Analytical Expression of Gaussian Beam Converted by Axicon-lens System

Mengshi DAI; Chongguang LI; Yuli LOU; Xiaoxue CHEN

doi:10.3788/gzxb20215007.0726001

[1] J ARLT, M J PADGETT. Generation of a beam with a dark focus surrounded by regions of higher intensity. Optics Letters, 25, 191-193(2000).

[2] M BAYRAKTAR, H T EYYUBOGLU. Propagation properties of optical bottle beam in turbulence. Optical Engineering, 58, 1-9(2019).

[3] S HEUKE, F B LEGESSE, D AKIMOV et al. Bessel beam coherent anti-Stokes Raman scattering microscopy. Journal of the Optical Society ofAmerica B, 32, 1773-1779(2015).

[4] M MIKUTIS, T KUDRIUS, G SLEKYSl et al. High 90% efficiency Bragg gratings formed in fused silica by femtosecond Gauss-Bessel laser beams. Optical Materials Express, 3, 1862-1871(2013).

[5] S MITRA, M CHANAL, R CLADY et al. Millijoule femtosecond micro-Bessel beams for ultra-high aspect ratio machining. Applied Optics, 54, 7358-7365(2015).

[6] M BHUYAN, P VELPULA, J COLOMBIER et al. Single-shot high aspect ratio bulk nanostructuring of fused silica using chirp-controlled ultrafast laser Bessel beams. Applied Physics Letters, 104(2014).

[7] D FACCIO, E RUBINO, A LOTTI et al. Nonlinear light-matter interaction with femtosecond high-angle Bessel beams. Physical Review A, 85(2012).

[8] A COUAIRON, A LOTTI, P PANAGIOTOPOULOS et al. Ultrashort laser pulse filamentation with Airy and Bessel beams. International Society for Optics and Photonics(2013).

[9] S VINAS, Z JAROSZEWIEZ, A KOLODZIEJCZYK et al. Zone plates with black focal spots. Applied Optics, 31, 192-198(1992).

[10] B AHLUWALIA, W CHEONG, X C YUAN et al. Design and fabrication of a double-axicon for generation of tailorable self-imaged three-dimensional intensity voids. Optics Letters, 31, 987-989(2006).

[11] Zhiming CHENG, Fengtie WU, Xiang FANG等. Multi-bottle beam generated by vaulted axicon. Acta Physica Sinica, 61, 212-217(2012).

[12] Zhiming CHENG, Fengtie WU, Xiang FANG等. Theory and experiment of generating multi-bottle beam with higher light-intensity gradient. Acta Optica Sinica, 32, 1114002(2012).

[13] D MCGLOIN, K DHOLAKIA. Bessel beams： diffraction in a new light. Contemporary Physics, 46, 15-28(2005).

[14] Suochen WANG, Fengtie WU, Qingzhi ZHU. Numerical analysis and experiments of LED generating bottle beams. Infrared and Laser Engineering, 46(2017).

[15] Z ZHANG, Z PENG, M MATTHEW et al. Trapping aerosols with optical bottle arrays generated through a superposition of multiple Airy beams. Chinese Optics Letters, 11, 84-86(2013).

[16] A SRINIVASA, Y DEEPIKA, G K SAMANTA. Nonlinear frequency conversion of 3D optical bottle beams generated using a single axicon. Optics Letters, 46, 657-660(2020).

[17] Guiyang YANG, Guolu MA, Guoying ZENG. Generation theory and experimental study of two stage non-diffracting beam. Acta Photonica Sinica, 47(2018).

[18] Guiyang YANG, Guolu MA, Guoying ZENG. Influence of the surface deviation axicon on the propagation characteristics of non-diffracting beam. Acta Photonica Sinica, 48(2019).

[19] J D GASKILL. Linear systems， Fourier transforms， and optics, 320-333(1978).