Digital holography / Jun-chang Li, Pascal Picart.

Format:

Book

Author/Creator:

Picart, Pascal.

Contributor:

Li, Junchang, 1945-

Series:

ISTE

Language:

English

Subjects (All):

Holography--Mathematics.

Holography.

Holography--Data processing.

Image processing--Digital techniques.

Image processing.

Physical Description:

1 online resource (378 p.)

Edition:

1st ed.

Place of Publication:

London : ISTE ; Hoboken, N.J. : Wiley, 2012.

Language Note:

English

Summary:

This book presents a substantial description of the principles and applications of digital holography.The first part of the book deals with mathematical basics and the linear filtering theory necessary to approach the topic. The next part describes the fundamentals of diffraction theory and exhaustively details the numerical computation of diffracted fields using FFT algorithms. A thorough presentation of the principles of holography and digital holography, including digital color holography, is proposed in the third part.A special section is devoted to the algorithms and method

Contents:

Title Page; Contents; Introduction; Chapter 1. Mathematical Prerequisites; 1.1. Frequently used special functions; 1.1.1. The "rectangle" function; 1.1.2. The "sinc" function; 1.1.3. The "sign" function; 1.1.4. The "triangle" function; 1.1.5. The "disk" function; 1.1.6. The Dirac δ function; 1.1.6.1. Definition; 1.1.6.2. Fundamental properties; 1.1.7. The "comb" function; 1.2. Two-dimensional Fourier transform; 1.2.1. Definition and existence conditions; 1.2.2. Theorems related to the Fourier transform; 1.2.2.1. Linearity; 1.2.2.2. Similarity; 1.2.2.3. Translation; 1.2.2.4. Parseval's theorem

1.2.2.5. The convolution theorem1.2.2.6. The autocorrelation theorem; 1.2.2.7. The duality theorem; 1.2.3. Fourier transforms in polar coordinates; 1.3. Linear systems; 1.3.1. Definition; 1.3.2. Impulse response and superposition integrals; 1.3.3. Definition of a two-dimensional linear shift-invariant system; 1.3.4. Transfer functions; 1.4. The sampling theorem; 1.4.1. Sampling a continuous function; 1.4.2. Reconstruction of the original function; 1.4.3. Space-bandwidth product; Chapter 2. The Scalar Theory of Diffraction; 2.1. Representation of an optical wave by a complex function

2.1.1. Representation of a monochromatic wave2.1.2. Complex amplitude of the optical field in space; 2.1.2.1. Plane waves; 2.1.2.2. Spherical waves; 2.1.3. Complex amplitudes of plane and spherical waves in a front plane; 2.1.3.1. Complex amplitude of a plane wave in a front plane; 2.1.3.2. Complex amplitude of a spherical wave in a front plane; 2.2. Scalar theory of diffraction; 2.2.1. Wave equation; 2.2.2. Harmonic plane wave solutions to the wave equation; 2.2.3. Angular spectrum; 2.2.4. Kirchhoff and Rayleigh-Sommerfeld formulae

2.2.5. Fresnel approximation and Fresnel diffraction integral2.2.6. The Fraunhofer approximation; 2.3. Examples of Fraunhofer diffraction patterns; 2.3.1. Fraunhofer diffraction pattern from a rectangular aperture; 2.3.2. Fraunhofer diffraction pattern from a circular aperture; 2.3.3. Fraunhofer diffraction pattern from a sinusoidal-amplitude grating; 2.4. Some examples and uses of Fresnel diffraction; 2.4.1. Fresnel diffraction from a sinusoidal-amplitude grating; 2.4.2. Fresnel diffraction from a rectangular aperture; 2.5. Collins' formula

2.5.1. Description of an optical system by an ABCD transfer matrix2.5.2. ABCD law and paraxial systems equivalent to a lens; 2.5.2.1. ABCD law of a spherical wave propagating across an optical system; 2.5.2.2. System equivalent to a lens; 2.5.2.3. Properties of the transfer matrix; 2.5.3. Proof of Collins' formula; 2.5.3.1. Transmission from a thin lens; 2.5.3.2. Expression of the ideal image; 2.5.3.3. Proof of Collins' formula; 2.5.4. Comparison between Collins' formula and the Fresnel integral; 2.6. Conclusion; Chapter 3. Calculating Diffraction by Fast Fourier Transform

3.1. Relation between the discrete and analytical Fourier transforms

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on metadata supplied by the publisher and other sources.

ISBN:

9781118562567

1118562569

9781299146426

1299146422

9781118563113

1118563115

9781118563205

1118563204

OCLC:

827208500