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This textbook is primarily mathematical and not a theoretical book on optics. It presents to the reader the mathematical tools needed to understand concepts behind imaging and finally brings it all together in the final chapter on imaging.
The textbook is broken down into 11 chapters. The first chapter is a short introduction to the book and describes how the book is laid out. Chapters 2 through 6 describe the mathematical tools need to understand the rest of the chapters. Chapter 2 is a basic introduction to a number of special functions that will be used through out the book. Chapter 4 covers harmonic analysis and how basic equations can be combined to form more complex functions. The topics of linearity and shift invariance, impulse response function, the transfer function, and the eigenfunctions are covered in chapter 5. Finally, in chapter 6, the concepts of convolution, cross correlation, and autocorrelation operations are discuss and the mathematical tools needed are presented. In chapter 7, the textbook presents the Fourier transformation and is used in the analysis of linear shift-invariant systems. Linear filters and signal processing is covered in chapter 8. Up to this point, only one-dimensional systems have been discussed, now in chapter 9, two-dimensional systems are introduced, including the Hankel transform. Chapter 10 covers the propagation and diffraction of optical waves. In chapter 11, the last chapter of the book, the ideas of linear systems, Fourier transforms, and diffraction are all combined to examine the process of coherent and incoherent image formation.
The Author does a good job of presenting the information in the textbook in an organized manner. He starts with a good foundation and builds upon what he has just discussed. There are plenty of diagrams and exampled through out each discussion. At the end of each section there are problems, although the answers are not provided in this book.
Written by Mark at Thorlabs