Nonparaxial propagation of radially polarized chirped Airy beams in uniaxial crystal orthogonal to the optical axis*

Abstract

The nonparaxial propagation of radially polarized chirped Airy beams (RPCAiBs) in uniaxial crystal orthogonal to the optical axis is analytically studied. The effects of the first and the second order chirp factors, and the ratio of the extraordinary refractive index to the ordinary refractive index on the nonparaxial evolution of RPCAiBs in different observation planes are investigated in detail. The results show that when one parameter changes, different components behave differently, and even the same component has various behavior in different directions. The initial slope of RPCAiBs in the x-direction varies more with the first order chirp factor than that in the y-direction. Meanwhile, with the second order chirp factor becoming larger, the depth of the focus of the y-component in the x-direction decreases while that in the y-direction has no difference. In addition, the different ratios of the extraordinary refractive index to the ordinary refractive index change the difference of the depth of the focus between the x- and the y-components.

Propagation of chirped sinh-Gaussian beams in uniaxial crystals orthogonal to the optical axis

“…As compared to linear and quadratic chirped parameter, Gaussian factor of chirped Airy Gaussian vortex beam effects intensity more [10]. Change in slope of radially polarized chirped Airy beam is slower in y-direction than in x-direction [11]. Initial angle of radially polarized Airy-Gaussian beams brings off-axis intensity at the receiver plane [12].…”

Evolution of chirped cosh-Gaussian vortex beam through uniaxial crystal orthogonal to the optical axis

“…As a chirped beam family member, more concentrated chirped Airy vortex beam can be obtained by controlling the chirped parameter [11]. Depth of focus of second component of radially polarized chirped Airy beam mitigates in x-direction if second order chirped parameter increases [12]. Intensity of rotating elliptical chirped Gaussian beam becomes decentered after propagation [13].…”

Propagations of Fresnel diffraction accelerating beam in Schrödinger equation with nonlocal nonlinearity*

“…[1][2][3][4][5][6][7][8] In particular, Airy beams as exact solutions of the Schrödinger's equation [9,10] indicated that all paraxial accelerated beams are related to the Airy function. [11][12][13][14][15][16][17] Until quite recently, study of accelerating beam is still an active topic, and the evolution dynamics of these beams in different medium have been reported in Refs. [18][19][20].…”