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OPTICAL SCANNING HOLOGRAPHY WITH MATLAB
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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.
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
9 8 7 6 5 4 3 2 1
springer.com
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.
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York,
All rights reserved. This work may not be translated or copied in whole or in part without the written
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.
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
1
1.2 Linear and Invariant Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10
1.2.2 Convolution and Correlation Concept. . . . . . . . . . . . . . . . . . . 14
21
21
25
2.2.1 Plane Wave Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
2.2.2 Spherical Wave Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
29
2.3.1 Fresnel Diffraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
2.4 Ideal Lens, Imaging Systems, Pupil Functions
40
43
45
49
49
2.3 Scalar Diffraction Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.2 Three-Dimensional Scalar Wave Equation . . . . . . . . . . . . . . . . . . .
1. Mathematical Background and Linear System. . . . . . . . . . . . . . . . . . . . . . . . . . .
1.1 Fourier Transformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
.
. . . . .
.
. . . . .
1.2.1 Linearity and Invariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 0
. . . . . .
. . . . . .
2. Wave Optics and Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
2.3.2 Diffraction of a Square Aperture. . . . . . . . . . . . . . . . . . . . . . . . . . . . .
36
2.5.3 Digital Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
2.5.2 Off-Axis Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
2.5.1 Fresnel Zone Plate as a Point-Source Hologram . . . . . . . . . . . . . . . .
2.5 Holography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.4.3 Incoherent Image Processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.4.2 Coherent Image Processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.4.1 Ideal Lens and Optical Fourier Transformation . . . . . . . . . . . . . . . . .
and Transfer Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 40
2.1 Maxwell
’
s Equations and Homogeneous Vector Wave Equation . . . . . . . .
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