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Handbook of Holographic Interferometry: Optical and Digital Methods

ISBN: 978-3-527-60492-0
554 pages
April 2006
Handbook of Holographic Interferometry: Optical and Digital Methods (3527604928) cover image


The book presents the principles and methods of holographic interferometry - a coherent-optical measurement technique for deformation and stress analysis, for the determination of refractive-index distributions, or applied to non-destructive testing. Emphasis of the book is on the quantitative computer-aided evaluation of the holographic interferograms. Based upon wave-optics the evaluation methods, their implementation in computer-algorithms, and their applications in engineering are described.
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Table of Contents


1 Introduction.

1.1 Scope of the Book.

1.2 Historical Developments.

1.3 Holographic Interferometry as a Measurement Tool.

2 Optical Foundations of Holography.

2.1 Light Waves.

2.2 Interference of Light.

2.3 Coherence.

2.4 Scalar Diffraction Theory.

2.5 Speckles.

2.6 Holographic Recording and Optical Reconstruction.

2.7 Elements of the Holographic Setup.

2.8 CCD- and CMOS-Arrays.

3 Digital Recording and Numerical Reconstruction of Wave Fields.

3.1 Digital Recording of Holograms.

3.2 Numerical Reconstruction by the Fresnel Transform.

3.3 Numerical Reconstruction by the Convolution Approach.

3.4 Further Numerical Reconstruction Methods.

3.5 Wave-Optics Analysis of Digital Holography.

3.6 Non-Interferometric Applications of Digital Holography.

4 Holographic Interferometry.

4.1 Generation of Holographic Interference Patterns.

4.2 Variations of the Sensitivity Vectors.

4.3 Fringe Localization.

4.4 Holographic Interferometric Measurements.

5 Quantitative Determination of the Interference Phase.

5.1 Roleof Interference Phase.

5.2 Disturbances of Holographic Interferograms.

5.3 Fringe Skeletonizing.

5.4 Temporal Heterodyning.

5.5 Phase Sampling Evaluation.

5.6 Fourier Transform Evaluation.

5.7 Dynamic Evaluation.

5.8 Digital Holographic Interferometry.

5.9 Interference Phase Demodulation.

6 Processing of the Interference Phase.

6.1 Displacement Determination.

6.2 TheSensitivity Matrix.

6.3 Holographic Strain and Stress Analysis.

6.4 Hybrid Methods.

6.5 Vibration Analysis.

6.6 Holographic Contouring.

6.7 Contour Measurement by Digital Holography.

6.8 Comparative Holographic Interferometry.

6.9 Measurement Range Extension.

6.10 Refractive Index Fields in Transparent Media.

6.11 Defect Detection by Holographic Non-Destructive Testing.

7 Speckle Metrology.

7.1 Speckle Photography.

7.2 Electronic and Digital Speckle Interferometry.

7.3 Electro-optic Holography.

7.4 Speckle Shearography.


A Signal Processing Fundamentals.

A.1 Overview.

A.2 Definition of the Fourier Transform.

A.3 Interpretation of the Fourier Transform.

A.4 Properties of the Fourier Transform.

A.5 Linear Systems.

A.6 Fourier Analysis of Sampled Functions.

A.7 The Sampling Theorem and Data Truncation Effects.

A.8 Interpolation and Resampling.

A.9 Two-Dimensional Image Processing.

A.10 The Fast Fourier Transform.

A.11 Fast Fourier Transform for N&ne; 2<sup>n</sup>.

A.12 Cosine and Hartley Transform.

A.13 The Chirp Function and the Fresnel Transform.

B Computer Aided Tomography.

B.1 Mathematical Preliminaries.

B.2 The Generalized Projection Theorem.

B.3 Reconstruction by Filtered Backprojection.

B.4 Practical Implementation of Filtered Backprojection .

B.5 Algebraic Reconstruction Techniques.

C Bessel Functions


Author Index

Subject Index.

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Author Information

Thomas Kreis, Ph.D., Senior Scientist,
Head of the Department of Coherent Optics,
BIAS -- Bremen Institute for Applied Beam Technology, Klagenfurter Str. 2, 28359 Bremen, Germany
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