| Citation: | LIANG Meng-ting, CHENG Ke, SHU Ling-yun, LIAO Sai, YANG Ceng-hao, HUANG Hong-wei. The poynting vector and angular momentum density of Cosh-Pearcey-Gaussian vortex beams in uniaxial crystals[J]. Chinese Optics, 2023, 16(1): 193-201. doi: 10.37188/CO.EN.2022-0007
|
We investigate a family of Cosh-Pearcey-Gaussian Vortex (CPeGV) beams, obtain the general propagation expressions of a CPeGV beam, and study the longitudinal and transverse Poynting vector and Angular Momentum Density (AMD) when the CPeGV beams propagate in uniaxial crystals. The effects of the cosh modulation parameter, topological charge, and propagation distance on the propagation properties of CPeGV beams are discussed. A larger cosh modulation parameter can lead the energy transfer significantly along the transverse Poynting vector direction. Moreover, we also investigate how the cosh modulation parameter and topological charge influence the propagation properties in the far-field. A larger cosh modulation parameter can lead AMD to present four-lobe structures rather than their usual parabolic curve. Our investigation will provide a better understanding of the state of the CPeGV beams propagating in uniaxial crystals and be useful for applications in information transmission.
| [1] |
PEARCEY T. XXXI. The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic[J]. The London,Edinburgh,and Dublin Philosophical Magazine and Journal of Science, 1946, 37(268): 311-317. doi: 10.1080/14786444608561335
|
| [2] |
RING J D, LINDBERG J, MOURKA A, et al. Auto-focusing and self-healing of Pearcey beams[J]. Optics Express, 2012, 20(17): 18955-18966. doi: 10.1364/OE.20.018955
|
| [3] |
ZENG Z SH, DENG D M. Paraxial propagation of Pearcey Gaussian beams with the astigmatic phase in the chiral medium[J]. Journal of the Optical Society of America B, 2020, 37(1): 30-37. doi: 10.1364/JOSAB.37.000030
|
| [4] |
HUANG ZH C, WU Y, LIN Z J, et al. Effects of the multi-order and off-axis vortex on the propagation of Pearcey Gaussian vortex beams with the astigmatic phase in a chiral medium[J]. Waves in Random and Complex Media, 2021: 1-11.
|
| [5] |
JIANG J J, MO ZH W, XU D L, et al. Elliptical Pearcey beam[J]. Optics Communications, 2022, 504: 127475. doi: 10.1016/j.optcom.2021.127475
|
| [6] |
WU Y, ZHAO J J, LIN Z J, et al. Symmetric Pearcey Gaussian beams[J]. Optics Letters, 2021, 46(10): 2461-2464. doi: 10.1364/OL.425889
|
| [7] |
LIU Y J, XU CH J, LIN Z J, et al. Auto-focusing and self-healing of symmetric odd-Pearcey Gauss beams[J]. Optics Letters, 2020, 45(11): 2957-2960. doi: 10.1364/OL.394443
|
| [8] |
CIATTONI A, CINCOTTI G, PALMA C. Propagation of cylindrically symmetric fields in uniaxial crystals[J]. Journal of the Optical Society of America A, 2002, 19(4): 792-796. doi: 10.1364/JOSAA.19.000792
|
| [9] |
CIATTONI A, PALMA C. Optical propagation in uniaxial crystals orthogonal to the optical axis: paraxial theory and beyond[J]. Journal of the Optical Society of America A, 2003, 20(11): 2163-2171. doi: 10.1364/JOSAA.20.002163
|
| [10] |
ZHOU M L, CHEN CH D, CHEN B, et al. Propagation of an Airy-Gaussian beam in uniaxial crystals[J]. Chinese Physics B, 2015, 24(12): 124102. doi: 10.1088/1674-1056/24/12/124102
|
| [11] |
DENG D M, CHEN CH D, ZHAO X, et al. Propagation of an Airy vortex beam in uniaxial crystals[J]. Applied Physics B, 2013, 110(3): 433-436. doi: 10.1007/s00340-012-5273-5
|
| [12] |
XU CH J, LIN L D, HUANG ZH ZH, et al. Propagation of a Pearcey beam in uniaxial crystals[J]. Chinese Physics B, 2019, 28(2): 024201. doi: 10.1088/1674-1056/28/2/024201
|
| [13] |
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, 2019, 116: 72-82.
|
| [14] |
XU CH J, WU J H, WU Y, et al. Propagation of the Pearcey Gaussian beams in a medium with a parabolic refractive index[J]. Optics Communications, 2020, 464: 125478. doi: 10.1016/j.optcom.2020.125478
|
| [15] |
LIAN M, GU B, ZHANG Y D, et al. Polarization rotation of hybridly polarized beams in a uniaxial crystal orthogonal to the optical axis: theory and experiment[J]. Journal of the Optical Society of America A, 2017, 34(1): 1-6. doi: 10.1364/JOSAA.34.000001
|
| [16] |
SZTUL H I, ALFANO R R. The Poynting vector and angular momentum of Airy beams[J]. Optics Express, 2008, 16(13): 9411-9416. doi: 10.1364/OE.16.009411
|
| [17] |
ALLEN L, PADGETT M J. The Poynting vector in Laguerre-Gaussian beams and the interpretation of their angular momentum density[J]. Optics Communications, 2000, 184(1-4): 67-71. doi: 10.1016/S0030-4018(00)00960-3
|
| [18] |
CHENG K, ZHOU Y, LU G, et al. Vectorial structures of linear-polarized Butterfly-Gauss vortex beams in the far zone[J]. Optics Communications, 2018, 415: 107-114. doi: 10.1016/j.optcom.2018.01.025
|
Figures(6)
DownLoad:
