMS FOR DIGITAL IMAGE RECONSTRUCTION 322
17.10.1 SPATIAL FREQUENCY INTERPOLATION 322 18. COMPUTERIZED IMAGING II:
IMAGE RECONSTRUCTION FROM PROJECTIONS 326 18.1 INTRODUCTION 326 18.2 THE
RADON TRANSFORM 326 18.3 THE PROJECTION SLICE THEOREM 328 18.4 THE
INVERSE RADON TRANSFORM 330 18.5 PROPERTIES OF THE RADON TRANSFORM 331
18.6 RECONSTRUCTION OF A SIGNAL FROM ITS PROJECTIONS 332 18.7 THE
FOURIER RECONSTRUCTION METHOD 333 18.8 THE FILTERED-BACKPROJECTION
ALGORITHM 335 CONTENTS XI 19. DENSE WAVELENGTH DIVISION MULTIPLEXING 338
19.1 INTRODUCTION 338 19.2 ARRAY WAVEGUIDE GRAETING 339 19.3 METHOD OF
IRREGULARLY SAMPLED ZERO-CROSSINGS (MISZC) 341 19.3.1 COMPUTATIONAL
METHOD FOR CALCULATING THE CORRECTION TERMS 345 19.3.2 EXTENSION OF
MISZC TO 3-D GEOMETRY 346 19.4 ANALYSIS OF MISZC 347 19.4.1 DISPERSION
ANALYSIS 349 19.4.2 FINITE-SIZED APERTURES 350 19.5 COMPUTER EXPERIMENTS
351 19.5.1 POINT-SOURCE APERTURES 351 19.5.2 LARGE NUMBER OF CHANNELS
353 19.5.3 FINITE-SIZED APERTURES 355 19.5.4 THE METHOD OF CREATING THE
NEGATIVE PHASE 355 19.5.5 ERROR TOLERANCES 356 19.5.6 3-D SIMULATIONS
356 19.5.7 PHASE QUANTIZATION 358 19.6 IMPLEMENTATIONAL ISSUES 359 20.
NUMERICAL METHODS FOR RIGOROUS DIFFRACTION THEORY 361 20.1 INTRODUCTION
361 20.2 BPM BASE D ON FINITE DIFFERENCES 362 20.3 WIDE ANGLE BPM 364
20.4 FINITE DIFFERENCES 367 20.5 FINITE DIFFERENCE TIME DOMAIN METHOD
368 20.5.1 YEE S ALGORITHM 368 20.6 COMPUTER EXPERIMENTS 371 20.7
FOURIER MODAL METHODS 374 APPENDIX A: THE IMPULSE FUNCTION 377 APPENDIX
B: LINEAR VECTOR SPACES 382 APPENDIX C: THE DISCRETE-TIME FOURIER
TRANSFORM, THE DISCRETE FOURIER TRANSFORM AND THE FAST FOURIER TRANSFORM
391 REFERENCES 397 INDEX 403
|
| adam_txt |
DIFFRACTION, FOURIER OPTICS AND IMAGING OKAN K. ERSOY * ICENTENNIAL
BICENTENNIAL WILEY-INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION
CONTENTS PREFACE XIII 1. DIFFRACTION, FOURIER OPTICS AND IMAGING 1 1.1
INTRODUCTION 1 1.2 EXAMPLES OF EMERGING APPLICATIONS WITH GROWING
SIGNIFICANCE 2 1.2.1 DENSE WAVELENGTH DIVISION
MULTIPLEXING/DEMULTIPLEXING (DWDM) 3 1.2.2 OPTICAL AND MICROWAVE DWDM
SYSTEMS 3 1.2.3 DIFFRACTIVE AND SUBWAVELENGTH OPTICAL ELEMENTS 3 1.2.4
NANODIFFRACTIVE DEVICES AND RIGOROUS DIFFRACTION THEORY 4 1.2.5 MODERN
IMAGING TECHNIQUES 4 2. LINEAR SYSTEMS AND TRANSFORMS 6 2.1 INTRODUCTION
6 2.2 LINEAR SYSTEMS AND SHIFT INVARIANCE 7 2.3 CONTINUOUS-SPACE FOURIER
TRANSFORM 10 2.4 EXISTENCE OF FOURIER TRANSFORM 11 2.5 PROPERTIES OF THE
FOURIER TRANSFORM 12 2.6 REAL FOURIER TRANSFORM 18 2.7 AMPLITUDE AND
PHASE SPECTRA 20 2.8 HANKEL TRANSFORMS 21 3. FUNDAMENTALS OF WAVE
PROPAGATION 25 3.1 INTRODUCTION 25 3.2 WAVES 26 3.3 ELECTROMAGNETIC
WAVES 31 3.4 PHASOR REPRESENTATION 33 3.5 WAVE EQUATIONS IN A
CHARGE-FREE MEDIUM 34 3.6 WAVE EQUATIONS IN PHASOR REPRESENTATION IN A
CHARGE-FREE MEDIUM 36 3.7 PLANE EM WAVES 37 4. SCALAR DIFFRACTION THEORY
41 4.1 INTRODUCTION 41 4.2 HELMHOLTZ EQUATION 42 CONTENTS 4.3 ANGULAR
SPECTRUM OF PLANE WAVES 44 4.4 FAST FOURIER TRANSFORM (FFT)
IMPLEMENTATION OF THE ANGULAR SPECTRUM OF PLANE WAVES 47 4.5 THE
KIRCHOFF THEORY OF DIFFRACTION 53 4.5.1 KIRCHOFF THEORY OF DIFFRACTION
55 4.5.2 FRESNEL-KIRCHOFF DIFFRACTION FORMULA 56 4.6 THE
RAYLEIGH-SOMMERFELD THEORY OF DIFFRACTION 57 4.6.1 THE KIRCHHOFF
APPROXIMATION 59 4.6.2 THE SECOND RAYLEIGH-SOMMERFELD DIFFRACTION
FORMULA 59 4.7 ANOTHER DERIVATION OF THE FIRST RAYLEIGH-SOMMERFELD
DIFFRACTION INTEGRAL 59 4.8 THE RAYLEIGH-SOMMERFELD DIFFRACTION INTEGRAL
FOR NONMONOCHROMATIC WAVES 61 FRESNEL AND FRAUNHOFER APPROXIMATIONS 63
5.1 INTRODUCTION 63 5.2 DIFFRACTION IN THE FRESNEL REGION 64 5.3 FFT
IMPLEMENTATION OF FRESNEL DIFFRACTION 72 5.4 PARAXIAL WAVE EQUATION 73
5.5 DIFFRACTION IN THE FRAUNHOFER REGION 74 5.6 DIFFRACTION GRAETINGS 76
5.7 FRAUNHOFER DIFFRACTION BY A SINUSOIDAL AMPLITUDE GRAETING 78 5.8
FRESNEL DIFFRACTION BY A SINUSOIDAL AMPLITUDE GRAETING 79 5.9 FRAUNHOFER
DIFFRACTION WITH A SINUSOIDAL PHASE GRAETING 81 5.10 DIFFRACTION GRAETINGS
MADE OF SLITS 82 INVERSE DIFFRACTION 84 6.1 INTRODUCTION 84 6.2
INVERSION OF THE FRESNEL AND FRAUNHOFER REPRESENTATIONS 84 6.3 INVERSION
OF THE ANGULAR SPECTRUM REPRESENTATION 85 6.4 ANALYSIS 86 WIDE-ANGLE
NEAR AND FAR FIELD APPROXIMATIONS FOR SCALAR DIFFRACTION 90 7.1
INTRODUCTION 90 7.2 A REVIEW OF FRESNEL AND FRAUNHOFER APPROXIMATIONS 91
7.3 THE RADIAL SET OF APPROXIMATIONS 93 7.4 HIGHER ORDER IMPROVEMENTS
AND ANALYSIS 95 7.5 INVERSE DIFFRACTION AND ITERATIVE OPTIMIZATION 96
7.6 NUMERICAL EXAMPLES 97 7.7 MORE ACCURATE APPROXIMATIONS 110 7.8
CONCLUSIONS 111 CONTENTS VH 8. GEOMETRICAL OPTICS 112 8.1 INTRODUCTION
112 8.2 PROPAGATION OF RAYS 112 8.3 THE RAY EQUATIONS 117 8.4 THE
EIKONAL EQUATION 118 8.5 LOCAL SPATIAL FREQUENCIES AND RAYS 120 8.6
MATRIX REPRESENTATION OF MERIDIONAL RAYS 123 8.7 THICK LENSES 130 8.8
ENTRANCE AND EXIT PUPILS OF AN OPTICAL SYSTEM 132 9. FOURIER TRANSFORMS
AND IMAGING WITH COHERENT OPTICAL SYSTEMS 134 9.1 INTRODUCTION 134 9.2
PHASE TRANSFORMATION WITH A THIN LENS 134 9.3 FOURIER TRANSFORMS WITH
LENSES 136 9.3.1 WAVE FIELD INCIDENT ON THE LENS 136 9.3.2 WAVE FIELD TO
THE LEFT OF THE LENS 137 9.3.3 WAVE FIELD TO THE RIGHT OF THE LENS 138
9.4 IMAGE FORMATION AS 2-D LINEAR FILTERING 139 9.4.1 THE EFFECT OF
FINITE LENS APERTURE 141 9.5 PHASE CONTRAST MICROSCOPY 142 9.6 SCANNING
CONFOCAL MICROSCOPY 144 9.6.1 IMAGE FORMATION 144 9.7 OPERATOR ALGEBRA
FOR COMPLEX OPTICAL SYSTEMS 147 10. IMAGING WITH QUASI-MONOCHROMATIC
WAVES 153 10.1 INTRODUCTION 153 10.2 HUBERT TRANSFORM 154 10.3 ANALYTIC
SIGNAL 157 10.4 ANALYTIC SIGNAL REPRESENTATION OF A NONMONOCHROMATIC
WAVE FIELD 161 10.5 QUASI-MONOCHROMATIC, COHERENT, AND INCOHERENT WAVES
162 10.6 DIFFRACTION EFFECTS IN A GENERAL IMAGING SYSTEM 162 10.7
IMAGING WITH QUASI-MONOCHROMATIC WAVES 164 10.7.1 COHERENT IMAGING 165
10.7.2 INCOHERENT IMAGING 166 10.8 FREQUENCY RESPONSE OF A
DIFFRACTION-LIMITED IMAGING SYSTEM 166 10.8.1 COHERENT IMAGING SYSTEM
166 10.8.2 INCOHERENT IMAGING SYSTEM 167 10.9 COMPUTER COMPUTATION OF
THE OPTICAL TRANSFER FUNCTION 171 10.9.1 PRACTICAL CONSIDERATIONS 172
10.10 ABERRATIONS 173 10.10.1 ZERNIKE POLYNOMIALS 174 VIII CONTENTS 11.
OPTICAL DEVICES BASED ON WAVE MODULATION 177 11.1 INTRODUCTION 177 11.2
PHOTOGRAPHIC FILMS AND PLATES 177 11.3 TRANSMITTANCE OF LIGHT BY FILM
179 11.4 MODULATION TRANSFER FUNCTION 182 11.5 BLEACHING 183 11.6
DIFFRACTIVE OPTICS, BINARY OPTICS, AND DIGITAL OPTICS 184 11.7 E-BEAM
LITHOGRAPHY 185 11.7.1 DOE IMPLEMENTATION 187 12. WAVE PROPAGATION IN
INHOMOGENEOUS MEDIA 188 12.1 INTRODUCTION 188 12.2 HELMHOLTZ EQUATION
FOR INHOMOGENEOUS MEDIA 189 12.3 PARAXIAL WAVE EQUATION FOR
INHOMOGENEOUS MEDIA 189 12.4 BEAM PROPAGATION METHOD 190 12.4.1 WAVE
PROPAGATION IN HOMOGENEOUS MEDIUM WITH INDEX H 191 12.4.2 THE VIRTUAL
LENS EFFECT 192 12.5 WAVE PROPAGATION IN A DIRECTIONAL COUPLER 193
12.5.1 A SUMMARY OF COUPLED MODE THEORJFC 193 12.5.2 COMPARISON OF
COUPLED MODE THEORY AND BPM COMPUTATIONS 194 13. HOLOGRAPHY 198 13.1
INTRODUCTION 198 13.2 COHERENT WAVE FRONT RECORDING 199 13.2.1
LEITH-UPATNIEKS HOLOGRAM 201 13.3 TYPES OF HOLOGRAMS 202 13.3.1 FRESNEL
AND FRAUNHOFER HOLOGRAMS 203 13.3.2 IMAGE AND FOURIER HOLOGRAMS 203
13.3.3 VOLUME HOLOGRAMS 203 13.3.4 EMBOSSED HOLOGRAMS 205 13.4 COMPUTER
SIMULATION OF HOLOGRAPHIE RECONSTRUCTION 205 13.5 ANALYSIS OF
HOLOGRAPHIE IMAGING AND MAGNIFICATION 206 13.6 ABERRATIONS 210 14.
APODIZATION, SUPERRESOLUTION, AND RECOVERY OF MISSING INFORMATION 212
14.1 INTRODUCTION 212 14.2 APODIZATION 213 14.2.1 DISCRETE-TIME WINDOWS
215 14.3 TWO-POINT RESOLUTION AND RECOVERY OF SIGNALS 217 14.4
CONTRACTIONS 219 14.4.1 CONTRACTION MAPPING THEOREM 220 14.5 AN
ITERATIVE METHOD OF CONTRACTIONS FOR SIGNAL RECOVERY 221 14.6 ITERATIVE
CONSTRAINED DECONVOLUTION 223 14.7 METHOD OF PROJECTIONS 225 14.8 METHOD
OF PROJECTIONS ONTO CONVEX SETS 227 14.9 GERCHBERG-PAPOULIS (GP)
ALGORITHM 229 14.10 OTHER POCS ALGORITHMS 229 14.11 RESTORATION FROM
PHASE 230 14.12 RECONSTRUCTION FROM A DISCRETIZED PHASE FUNCTION BY
USING THE DFT 232 14.13 GENERALIZED PROJECTIONS 234 14.14 RESTORATION
FROM MAGNITUDE 235 14.14.1 TRAPS AND TUNNELS 237 14.15 IMAGE RECOVERY BY
LEAST SQUARES AND THE GENERALIZED INVERSE 237 14.16 COMPUTATION OF H +
BY SINGULAR VALUE DECOMPOSITION (SVD) 238 14.17 THE STEEPEST DESCENT
ALGORITHM 240 14.18 THE CONJUGATE GRADIENT METHOD 242 DIFFRACTIVE OPTICS
I 244 15.1 INTRODUCTION 244 15.2 LOHMANN METHOD 246 15.3 APPROXIMATIONS
IN THE LOHMANN METHOD 247 15.4 CONSTANT AMPLITUDE LOHMANN METHOD 248
15.5 QUANTIZED LOHMANN METHOD 249 15.6 COMPUTER SIMULATIONS WITH THE
LOHMANN METHOD 250 15.7 A FOURIER METHOD BASED ON HARD-CLIPPING 254 15.8
A SIMPLE ALGORITHM FOR CONSTRUCTION OF 3-D POINT IMAGES 257 15.8.1
EXPERIMENTS 25 9 15.9 THE FAST WEIGHTED ZERO-CROSSING ALGORITHM 261
15.9.1 OFF-AXIS PLANE REFERENCE WAVE 264 15.9.2 EXPERIMENTS 264 15.10
ONE-IMAGE-ONLY HOLOGRAPHY 265 15.10.1 ANALYSIS^OF IMAGE FORMATION 268
15.10.2 EXPERIMENTS 270 15.11 FRESNEL ZONE PLATES 272 DIFFRACTIVE OPTICS
II 275 16.1 INTRODUCTION 275 16.2 VIRTUAL HOLOGRAPHY 275 16.2.1
DETERMINATION OF PHASE 276 16.2.2 APERTURE EFFECTS 278 16.2.3 ANALYSIS
OF IMAGE FORMATION 279 X CONTENTS 16.2.4 INFORMATION CAPACITY,
RESOLUTION, BANDWIDTH, AND REDUNDANCY 282 16.2.5 VOLUME EFFECTS 283
16.2.6 DISTORTIONS DUE TO CHANGE OF WAVELENGTH AND/OR HOLOGRAM SIZE
BETWEEN CONSTRUCTION AND RECONSTRUCTION 284 16.2.7 EXPERIMENTS 285 16.3
THE METHOD OF POCS FOR THE DESIGN OF BINARY DOE 287 16.4 ITERATIVE
INTERLACING TECHNIQUE (IIT) 289 16.4.1 EXPERIMENTS WITH THE IIT 291 16.5
OPTIMAL DECIMATION-IN-FREQUENCY ITERATIVE INTERLACING TECHNIQUE
(ODIFIIT) 293 16.5.1 EXPERIMENTS WITH ODIFIIT 297 16.6 COMBINED
LOHMANN-ODIFIIT METHOD 300 16.6.1 COMPUTER EXPERIMENTS WITH THE
LOHMANN-ODIFIIT METHOD 301 17. COMPUTERIZED IMAGING TECHNIQUES I:
SYNTHETIC APERTURE RADAR 306 17.1 INTRODUCTION 306 17.2 SYNTHETIC
APERTURE RADAR 306 17.3 RANGE RESOLUTION 308 17.4 CHOICE OF PULSE
WAVEFORM 309 17.5 THE MATCHED FILTER 311 17.6 PULSE COMPRESSION BY
MATCHED FILTERING 313 17.7 CROSS-RANGE RESOLUTION 316 17.8 A SIMPLIFIED
THEORY OF SAR IMAGING 317 17.9 IMAGE RECONSTRUCTION WITH FRESNEL
APPROXIMATION 320 17.10 ALGORITHMS FOR DIGITAL IMAGE RECONSTRUCTION 322
17.10.1 SPATIAL FREQUENCY INTERPOLATION 322 18. COMPUTERIZED IMAGING II:
IMAGE RECONSTRUCTION FROM PROJECTIONS 326 18.1 INTRODUCTION 326 18.2 THE
RADON TRANSFORM 326 18.3 THE PROJECTION SLICE THEOREM 328 18.4 THE
INVERSE RADON TRANSFORM 330 18.5 PROPERTIES OF THE RADON TRANSFORM 331
18.6 RECONSTRUCTION OF A SIGNAL FROM ITS PROJECTIONS 332 18.7 THE
FOURIER RECONSTRUCTION METHOD 333 18.8 THE FILTERED-BACKPROJECTION
ALGORITHM 335 CONTENTS XI 19. DENSE WAVELENGTH DIVISION MULTIPLEXING 338
19.1 INTRODUCTION 338 19.2 ARRAY WAVEGUIDE GRAETING 339 19.3 METHOD OF
IRREGULARLY SAMPLED ZERO-CROSSINGS (MISZC) 341 19.3.1 COMPUTATIONAL
METHOD FOR CALCULATING THE CORRECTION TERMS 345 19.3.2 EXTENSION OF
MISZC TO 3-D GEOMETRY 346 19.4 ANALYSIS OF MISZC 347 19.4.1 DISPERSION
ANALYSIS 349 19.4.2 FINITE-SIZED APERTURES 350 19.5 COMPUTER EXPERIMENTS
351 19.5.1 POINT-SOURCE APERTURES 351 19.5.2 LARGE NUMBER OF CHANNELS
353 19.5.3 FINITE-SIZED APERTURES 355 19.5.4 THE METHOD OF CREATING THE
NEGATIVE PHASE 355 19.5.5 ERROR TOLERANCES 356 19.5.6 3-D SIMULATIONS
356 19.5.7 PHASE QUANTIZATION 358 19.6 IMPLEMENTATIONAL ISSUES 359 20.
NUMERICAL METHODS FOR RIGOROUS DIFFRACTION THEORY 361 20.1 INTRODUCTION
361 20.2 BPM BASE D ON FINITE DIFFERENCES 362 20.3 WIDE ANGLE BPM 364
20.4 FINITE DIFFERENCES 367 20.5 FINITE DIFFERENCE TIME DOMAIN METHOD
368 20.5.1 YEE'S ALGORITHM 368 20.6 COMPUTER EXPERIMENTS 371 20.7
FOURIER MODAL METHODS 374 APPENDIX A: THE IMPULSE FUNCTION 377 APPENDIX
B: LINEAR VECTOR SPACES 382 APPENDIX C: THE DISCRETE-TIME FOURIER
TRANSFORM, THE DISCRETE FOURIER TRANSFORM AND THE FAST FOURIER TRANSFORM
391 REFERENCES 397 INDEX 403 |
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| ctrlnum | (OCoLC)70673301 (DE-599)BVBBV022497134 |
| dewey-full | 535/.42 |
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| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535/.42 |
| dewey-search | 535/.42 |
| dewey-sort | 3535 242 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| id | DE-604.BV022497134 |
| illustrated | Illustrated |
| index_date | 2024-07-02T17:53:50Z |
| indexdate | 2024-07-09T20:58:53Z |
| institution | BVB |
| isbn | 9780471238164 0471238163 |
| language | English |
| lccn | 2006048263 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015704245 |
| oclc_num | 70673301 |
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| owner | DE-703 DE-11 DE-898 DE-BY-UBR DE-29T |
| owner_facet | DE-703 DE-11 DE-898 DE-BY-UBR DE-29T |
| physical | xvi, 413 p. ill. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in pure and applied optics |
| spelling | Ersoy, Okan K. Verfasser aut Diffraction, fourier optics, and imaging Okan K. Ersoy Hoboken, N.J. Wiley 2007 xvi, 413 p. ill. txt rdacontent n rdamedia nc rdacarrier Wiley series in pure and applied optics Includes bibliographical references (p. 397-402) and index Diffraction Fourier, Optique de Imagerie (Technique) Traitement d'images - Mathématiques Fourier transform optics Imaging systems Fourier-Optik (DE-588)4155108-4 gnd rswk-swf Beugung (DE-588)4145094-2 gnd rswk-swf Beugung (DE-588)4145094-2 s DE-604 Fourier-Optik (DE-588)4155108-4 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015704245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ersoy, Okan K. Diffraction, fourier optics, and imaging Diffraction Fourier, Optique de Imagerie (Technique) Traitement d'images - Mathématiques Fourier transform optics Imaging systems Fourier-Optik (DE-588)4155108-4 gnd Beugung (DE-588)4145094-2 gnd |
| subject_GND | (DE-588)4155108-4 (DE-588)4145094-2 |
| title | Diffraction, fourier optics, and imaging |
| title_auth | Diffraction, fourier optics, and imaging |
| title_exact_search | Diffraction, fourier optics, and imaging |
| title_exact_search_txtP | Diffraction, fourier optics, and imaging |
| title_full | Diffraction, fourier optics, and imaging Okan K. Ersoy |
| title_fullStr | Diffraction, fourier optics, and imaging Okan K. Ersoy |
| title_full_unstemmed | Diffraction, fourier optics, and imaging Okan K. Ersoy |
| title_short | Diffraction, fourier optics, and imaging |
| title_sort | diffraction fourier optics and imaging |
| topic | Diffraction Fourier, Optique de Imagerie (Technique) Traitement d'images - Mathématiques Fourier transform optics Imaging systems Fourier-Optik (DE-588)4155108-4 gnd Beugung (DE-588)4145094-2 gnd |
| topic_facet | Diffraction Fourier, Optique de Imagerie (Technique) Traitement d'images - Mathématiques Fourier transform optics Imaging systems Fourier-Optik Beugung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015704245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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