𝔖 Bobbio Scriptorium
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Fractional Fourier optics

✍ Scribed by Ozaktas, Haldun M.; Mendlovic, David

Book ID
115387432
Publisher
Optical Society of America
Year
1995
Tongue
English
Weight
432 KB
Volume
12
Category
Article
ISSN
1084-7529

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✦ Synopsis

There exists a fractional Fourier-transform relation between the amplitude distributions of light on two spherical surfaces of given radii and separation. The propagation of light can be viewed as a process of continual fractional Fourier transformation. As light propagates, its amplitude distribution evolves through fractional transforms of increasing order. This result allows us to pose the fractional Fourier transform as a tool for analyzing and describing optical systems composed of an arbitrary sequence of thin lenses and sections of free space and to arrive at a general class of fractional Fourier-transforming systems with variable input and output scale factors.

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✍ Ozaktas, Haldun M.; Mendlovic, David πŸ“‚ Article πŸ“… 1995 πŸ› Optical Society of America 🌐 English βš– 432 KB
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According to the Huygens–Fresnel principle, the electric field transfer by diffraction from an emitter to a receiver can be split into two diffraction phenomena: from the emitter to an arbitrary intermediate surface and from this surface to the receiver. Expressing field transfers by the usual Fresn