Properties of the linear canonical integral transformation | Zendy

Tatiana Alieva | Zendy; Martin J. Bastiaans | Zendy

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Properties of the linear canonical integral transformation

Author(s) -

Tatiana Alieva,

Martin J. Bastiaans

Publication year - 2007

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.24.003658

Subject(s) - transformation (genetics) , lossless compression , canonical form , canonical transformation , scaling , canonical coordinates , mathematics , linear map , physics , pure mathematics , quantum mechanics , algorithm , data compression , biochemistry , chemistry , geometry , quantum , gene , phase space

We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems for these transformations, such as shift, scaling, derivation, etc., together with the canonical integral transforms of selected functions, are derived.

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