Simulating Fourier Optics Using Mathematica:
This book introduces the reader to many aspects of Fourier optics, using Mathematica as a simulation tool. A brief discussion of Mathematica’s symbolic and numerical computation capabilities is introduced. Starting from the wave equation, several simulations of Fresnel and Fraunhofer diffraction pro...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Bellingham
SPIE Press
[2024]
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| Online-Zugang: | DE-29 URL des Erstveröffentlichers |
| Zusammenfassung: | This book introduces the reader to many aspects of Fourier optics, using Mathematica as a simulation tool. A brief discussion of Mathematica’s symbolic and numerical computation capabilities is introduced. Starting from the wave equation, several simulations of Fresnel and Fraunhofer diffraction problems are treated symbolically. Diffraction by an arbitrary linear optical system using ABCD matrices includes several symbolic examples. Recognizing that many diffraction problems cannot be solved symbolically, the discrete Fourier transform (DFT) is introduced and used to calculate many diffraction problems numerically. Three different numerical methods are used: numerical convolution, the Fresnel transform, and the Fresnel transfer function, with examples for each. Simulations of imaging with both coherent and incoherent light are covered both symbolically and numerically. Simulations of Gabor holography, Leith–Upatnieks holography, and phase-stepping holography are treated numerically. Finally, simulations of spatial filtering by manipulating the Fourier spectrum of an object are presented. |
| Beschreibung: | 1 Online-Ressource (vi, 103 Seiten) |
| ISBN: | 9781510682375 |
| DOI: | 10.1117/3.100316 |
Internformat
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Datensatz im Suchindex
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| id | DE-604.BV050161840 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-11T11:01:43Z |
| institution | BVB |
| isbn | 9781510682375 |
| language | English |
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| psigel | ZDB-50-SPI ZDB-50-SPI UER_Paketkauf_2025 |
| publishDate | 2024 |
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| publisher | SPIE Press |
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| spelling | Goodman, Joseph W. 1936- Verfasser (DE-588)138261547 aut Simulating Fourier Optics Using Mathematica Joseph W. Goodman Simulating Fourier Optics Using Mathematica Bellingham SPIE Press [2024] 1 Online-Ressource (vi, 103 Seiten) txt rdacontent c rdamedia cr rdacarrier This book introduces the reader to many aspects of Fourier optics, using Mathematica as a simulation tool. A brief discussion of Mathematica’s symbolic and numerical computation capabilities is introduced. Starting from the wave equation, several simulations of Fresnel and Fraunhofer diffraction problems are treated symbolically. Diffraction by an arbitrary linear optical system using ABCD matrices includes several symbolic examples. Recognizing that many diffraction problems cannot be solved symbolically, the discrete Fourier transform (DFT) is introduced and used to calculate many diffraction problems numerically. Three different numerical methods are used: numerical convolution, the Fresnel transform, and the Fresnel transfer function, with examples for each. Simulations of imaging with both coherent and incoherent light are covered both symbolically and numerically. Simulations of Gabor holography, Leith–Upatnieks holography, and phase-stepping holography are treated numerically. Finally, simulations of spatial filtering by manipulating the Fourier spectrum of an object are presented. Erscheint auch als Druck-Ausgabe 9781510682368 https://doi.org/10.1117/3.100316 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Goodman, Joseph W. 1936- Simulating Fourier Optics Using Mathematica |
| title | Simulating Fourier Optics Using Mathematica |
| title_alt | Simulating Fourier Optics Using Mathematica |
| title_auth | Simulating Fourier Optics Using Mathematica |
| title_exact_search | Simulating Fourier Optics Using Mathematica |
| title_full | Simulating Fourier Optics Using Mathematica Joseph W. Goodman |
| title_fullStr | Simulating Fourier Optics Using Mathematica Joseph W. Goodman |
| title_full_unstemmed | Simulating Fourier Optics Using Mathematica Joseph W. Goodman |
| title_short | Simulating Fourier Optics Using Mathematica |
| title_sort | simulating fourier optics using mathematica |
| url | https://doi.org/10.1117/3.100316 |
| work_keys_str_mv | AT goodmanjosephw simulatingfourieropticsusingmathematica |