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Electro-Optical Instrumentation: Sensing and Measuring with Lasers by Silvano Donati - University of Pavia

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Appendix A5Propagation and Diffraction

Making no pretence of completeness, but to provide a useful reference for the reader, we will recall here some results concerning propagation and diffraction equations we have used in the text when dealing with size measurements (Ch.2) and speckle pattern instrumentation (Ch.5). Several textbooks are available for a more complete treatment (see Ref. [1-3]).

A5.1 Propagation

Let’s begin with a fundamental equation relating the amplitudes of the optical field in the propagation from a source plane (ξ,η) to a receiving plane (x,y) (Fig.A5-1).

The source can be divided into elemental areas dξ,η, each with an amplitude A1(ξ,η) dξdη. Each contribution is a source radiating as a spherical wave in view of the ...

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