Optical Scanning Holography with MATLAB - Ting Chung Poon.pdf

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OPTICAL SCANNING HOLOGRAPHY
WITH MATLAB®
 
OPTICAL SCANNING HOLOGRAPHY
WITH MATLAB®
TING-CHUNG POON
Bradley Department of Electrical and Computer Engineering, Virginia Tech,
Blacksburg,Virginia 24061.
400068687.001.png 400068687.002.png
Dr. Ting-Chung Poon
Virginia Tech
Bradley Dept. Electrical and Computer Engineering
Blacksburg, VA 24061
USA
tcpoon@vt.edu
Library of Congress Control Number: 2007921127
ISBN-10: 0-387-36826-4 e-ISBN-10: 0-387-36826-4
ISBN-13: 978-0-387-36826-9 e-ISBN-13: 978-0-387-68851-0
Printed on acid-free paper.
© 2007 Springer Science+Business Media, LLC
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York,
NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in
connection with any form of information storage and retrieval, electronic adaptation, computer software,
or by similar or dissimilar methodology now know or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
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Dedication
This book is dedicated to
Eliza (M.S., Iowa 1980),
Christina (B.S., Cornell 2004), and
Justine (B.S., Virginia Tech 2007).
Contents
Preface
ix
1. Mathematical Background and Linear System. . . . . . . . . . . . . . . . . . . . . . . . . . .
1.1 Fourier Transformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
1
. . . . . .
1.2.1 Linearity and Invariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 0
. . . . . .
10
1.2.2 Convolution and Correlation Concept. . . . . . . . . . . . . . . . . . .
14
2. Wave Optics and Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . .
21
21
25
2.1 Maxwell’s Equations and Homogeneous Vector Wave Equation . . . . . . . .
2.2 Three-Dimensional Scalar Wave Equation . . . . . . . . . . . . . . . . . . .
. . . . . .
2.2.1 Plane Wave Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . .
25
2.2.2 Spherical Wave Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . .
27
29
2.3 Scalar Diffraction Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . .
2.3.2 Diffraction of a Square Aperture. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
. . . . . .
33
2.4 Ideal Lens, Imaging Systems, Pupil Functions
and Transfer Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
2.4.1 Ideal Lens and Optical Fourier Transformation . . . . . . . . . . . . . . . . .
40
43
45
49
49
2.4.2 Coherent Image Processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.4.3 Incoherent Image Processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.5 Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.5.1 Fresnel Zone Plate as a Point-Source Hologram . . . . . . . . . . . . . . . .
2.5.2 Off-Axis Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
2.5.3 Digital Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
1.2 Linear and Invariant Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.3.1 Fresnel Diffraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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