OPTO-IT

Analysis of flat beam diffraction by divergent fracxicon in nonparaxial mode

A. V. Ustinov^ab, S. N. Khonina<sup>ab

a</sup> S.P. Korolyov Samara State Aerospace University (National Research University)
^b Image Processing Systems Institute of the Russian Academy of Sciences

Abstract: Theoretical and numerical analysis of flat beam diffraction by fracxicon with value of power less than unity are performed within the nonparaxial scalar model. Using integration by parts of the Rayleigh-Sommerfeld integral of first type and applying the modified method of stationary phase we obtain the expression of the axial complex distribution satisfying the boundary conditions for on the optical axis. The results obtained by numerical integration show good agreement with analytical estimates. Numerical examples show that the divergent fracxicon allows to form an extended axial light line with diameter of the order of the wavelength longer and more uniform than provides a linear axicon.

Keywords: divergent fracxicon, nonparaxial mode, axial light line, uniform axial intensity distribution.

Received: 05.12.2013