[1] Casperson L, Garfield T. Guided beams in concave metallic waveguides[J]. IEEE Journal of Quantum Electronics, 15, 491-496(1979).

[2] Efremidis N K, Chen Z G, Segev M et al. Airy beams and accelerating waves: an overview of recent advances[J]. Optica, 6, 686-701(2019).

[3] Grossman J G, Casperson L W, Stafsudd O M. Radio-frequency-excited carbon dioxide metal waveguide laser[J]. Applied Optics, 22, 1298-1305(1983).

[4] Grossman J G, Casperson L W, Stafsudd O M et al. Propagation of Airy-Hermite-Gaussian waveguide modes in free space[J]. Applied Optics, 23, 48-52(1984).

[5] Wen W, Song K H, Dong Y M et al. Finite energy Airy-Hermite-Gaussian beam and its paraxial propagation[J]. Optics & Laser Technology, 48, 28-34(2013).

[6] Yu J, Xiao S L, Yao L et al. Propagation of the finite energy Airy-Hermite-Gaussian beams in uniaxial crystals orthogonal to the optical axis[J]. Journal of Modern Optics, 64, 616-623(2017).

[7] Jiang Q C, Su Y L, Nie H X et al. Propagation and interaction of finite-energy Airy-Hermite-Gaussian beams in photorefractive media[J]. Applied Physics B, 124, 1-7(2018).

[8] Andrews D L[M]. Structured light and its applications: an introduction to phase-structured beams and nanoscale optical forces(2011).

[9] Jiang C Z, Zhang W R, Wang B et al. Influence of aberration on far-field distribution of laser beam emitted by space laser communication system[J]. Acta Optica Sinica, 40, 2206001(2020).

[10] Zhu K C, Liang R S, Yi Y J et al. Dual mirror evolutions of Airy beams propagating through uniaxial crystals induced by added spherical phase[J]. Acta Physica Sinica, 69, 094102(2020).

[11] Zhu J, Tang H Q, Gao Q L. Propagation of an Airy－Gaussian beam passing through a lens with low effective Fresnel number[J]. Results in Physics, 16, 102854(2020).

[12] Liang G, Wang Y Q, Guo Q et al. Anisotropic diffraction induced by orbital angular momentum during propagations of optical beams[J]. Optics Express, 26, 8084-8094(2018).

[13] Kotlyar V V, Kovalev A A, Porfirev A P. Astigmatic laser beams with a large orbital angular momentum[J]. Optics Express, 26, 141-156(2018).

[14] Kotlyar V V, Kovalev A A, Porfirev A P et al. Three different types of astigmatic Hermite-Gaussian beams with orbital angular momentum[J]. Journal of Optics, 21, 115601(2019).

[15] Liang G, Wang Q. Controllable conversion between Hermite Gaussian and Laguerre Gaussian modes due to cross phase[J]. Optics Express, 27, 10684-10691(2019).

[16] Kotlyar V V, Kovalev A A, Porfirev A P. Vortex astigmatic Fourier-invariant Gaussian beams[J]. Optics Express, 27, 657-666(2019).

[17] Liu Z L, Zhao D M. Effect of the astigmatic phase on the intensity of nonsingular beams during propagation[J]. Laser Physics, 30, 015003(2020).

[18] Zhou M L, Chen C D, Chen B et al. Propagation of an Airy－Gaussian beam in uniaxial crystals[J]. Chinese Physics B, 24, 124102(2015).

[19] Deng F, Deng D M. Nonparaxial propagation of an Airy-Gaussian beam in uniaxial crystal orthogonal to the optical axis[J]. Optics Communications, 380, 280-286(2016).

[20] Yu W H, Zhao R H, Deng F et al. Propagation of Airy Gaussian vortex beams in uniaxial crystals[J]. Chinese Physics B, 25, 044201(2016).

[21] Li D D, Peng X, Peng Y L et al. Nonparaxial evolution of the Airy-Gaussian vortex beam in uniaxial crystal[J]. Journal of the Optical Society of America B, 34, 891-898(2017).

[22] Zheng G L, Deng X Q, Xu S X et al. Propagation dynamics of a circular Airy beam in a uniaxial crystal[J]. Applied Optics, 56, 2444-2448(2017).

[23] Zheng G L, Xu S X, Wu Q Y et al. Electro-optical coupling of a circular Airy beam in a uniaxial crystal[J]. Optics Express, 25, 14654-14667(2017).

[24] Zhou G Q, Chen R P, Chu X X. Propagation of cosh－Airy beams in uniaxial crystals orthogonal to the optical axis[J]. Optics & Laser Technology, 116, 72-82(2019).

[25] Yang Q, Zhu W Z, Xu C J et al. Propagation of the radially polarized Airy vortex beams in uniaxial crystals orthogonal to the optical axis[J]. Journal of the Optical Society of America A, 36, 994-1002(2019).

[26] Xu C J, Lin L D, Huang Z Z et al. Propagation of a Pearcey beam in uniaxial crystals[J]. Chinese Physics B, 28, 024201(2019).

[27] Wang Q M, Li H H, Wang C et al. Interference effect of cosh-Airy beam in uniaxial crystals[J]. Optik, 202, 163647(2020).

[28] Valloee O, Soares M[M]. Airy functions and applications to physics(2004).