Diffraction of a plane wave by a limited spiral phase plate: the paraxial vector theory
A.A. Kovalev, V.V. Kotlyar

Image Processing Systems Institute оf the RAS,
Samara State Aerospace University (SSAU)

Full text of article: Russian language.

Abstract:
Analytic expressions describing vector paraxial diffraction of a limited plane wave by a spiral phase plate (SPP) are obtained. All three components of the electrical field are presented in the form of total amounts of Bessel functions. It is shown that at the plus-and-minus first order of SPPs a longitudinal component of the electrical field is not zero on the optical axis. It is also numerically shown that in case of paraxial diffraction, the longitudinal component of the complex amplitude can provide a contribution of a few percent of a transverse component.

Key words:
spiral phase plate,  paraxial approximation, vector theory.

Citation:
Kovalev AA, Kotlyar VV. Diffraction of a plane wave by a limited spiral phase plate: the paraxial vector theory [In Russian]. Computer Optics 2007; 31(2): 4-8.

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