UID:
almafu_9959028192502883
Umfang:
1 online resource (various pagings) :
,
illustrations (some color).
Ausgabe:
1st ed.
ISBN:
9780750316408
,
0750316403
,
9780750316415
,
0750316411
Serie:
[IOP release 6]
Inhalt:
Principles of Biophotonics: Linear systems and the Fourier transform in optics aims to teach students, instructors and professionals the basis of optical techniques for biological investigation. It is a textbook for experimentalists who are active at the interface between biology, medicine and optics (i.e. biological optics, biomedical optics, biophotonics, etc), and presents the unifying optics principles employed in this broad and interdisciplinary field. In the format of a classical textbook, this work contains both the underlying theory of biological optics and applications to real laboratory problems via exercises and homework. While keeping mathematical rigor, the theory is presented with stress on the physical phenomena and heavy use of the linear systems approach and frequency domain representation. The book emphasizes the similarity between various techniques, thus reducing the number of governing concepts as much as possible. Part of IPEM-IOP Series in Physics and Engineering in Medicine and Biology.
Anmerkung:
"Version: 20181201"--Title page verso.
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1. Superposition principle -- 1.1. Green's function method -- 1.2. Fourier transform method -- 1.3. Problems
,
2. Linear systems -- 2.1. Linearity -- 2.2. Shift invariance -- 2.3. Causality -- 2.4. Stability -- 2.5. Problems
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3. Spatial and temporal frequencies -- 3.1. Monochromatic plane waves -- 3.2. e-i([omega]t-k[product operator]r) as an eigenfunction of a LSI system -- 3.3. Problems
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4. 1D Fourier transform -- 4.1. Definition and conditions of existence -- 4.2. Significance of the spectral phase -- 4.3. Properties of the 1D Fourier transform -- 4.4. Common 1D Fourier transform pairs -- 4.5. Problems
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5. 2D Fourier transform -- 5.1. Definition -- 5.2. Significance of the spectral phase -- 5.3. Properties specific to 2D functions -- 5.4. Extension of 1D properties -- 5.5. Common 2D transform pairs -- 5.6. Polar coordinates: the Hankel transform -- 5.7. Common Hankel transform pairs -- 5.8. Fourier slice theorem -- 5.9. Problems
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6. 3D Fourier transform -- 6.1. Definition -- 6.2. Extension of 1D properties -- 6.3. Significance of the spectral phase -- 6.4. Cylindrical coordinates -- 6.5. Spherical coordinates -- 6.6. Common 3D Fourier transform pairs -- 6.7. Fourier slice theorem -- 6.8. Problems
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7. Complex signals -- 7.1. Imaginary signals -- 7.2. Real signals -- 7.3. Odd and even signals -- 7.4. Frequency single-sided signals: complex analytic signals -- 7.5. Time (space) single-sided signals: causality and the Kramers-Kronig relationship -- 7.6. Problems
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8. The uncertainty relation -- 8.1. Spatial and temporal spread of optical fields -- 8.2. Proof of the uncertainty relation -- 8.3. Effects of chirp on the pulse duration -- 8.4. Effects of aberrations on spatial resolution -- 8.5. Problems
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9. Linear systems with random inputs -- 9.1. Random signals -- 9.2. Stationarity and statistical homogeneity -- 9.3. Power spectrum and the Wiener-Khinchin theorem -- 9.4. Ergodicity -- 9.5. Output spectra and correlations -- 9.6. Stationary inputs -- 9.7. Problems
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10. Fourier transform of vector-valued functions -- 10.1. Definition and properties -- 10.2. Maxwell's equations in the frequency domain -- 10.3. Vector wave equation -- 10.4. Scalar wave approximation -- 10.5. Problems
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11. The Laplace transform -- 11.1. Definition and properties -- 11.2. Inverse Laplace transform -- 11.3. Problems
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Appendices. A. Complex variables -- B. Vector algebra -- C. Useful trigonometric formulas -- D. Useful integrals.
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Also available in print.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Weitere Ausg.:
ISBN 9780750319522
Weitere Ausg.:
ISBN 0750319526
Weitere Ausg.:
ISBN 9780750316392
Weitere Ausg.:
ISBN 075031639X
Sprache:
Englisch
DOI:
10.1088/2053-2563/aae121
URL:
https://iopscience.iop.org/book/978-0-7503-1641-5
Bookmarklink
