Propagation of an Airy–Gaussian beam in uniaxial crystals

Abstract

Ling(周美玲) a)b) , Chen Chi-Dao(陈迟到) a)b) , Chen Bo(陈 波) a)b) , Peng Xi(彭 喜) a)b) , Peng Yu-Lian(彭玉莲) a)b) , and Deng Dong-Mei(邓冬梅) a)b) †

Nonparaxial propagation of an Airy-Gaussian beam in uniaxial crystal orthogonal to the optical axis

“…When the beam width of the AiGB is much greater than the vacuum wavelength, Eq. (3) can be expanded the phase and the amplitudes up to the second and the zeroth order using the usual procedure, to obtain the paraxial propagation of an AiGB (see [19]) in uniaxial crystal [20][21][22].…”

“…Due to their unique properties, several applications of finite-energy Airy beams have been found, including optical clearing of microparticles [5], optical routing [6], curved plasma channel generation [7,8], vacuum electron acceleration [9,10], and etc. The Airy-Gaussian beams, which carry finite power and retain the nondiffracting propagation properties within a finite propagation distance [11][12][13], have been demonstrated widely recently [11][12][13][14][15][16][17][18][19].…”

“…The propagation of various kinds of laser beams in uniaxial crystal has been demonstrated since A. Ciattoni et al constructed the vectorial theory of propagation in uniaxially anisotropic media [23][24][25][26][27][28][29][30][31][32]. The paraxial propagation of an Airy-Gaussian beam in uniaxial crystal has been studied by Zhou et al [19]. But when the beam waist radius of the AiGB is comparable with the wavelength in uniaxial crystal, the paraxial approach is not accurate enough.…”

Research and Application of a Data Processing Method on Outliers in Unmanned Aerial Vehicle (UAV) Tracking Measurement

“…And the spot outliers refer to some continuous abnormal data points generally with little difference in amplitude due to some persistent-existing causes [3]. In previous works [4][5][6][7], the outlier detection approaches towards isolated outliers revolve around some conventional statistical detection methods. They have well elimination performance but are not always tolerant to spot outliers owing to limited recognition capacity, and constraint on the statistical property of data.…”

Interaction of Airy-Gaussian beams in photonic lattices with defects

“…Many researchers have studied the AiG beams both theoretically and experimentally [31][32][33][34][35][36]. Deng et al have theoretically investigated the propagation of the AiG beam in uniaxial crystals [32], strongly nonlocal nonlinear media [33], Kerr media [34]. Ez-Zariy [35] and Zhou [36] et al have discussed propagation characteristics of finite Airy-Gaussian beams through an apertured misaligned first order ABCD optical system and the fractional Fourier transform plane, respectively.…”