*Fourier Optics*E.G. Steward surveys the application to optics of Fourier transforms and associated principles. It offers some rigour but is written in such a way that it can be read rather than worked through. Diagrams and a few halftones are used to good effect, good motivation is provided, with key concepts approached through basic applications, and aspects of the history of optics are touched on. There are also a few exercises at the end of each chapter, with solutions provided.

Steward begins with basic concepts such as spatial and temporal coherence, diffraction and aperture, and so forth. He then works through Fraunhofer diffraction for single and double slits, circular apertures, n-slit gratings, and crystals. Chapter three introduces Fourier series and periodic structures and chapter four Fourier transforms, convolution, and correlation — all explained by application to optical systems.

Chapter five applies all of this to optical imaging, both incoherent and coherent, and touches on holography and optical processing. Chapter six looks at applications to medical imaging: the focus is on X-ray computed tomography, but short contributions by other authors cover MRI and ultrasonic computed tomography. And chapter seven looks at the study of radiation sources and astronomical applications: Michelson's stellar and spectral interferometers, partial coherence, Fourier transform spectroscopy, aperture synthesis, and the intensity interferometer.

There's not enough room in two hundred pages to go into the details of
any of these topics, but enough is presented to give a broad idea of
what is involved. Fourier transforms, phasor diagrams, basic optics
and so forth are explained as required, or treated in appendices, but
in a manner more suited as a refresher for someone who has done courses
covering those topics than for a complete beginner. *Fourier Optics*
has an obvious niche as a higher undergraduate text or an easy graduate
text — or, in my case, as an accessible survey for someone with a maths
and physics background who's recently taken up photography and wants to
understand modulation transfer functions and other aspects of optics.

June 2005

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