PROPAGATION OF BESSEL-MODULATED GAUSSIAN BEAMS THROUGH A MISALIGNED FIRST-ORDER OPTICAL SYSTEM

Abstract Based on the extended Collins formula, an analytical expression, for Bessel-modulated Gaussian (QBG) beams passing through a misaligned first-order optical system, is derived. Results show that the beam shape of the output beam remains unchanged and similar to that of the input even in the considered misaligned system. It is also indicated that the beam centre is related to the misaligned parameters and is derived from the optical axis. As an example, the propagation of zeroth-order QBG beams propagating through a misaligned thin lens is investigated numerically. Results in this paper may provide potential applications in combination technology of laser beams

IMAGE PRODUCED BY BESSEL-MODULATED GAUSSIAN BEAMS PROPAGATING THROUGH A FRACTIONAL FOURIER TRANSFORM SYSTEM WITH TWO HARD-EDGED APERTURES

Abstract Based on the Fresnel diffraction theory, we investigate a detailed study of image produced by a Besselmodulated Gaussian (QBG) beams propagating through a Fractional Fourier Transform system with two circular apertures. By the use of cylindrical coordinate system and expansion of the hard-edged circular aperture function, an approximate analytical solution of the intensity distribution on the considered fractional Fourier system is given