Propagation of a Pearcey beam in uniaxial crystals

Abstract

An analytical propagation expression of a Pearcey beam in uniaxial crystals orthogonal to the optical axis is derived. The propagations of the Pearcey beam in the tourmaline and the quartz are investigated. The phase distribution and the angular momentum of the Pearcey beam in the tourmaline are also performed. The result shows that the positions of the auto-focusing and the inversion simply relate to the extraordinary refractive index of the crystals. In other words, we can choose the suitable crystals to adjust the positions of auto-focusing and inversion of the Pearcey beam to meet the actual needs.

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

“…Regarding with this, we show that Airyprime beam has a flat topped shape after propagation [1]. Authors investigate that extraordinary refractive index of crystal strongly influences the autofocusing of Pearcey beam [2]. Change is polarization of radially polarized Pearcey beam is discussed in [3].…”

Dynamics of chirped finite Olver Gaussian beam propagating paraxial to uniaxial crystal

“…One can easily recognize from equation (3) that the traditional Airy function feature is acted out as long as the Olver function order n=0. In the frame of this reference, the relative dielectric tensor of the uniaxial crystal is taken the form as [27]…”

Dynamics of Pearcey pulses in highly noninstantaneous Kerr media

“…15) Later, Half-Pearcey beams (HP-beams) have been derived by solving the paraxial Helmholtz equation, which is shown that the Pearcey beams can be considered as the sum of two HP-beams. 16) Moreover, additional researches of Pearcey beams have been proposed, [17][18][19][20] giving people a broader understanding of the characteristics of optical beams.…”