Portal de Periódicos da CAPES

Functional Analysis of Diffraction Integral Transform. I.

1975; Institute of Physics; Volume: 14; Issue: 11 Linguagem: Inglês

10.1143/jjap.14.1799

1347-4065

Kenji Kojima, Shoichiro Yamaguchi,

Photorefractive and Nonlinear Optics

A theory of a diffraction integral transform, which involves Rayleigh and Fresnel transforms as special cases, is developed by means of a functional analytic method. It is shown that this convolution type transform, represented by operator Tz, has linear continuity and semi-group property. By changing φ, which is a complex function in the propagation kernel, various types of differential representation of Tz, can be presented. Moreover, three kinds of induced orthogonal function systems and a sampling representation of the transform are derived by limiting φ and the variable domain.