Propagation characteristics of Gaussian beams through a paraxialABCDoptical system with an annular aperture

The propagation of hypergeometric beams through an annular apertured paraxial ABCD optical system

“…The propagation of hypergeometric beams through an annular apertured paraxial ABCD optical system Bin Tang 1,2,4 , Chun Jiang 1,4 , Haibin Zhu 1 , Xin Zhou 3 and Shuai Wang 2 beams by solutions of the Helmholtz equation in cylindrical coordinate systems [17][18][19]. With the help of the paraxial theory of electromagnetic beams, Li also researched the propagation of HyG beams through uniaxially anisotropic crystals orthogonal to the optical axis [20].…”

“…where φ r ( , ) 0 denotes the cylindrical coordinate system, E 0 is the constant, σ represents the waist width of the Gaussian part, m is an integral parameter of the circular beam order, n is called the topological charge number of optical vortices, ω and γ are both real parameters. Based on the generalized Huygens-Fresnel diffraction integral formula, the propagation of HyG beams through a paraxial ABCD optical system with an annular aperture can be given by [2,3]:…”

“…In fact, it is more interesting to study these beams through an annular aperture because the annular apertured optical system represents a more general case and the unapertured circular aperture, or black screen, could be regarded as a special case. So far, researchers have discussed the propagation properties for kinks of beams through the annular aperture in some of the literature, such as Gaussian beams, Laguerre-Gaussian beams, Bessel-Gaussian beams, Hermite-Gaussian beams, flattened Gaussian beams, flattopped Mathieu-Guassian beams and the beams generated by a Gaussian mirror resonator [2][3][4][5][6][7][8][9]. In addition, the propagation of vectorial nonparaxial Gaussian beams and generalized, astigmatic elliptical Gaussian beams through an annular aperture have also been studied [10,11].…”

Property study of beam generated by Gaussian mirror through the misaligned optical system with aperture

“…The beam generated by Gaussian mirror can be decomposed into a linear combination of the lowest-order Gaussian beam [7,8]. The diffractions and propagations of the beams through a circular aperture have been studied [9][10][11][12].…”

Light intensity distributions of the Gaussian laser beam through an aperture team

“…The Collins formulae have been used to solve the field distributions in [1][2][3][4][5][6][7][8][9]. Where the light field is expressed by the sum of n order Bessel functions, this is inconvenient to calculate to some degree.…”