Fraunhofer diffraction of Laguerre–Gaussian beam caused by a dynamic superposed dual-triangular aperture

Abstract

We investigate the Fraunhofer diffraction of a Laguerre-Gaussian (LG) beam incident on a dynamic superposed dual-triangular aperture. The evolution of the diffraction pattern from this aperture is analyzed experimentally and theoretically. A special aperture, called the hex-star triangular aperture, demonstrates interesting diffraction patterns. Further, the diffraction properties of integer, half-integer, and fractional orders of topological charges at the Fraunhofer zone are studied by using the hex-star triangular aperture. This study can provide additional information to enhance the understanding of the diffraction properties of the LG beam transmitted through a complex aperture.

Diffraction-induced entanglement loss of high-dimensional orbital angular-momentum states

“…U (x, y, z) is the diffracted field while U 0 (x 0 , y 0 ) is the incident field. In this case, the LG beam is modified as LG(x, y) = LG(r, θ) in either Cartesian or cylindrical polar coordinates [12]. The transmission function of the circular aperture is given by the following expression:…”

Modified Bessel–Gaussian Vortex Beam with an Adjustable Broken Opening

“…To investigate the intensity distribution of the modified BG vortex beam in the far field, we simulate a far field diffraction via the Fraunhofer diffraction integral, [52,53] which is expressed as…”

Finite hypergeometric series summation-based Fraunhofer diffraction analysis for optical vortices generated by spiral phase plates

“…Here Fð•; •; •Þ is the Kummer's function and p is the radial mode index. 18 Similar to Eq. (11) and considering the case of the LG beam, the Fraunhofer diffraction field can be described using the unilateral Fourier expansion as E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 1 5 ; 3 2 6 ; 7 5 2…”

“…Thus, considering the power on the useful component and the error components, the rule of the error can be quantified. 3 Results and Analysis By setting the wavelength of the incident beam λ to 633 nm, the focal length of the focusing lens f to 20 cm, the radius of the diffraction aperture ðR; w 0 Þ to 0.5 cm, and the radial mode index p to 0, 18 the intensity profile of the Fraunhofer diffraction fields was simulated according to Eqs. (13)- (16).…”