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Principles and Applications of Fourier Optics
Principles and Applications of Fourier Optics
Robert K. Tyson
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‘All of optics is Fourier optics!’ While this statement may not be literally true, when
there is one basic mathematical tool to explain light propagation and image formation,
with both coherent and incoherent light, as well as thousands of practical
everyday applications of the fundamentals, Fourier optics is worth studying. This
book contains !ve chapters with a summary of the principles of Fourier optics that
have been developed over the past hundred years and two chapters with summaries
of many applications over the past !fty years, especially since the invention of the
laser. It is not necessary to take a new tack in explaining the principles. I have drawn
liberally from the descriptions and notation of the authors of the classic texts on the
topic, namely Professor Joseph V Goodman of Stanford University and Professor
Jack D Gaskill of the University of Arizona. For applications that have evolved
recently and are being reported even as this book goes to press, I have attempted to
maintain the consistent notation and de!nitions of the early chapters, but deferred to
the notation of the recent researchers where consulting the original papers with
different notation would be confusing. This book is intended as a series of guideposts
to improve our world through the applications of Fourier optics.
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