Principles of biophotonics. Volume 1, Linear systems and the Fourier transform in optics / Gabriel Popescu.

Format:

Book

Author/Creator:

Popescu, Gabriel, 1971- author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP (Series). Release 6.

IOP expanding physics.

IPEM-IOP series in physics and engineering in medicine and biology.

[IOP release 6]

IOP expanding physics, 2053-2563

IPEM-IOP series in physics and engineering in medicine and biology

Language:

English

Subjects (All):

Optical instrumnents.

Biophotometry.

Optical Imaging--methods.

Molecular Imaging--methods.

Microscopy--methods.

Optics and Photonics--methods.

Medical Subjects:

Optical Imaging--methods.

Molecular Imaging--methods.

Microscopy--methods.

Optics and Photonics--methods.

Physical Description:

1 online resource (various pagings) : illustrations (some color).

Edition:

1st ed.

Other Title:

Principles of Biophotonics, Volume 1

Linear systems and the Fourier transform in optics.

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Biography/History:

Gabriel Popescu received his PhD in optics from the School of Optics/ CREOL (now the College of Optics and Photonics), University of Central Florida in 2002. He and is currently a professor of electrical and computer engineering at the University of Illinois at Urbana-Champaign, where he directs the Quantitative Light Imaging Laboratory (QLI Lab) at the Beckman Institute for Advanced Science and Technology.

Summary:

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.

Contents:

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

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

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

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

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

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

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

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

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

11. The Laplace transform

11.1. Definition and properties

11.2. Inverse Laplace transform

11.3. Problems

Appendices. A. Complex variables

B. Vector algebra

C. Useful trigonometric formulas

D. Useful integrals.

Notes:

"Version: 20181201"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on January 16, 2019).

Description based on publisher supplied metadata and other sources.

ISBN:

9780750316408

0750316403

9780750316415

0750316411

OCLC:

1082881989