Computational fourier optics: a MATLAB tutorial
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bellingham
SPIE Press
2011
|
| Schriftenreihe: | Tutorial texts in optical engineering
89 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 232 S. Ill., graph. Darst. |
| ISBN: | 9780819482044 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804149694974132224 |
|---|---|
| adam_text | Titel: Computational Fourier optics
Autor: Voelz, David
Jahr: 2011
Contents
Preface..................................................................................................xiii
Chapter 1 Analytic Fourier Theory Review..........................................1
1.1 A Little History and Purpose....................................................................1
1.2 The Realm of Computational Fourier Optics............................................2
1.3 Fourier Transform Definitions and Existence...........................................3
1.4 Theorems and Separability.......................................................................3
1.5 Basic Functions and Transforms...............................................................5
1.6 Linear and Space-Invariant Systems.........................................................7
1.7 Exercises.................................................................................................10
1.8 References...............................................................................................12
Chapter 2 Sampled Functions and the Discrete Fourier Transform 13
2.1 Sampling and the Shannon-Nyquist Sampling Theorem.......................13
2.2 Effective Bandwidth...............................................................................15
2.3 Discrete Fourier Transform from the Continuous Transform.................18
2.4 Coordinates, Indexing, Centering, and Shifting......................................20
2.5 Periodic Extension..................................................................................21
2.6 Periodic Convolution..............................................................................24
2.7 Exercises.................................................................................................26
2.8 References...............................................................................................27
Chapter 3 MATLAB Programming of Functions, Vectors, Arrays,
and Fourier Transforms...................................................................29
3.1 Defining Functions.................................................................................29
3.2 Creating Vectors.....................................................................................32
3.3 Shift for FFT...........................................................................................34
3.4 Computing the FFT and Displaying Results...........................................36
3.5 Comparison with Analytic Results.........................................................38
3.6 Convolution Example.............................................................................39
3.7 Two Dimensions.....................................................................................41
3.8 Miscellaneous Hints................................................................................43
3.9 Exercises.................................................................................................45
IX
x_______________________________________________________________Contents
Chapter 4 Scalar Diffraction and Propagation Solutions ................47
4.1 Scalar Diffraction....................................................................................47
4.2 Monochromatic Fields and Irradiance....................................................48
4.3 Optical Path Length and Field Phase Representation.............................50
4.4 Analytic Diffraction Solutions................................................................51
4.4.1 Rayleigh-Sommerfeld solution 1...................................................51
4.4.2 Fresnel approximation...................................................................53
4.4.3 Fraunhofer approximation.............................................................55
4.5 Fraunhofer Diffraction Example.............................................................56
4.6 Exercises.................................................................................................59
4.7 References...............................................................................................61
Chapter 5 Propagation Simulation.....................................................63
5.1 Fresnel Transfer Function (TF) Propagator............................................63
5.2 Fresnel Impulse Response (IR) Propagator............................................64
5.3 Square Beam Example............................................................................66
5.4 Fresnel Propagation Sampling................................................................69
5.4.1 Square beam example results and artifacts....................................69
5.4.2 Sampling regimes and criteria.......................................................72
5.4.3 Criteria applied to square beam example......................................74
5.4.4 Propagator accuracy......................................................................75
5.4.5 Sampling decisions........................................................................77
5.4.6 Split-step simulation, windowing, and expanding grids................78
5.5 Fraunhofer Propagation..........................................................................79
5.6 Coding Efficiency...................................................................................83
5.7 Exercises.................................................................................................83
5.8 References...............................................................................................86
Chapter 6 Transmittance Functions, Lenses, and Gratings.............89
6.1 Tilt...........................................................................................................89
6.2 Focus.......................................................................................................93
6.3 Lens.........................................................................................................96
6.4 Gratings and Periodic Functions.............................................................98
6.4.1 Cosine magnitude example...........................................................99
6.4.2 Square-wave magnitude example................................................102
6.4.3 One-dimensional model..............................................................105
6.4.4 Periodic model.............................................................................106
6.5 Exercises...............................................................................................108
6.6 References.............................................................................................Ill
Chapter 7 Imaging and Diffraction-Limited Imaging Simulation ... 113
7.1 Geometrical Imaging Concepts.............................................................113
7.2 Coherent Imaging.................................................................................116
Contents__________________________________ xi
7.2.1 Coherent imaging theory.............................................................116
7.2.2 Coherent transfer function examples...........................................117
7.2.3 Diffraction-limited coherent imaging simulation........................119
7.2.4 Rough object...............................................................................124
7.3 Incoherent Imaging...............................................................................127
7.3.1 Incoherent imaging theory...........................................................127
7.3.2 Optical transfer function examples..............................................128
7.3.3 Diffraction-limited incoherent imaging simulation.....................129
7.4 Exercises...............................................................................................132
7.5 References.............................................................................................139
Chapter 8 Wavefront Aberrations.....................................................141
8.1 Wavefront Optical Path Difference......................................................141
8.2 Seidel Polynomials...............................................................................142
8.2.1 Definition and primary aberrations.............................................142
8.2.2 MATLAB function......................................................................144
8.3 Pupil and Transfer Functions................................................................146
8.3.1 Pupil function..............................................................................146
8.3.2 Imaging transfer functions...........................................................147
8.4 Image Quality.......................................................................................147
8.4.1 Point spread function...................................................................147
8.4.2 Modulation transfer function.......................................................148
8.5 Lens Example?PSF and MTF.............................................................148
8.6 Wavefront Sampling.............................................................................153
8.7 Superposition Imaging Example...........................................................157
8.7.1 Image plane PSF map..................................................................157
8.7.2 Image simulation.........................................................................160
8.7.3 Practical image simulation..........................................................163
8.8 Exercises...............................................................................................163
8.9 References.............................................................................................168
Chapter 9 Partial Coherence Simulation..........................................169
9.1 Partial Temporal Coherence.................................................................170
9.1.1 Quasi-monochromatic light.........................................................170
9.1.2 Partial temporal coherence simulation approach.........................172
9.1.3 Partial temporal coherence example............................................173
9.2 Partial Spatial Coherence......................................................................177
9.2.1 Stochastic transmission screen....................................................177
9.2.2 Partial spatial coherence simulation approach............................178
9.2.3 Partial spatial coherence example...............................................182
9.3 Reducibility, Number of Spectral Components, and Phase Screens.....186
9.4 Exercises...............................................................................................187
9.5 References.............................................................................................189
xii______________________________________________________________Contents
Appendix A Fresnel Propagator Chirp Sampling............................191
A.l Fresnel Transfer Function Sampling....................................................191
A.l.l Oversampled transfer function.................................................192
A.l.2 Critically sampled transfer function.........................................194
A.1.3 Undersampled transfer function...............................................194
A.2 Fresnel Impulse Response Function Sampling....................................195
A.2.1 Undersampled impulse response..............................................196
A.2.2 Critically sampled impulse response........................................196
A.2.3 Oversampled impulse response................................................197
A.3 Summary..............................................................................................198
A.4 References............................................................................................198
Appendix B Fresnel Two-Step Propagator......................................199
B.l Approach..............................................................................................199
B.2 Sampling Considerations.....................................................................202
B.2.1 Similar side lengths....................................................................203
B.2.2 Significantly different side lengths............................................203
B.2.3 Comments and recommendations..............................................204
B.3 MATLAB Code...................................................................................204
B.4 References............................................................................................205
Appendix C MATLAB Function Listings..........................................207
C.l Circle....................................................................................................207
C.2 Jinc.......................................................................................................207
C.3 Rectangle..............................................................................................207
C.4 Triangle................................................................................................208
C.5 Unit Sample Comb ...........................................................................208
C.6 Unit Sample Delta ............................................................................208
Appendix D Exercise Answers and Results....................................209
D.l Chapter 1.............................................................................................209
D.2 Chapter 2.............................................................................................210
D.3 Chapter 3.............................................................................................211
D.4 Chapter 4.............................................................................................212
D.5 Chapter 5.............................................................................................214
D.6 Chapter 6.............................................................................................217
D.7 Chapter 7.............................................................................................220
D.8 Chapter 8.............................................................................................223
D.9 Chapter 9.............................................................................................225
Index.....................................................................................................229
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| title | Computational fourier optics a MATLAB tutorial |
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| title_full | Computational fourier optics a MATLAB tutorial David Voeltz |
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