Fractionalization of the linear cyclic transforms | Zendy

Tatiana Alieva | Zendy; M. L. Calvo | Zendy

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Fractionalization of the linear cyclic transforms

Author(s) -

Tatiana Alieva,

M. L. Calvo

Publication year - 2000

Publication title -

journal of the optical society of america a

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.803

H-Index - 158

eISSN - 1520-8532

pISSN - 1084-7529

DOI - 10.1364/josaa.17.002330

Subject(s) - fractionalization , integral transform , mathematics , fractional fourier transform , mellin transform , mathematical analysis , fourier transform , fourier analysis , ethnic group , sociology , anthropology

In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an infinite number of continuous fractional transforms related to a given cyclic integral transform. The main properties of the fractional transforms used in optics are considered. As an example, two different types of fractional Hartley transform are introduced, and the experimental setups for their optical implementation are proposed.

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