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Chapter 4 Airy Functions - SPIE

Chapter 4 airy IntroductionAiry Functions are named after the English astronomer George Biddell airy (1801 1892). airy s first mathematical work was on the diffraction phenom-enon, namely, theAiry disk the image of a point object by a telescope which is familiar to all of us in optics. The name airy is connected with manyphysical phenomena and includes, besides the airy disk, the airy spiral, anoptical phenomenon visible on quartz crystals, and the airy stress function was very interested in optics and in fact studied the formation ofrainbows. A good qualitative summary of the rainbow is given by paper Adam shows how the optical rainbow can be studied at many levels:(i) geometrical optics (rays), (ii) the airy approximation, (iii) Mie scattering,(iv) complex angular momentum, and (v) catastrophe theory.

Chapter 4 Airy Functions 4.1 Introduction Airy functions are named after the English astronomer George Biddell Airy (1801–1892). Airy’s first mathematical work was on the diffraction phenom-enon, namely, the Airy disk—the image of a point object by a telescope— which is familiar to all of us in optics. The name Airy is connected with many

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