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Elementary Fourier Optics for Science and Engineering Students
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01 August 2025

Elementary Fourier Optics for Science and Engineering Students introduces the principles of Fourier optics, emphasizing their foundational role in modern optical systems. Designed for undergraduates and early graduates in Physics, Mathematics, or Engineering, this book describes how wave propagation, diffraction, and linear systems theory unite under the Fourier framework to explain phenomena like image formation, holography, and optical signal processing. Important concepts as convolution, cross-correlation, transfer function and their relationship with image resolution are also included. Between the key features of the books are a progressive learning path, visual explanations, use of a specialized program for graphic Fourier Transform implementation, chapter abstracts, solved and non-solved exercises, and a list of relevant bibliography.
Key Features:
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Self-contained book as math and optical content will be introduced from the beginning.
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Designed for students (mathematical level, style, wording).
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Discusses main concepts of Fourier Optics in simplified terms, without being excessively long or laborious.
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Provides an illustrative layout with image J free software.
SCIENCE / Physics / Optics & Light, Applied optics, TECHNOLOGY & ENGINEERING / Optics, TECHNOLOGY & ENGINEERING / Holography, Optical physics, Image processing
Preface
Acknowledgments
About the authors
1 Mathematical functions - a review
2 Optics fundamentals - a review
3 Fourier Transfom in 1D
4 Fourier Transform in 2D
5 Linear and shift-invariant systems
6 Fraunhofer diffraction and Fourier transform
7 Correlations. Transfer functions and images formation
8 Advanced topics