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Journal articles on the topic 'Circular caustic; Gaussian beams'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Alexandrov, A., V. Zhdanov, and A. Kuybarov. "Gravitational microlensing of an elliptical source near a fold caustic." Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 57 (2018): 10–15. http://dx.doi.org/10.17721/btsnua.2018.57.10-15.

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We consider the amplification factor for the luminosity of an extended source near the fold caustic of the gravitational lens. It is assumed that the source has elliptical shape, and the brightness distribution along the radial directions is Gaussian. During the microlensing event the total brightness of all microimages is observed, which changes when the source moves relative to the caustic. The main contribution to the variable component is given by the so-called critical images that arise/disappear at the intersection of the caustic by the source. In the present paper we obtained an analogo

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2

Lamsoudi, Redouane. "Parametric Characterization of Truncated Circular Flattened Gaussian Beams." American Journal of Optics and Photonics 3, no. 1 (2015): 1. http://dx.doi.org/10.11648/j.ajop.20150301.11.

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3

Zhou, G., and X. Chu. "Analytic vectorial structure of circular flattened Gaussian beams." Applied Physics B 102, no. 1 (2010): 215–24. http://dx.doi.org/10.1007/s00340-010-4156-x.

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4

Liu Pu-Sheng and Lü Bai-Da. "Nonparaxial vector Gaussian beams diffracted at a circular screen." Acta Physica Sinica 53, no. 11 (2004): 3724. http://dx.doi.org/10.7498/aps.53.3724.

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5

Zheng, Chongwei, Yaoju Zhang, and Ling Wang. "Propagation of vectorial Gaussian beams behind a circular aperture." Optics & Laser Technology 39, no. 3 (2007): 598–604. http://dx.doi.org/10.1016/j.optlastec.2005.10.003.

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6

Chen, Xingyu, Dongmei Deng, Jingli Zhuang, Xiangbo Yang, Hongzhan Liu, and Guanghui Wang. "Nonparaxial propagation of abruptly autofocusing circular Pearcey Gaussian beams." Applied Optics 57, no. 28 (2018): 8418. http://dx.doi.org/10.1364/ao.57.008418.

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7

Campbell, Charles. "Fresnel Diffraction Of Gaussian Laser Beams By Circular Apertures." Optical Engineering 26, no. 3 (1987): 263270. http://dx.doi.org/10.1117/12.7974061.

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8

Barnes, Norman P., and Peter J. Walsh. "Loss of Gaussian beams through off-axis circular apertures." Applied Optics 27, no. 7 (1988): 1230. http://dx.doi.org/10.1364/ao.27.001230.

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9

Cherif, Sabah, Aicha Medjahed, and Ahmed Manallah. "Conversion of Laguerre–Gaussian beams into Gaussian beams of reduced focal spot by use of a circular echelon." Optik 127, no. 5 (2016): 3134–37. http://dx.doi.org/10.1016/j.ijleo.2015.12.035.

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10

Chen, Xingyu, Dongmei Deng, Guanghui Wang, Xiangbo Yang, and Hongzhan Liu. "Abruptly autofocused and rotated circular chirp Pearcey Gaussian vortex beams." Optics Letters 44, no. 4 (2019): 955. http://dx.doi.org/10.1364/ol.44.000955.

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11

Matikas, T. E. "Asymptotic analysis of Gaussian focused ultrasonic beams of circular symmetry." Journal of Physics D: Applied Physics 27, no. 4 (1994): 714–18. http://dx.doi.org/10.1088/0022-3727/27/4/006.

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12

Ni, Yongzhou, Yimin Zhou, Guoquan Zhou, and Ruipin Chen. "Characteristics of Partially Coherent Circular Flattened Gaussian Vortex Beams in Turbulent Biological Tissues." Applied Sciences 9, no. 5 (2019): 969. http://dx.doi.org/10.3390/app9050969.

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The characteristics of partially coherent circular flattened Gaussian vortex beams in turbulent biological tissues are investigated, and the analytical formula for the cross-spectral density of this beam is derived. According to the cross-spectral density matrix, the average intensity and degree of polarization can be obtained. By numerical simulation, the distributions of the normalized average intensity and degree of polarization of partially coherent circular flattened Gaussian vortex beams are demonstrated on the research plane of turbulent biological tissues. The effects of the two beam p

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13

Chu, Xiuxiang, Yongzhou Ni, and Guoquan Zhou. "Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulent atmosphere." Optics Communications 274, no. 2 (2007): 274–80. http://dx.doi.org/10.1016/j.optcom.2007.02.035.

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14

Guo, Kuangling, Jintao Xie, Gengxin Chen, et al. "Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams." Optics Communications 477 (December 2020): 126369. http://dx.doi.org/10.1016/j.optcom.2020.126369.

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15

Guo, Jiang, and Zao Li. "Propagation of nonparaxial vector hollow Gaussian beams through a circular aperture." Optics Communications 285, no. 24 (2012): 4856–60. http://dx.doi.org/10.1016/j.optcom.2012.08.032.

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16

Lü, Baida, and Kailiang Duan. "Nonparaxial propagation of vectorial Gaussian beams diffracted at a circular aperture." Optics Letters 28, no. 24 (2003): 2440. http://dx.doi.org/10.1364/ol.28.002440.

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17

Xueju, Shen, Wang Long, Shen Hongbin, and Han Yudong. "Propagation analysis of flattened circular Gaussian beams with a misaligned circular aperture in turbulent atmosphere." Optics Communications 282, no. 24 (2009): 4765–70. http://dx.doi.org/10.1016/j.optcom.2009.08.064.

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18

Deng, Dongmei. "Generalized -factor of hollow Gaussian beams through a hard-edge circular aperture." Physics Letters A 341, no. 1-4 (2005): 352–56. http://dx.doi.org/10.1016/j.physleta.2005.04.081.

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19

Zhang, Yaoju. "Nonparaxial propagation analysis of elliptical Gaussian beams diffracted by a circular aperture." Optics Communications 248, no. 4-6 (2005): 317–26. http://dx.doi.org/10.1016/j.optcom.2004.12.020.

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20

Gu, Juguan, Ping Yang, and Qinghua Zhu. "Propagation characteristics of Gaussian beams through 2 × 2 square matrix circular apertures." Optik 123, no. 20 (2012): 1817–19. http://dx.doi.org/10.1016/j.ijleo.2011.12.061.

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21

Pang, Zeyue, Zhe Wang, Fengbei Shen, and Weiyi Hong. "Phase-matching control of high-order harmonics with circular Airy-Gaussian beams." Optics Express 29, no. 18 (2021): 29308. http://dx.doi.org/10.1364/oe.436029.

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22

Tu, Siyu, Jinsong Liu, Tianyi Wang, Zhengang Yang, and Kejia Wang. "Design of a 94 GHz Millimeter-Wave Four-Way Power Combiner Based on Circular Waveguide Structure." Electronics 10, no. 15 (2021): 1795. http://dx.doi.org/10.3390/electronics10151795.

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This paper introduces a four-way power combiner operating in the 94 GHz millimeter-wave based on spatial power combining technology. The four millimeter-waves with Gaussian beams are combined in the waveguide, increasing the output power. The combiner is composed of five circular waveguides connected by four long and narrow coupling slots. Four sub-waveguides are separately connected to four input ports and one main waveguide is connected to a common output port. The TE11-mode is used as the input mode, which has two vertical and horizontal polarization directions. Four sub-waveguides are resp

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23

Konar, S., and Manoj Mishra. "Effect of higher order nonlinearities on induced focusing and on the conversion of circular Gaussian laser beams into elliptic Gaussian laser beams." Journal of Optics A: Pure and Applied Optics 7, no. 10 (2005): 576–84. http://dx.doi.org/10.1088/1464-4258/7/10/009.

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24

Bencheikh, Abdelhalim. "Comment on the paper “Conversion of Laguerre-Gaussian beams into Gaussian beams of reduced focal spot by use of a circular echelon”." Optik 127, no. 24 (2016): 11884–85. http://dx.doi.org/10.1016/j.ijleo.2016.09.125.

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25

Koushki, E., and M. H. Majles Ara. "Comparison of the Gaussian-decomposition and the Fresnel–Kirchhoff diffraction methods in circular and elliptic Gaussian beams." Optics Communications 284, no. 23 (2011): 5488–94. http://dx.doi.org/10.1016/j.optcom.2011.08.028.

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26

Mei, Zhangrong, and Daomu Zhao. "Generalized beam propagation factor of hard-edged circular apertured diffracted Bessel–Gaussian beams." Optics & Laser Technology 39, no. 7 (2007): 1389–94. http://dx.doi.org/10.1016/j.optlastec.2006.10.011.

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27

Acosta, E., and C. Gomez-Reino. "Fresnel Diffraction of Gaussian Beams by a Circular Aperture in Gradient-index Media." Journal of Modern Optics 38, no. 9 (1991): 1659–72. http://dx.doi.org/10.1080/09500349114551801.

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28

胡, 前欢. "Anomalous Spectral Behavior of Ultrashort Pulsed Laguerre-Gaussian Beams Diffracted by Circular Ring." Applied Physics 05, no. 12 (2015): 195–201. http://dx.doi.org/10.12677/app.2015.512027.

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29

Jiang, Huilian, and Daomu Zhao. "Studies of propagation characteristics of elliptical Gaussian beams through circular apertured optical systems." Optik 118, no. 4 (2007): 181–86. http://dx.doi.org/10.1016/j.ijleo.2006.02.005.

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30

Crenn, J. P. "Optical propagation of the HE11 mode and Gaussian beams in hollow circular waveguides." International Journal of Infrared and Millimeter Waves 14, no. 10 (1993): 1947–73. http://dx.doi.org/10.1007/bf02096365.

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31

Chu, X., Y. Ni, and G. Zhou. "Propagation of cosh-Gaussian beams diffracted by a circular aperture in turbulent atmosphere." Applied Physics B 87, no. 3 (2007): 547–52. http://dx.doi.org/10.1007/s00340-007-2615-9.

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32

Huang, T. W., C. T. Zhou, and X. T. He. "Self-shaping of a relativistic elliptically Gaussian laser beam in underdense plasmas." Laser and Particle Beams 33, no. 2 (2015): 347–53. http://dx.doi.org/10.1017/s026303461500018x.

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AbstractSelf-shaping and propagation of intense laser beams of different radial profiles in plasmas is investigated. It is shown that when a relativistic elliptically Gaussian beam propagates through an underdense plasma, its radial profile will self-organize into a circularly symmetric self-similar smooth configuration. Such self-similar propagation can be attributed to a soliton-like structure of the laser pulse. The anisotropic electron distribution results in a circular electric field that redistributes the electrons and modulates the laser pulse to a circular radial shape.

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33

Zhang Liangjun, 张亮君, 张军勇 Zhang Junyong, 张艳丽 Zhang Yanli, et al. "Vectorial Non-Paraxial Propagation of Four-Petal Gaussian Beams through an Eccentric Circular Aperture." Chinese Journal of Lasers 38, no. 9 (2011): 0902005. http://dx.doi.org/10.3788/cjl201138.0902005.

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34

Duan, Kailiang, and Baida Lü. "Nonparaxial analysis of far-field properties of Gaussian beams diffracted at a circular aperture." Optics Express 11, no. 13 (2003): 1474. http://dx.doi.org/10.1364/oe.11.001474.

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35

Zhang, Liping, Shangling He, Xi Peng, et al. "Tightly focusing evolution of the auto-focusing linear polarized circular Pearcey Gaussian vortex beams." Chaos, Solitons & Fractals 143 (February 2021): 110608. http://dx.doi.org/10.1016/j.chaos.2020.110608.

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36

Jiang, Huilian, and Daomu Zhao. "Propagation of the Hermite–Gaussian beams through misaligned optical system with a circular aperture." Optik 117, no. 5 (2006): 215–19. http://dx.doi.org/10.1016/j.ijleo.2005.08.015.

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37

Savelyev, D. A. "The investigation of the features of focusing vortex super-Gaussian beams with a variable-height diffractive axicon." Computer Optics 45, no. 2 (2021): 214–21. http://dx.doi.org/10.18287/2412-6179-co-862.

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Spatial intensity distributions of the Laguerre-superGauss modes (1,0) as well as a super-Gaussian beam with radial and circular polarization were investigated versus changes in the height of a diffractive axicon. The height of the relief of the optical element varied from 0.25λ to 3λ. The modeling by a finite-difference time-domain method showed that variations in the height of the diffractive axicon significantly affect the diffraction pattern in the near field of the axicon. The smallest focal spot size for a super-Gaussian beam was obtained for radial polarization at a height equal to two

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38

Volyar, A. V., M. Bretsko, Ya Akimova, and Yu Egorov. "Sorting Laguerre-Gaussian beams by radial numbers via intensity moments." Computer Optics 44, no. 2 (2020): 155–66. http://dx.doi.org/10.18287/2412-6179-co-677.

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We propose and experimentally implement a new technique for digitally sorting Laguerre-Gaussian (LG) modes by radial number at a constant topological charge, resulting from the pertur-bation of the original LG beam, or superposition thereof, by passing them through a thin dielectric diaphragm with various aperture radii. The technique is based on a digital analysis of higher-order intensity moments. Two types of perturbed beams are considered: non-degenerate and degenerate beams with respect to the initial radial number of the LG beam superposition. A diaphragm with a circular pinhole causes t

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39

Khonina, Svetlana N., and Andrey V. Ustinov. "Thin Light Tube Formation by Tightly Focused Azimuthally Polarized Light Beams." ISRN Optics 2013 (August 19, 2013): 1–6. http://dx.doi.org/10.1155/2013/185495.

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Theoretical and numerical analysis of the transmission function of the focusing system with high numerical aperture was conducted. The purpose of the study was to form a thin light tube in a focal area using the azimuthally polarized radiation. It was analytically shown that, due to destructive interference of two beams formed by two narrow rings, it is possible to overcome not only the full aperture diffraction limit but also the circular aperture limit. In this case, however, the intensity at the center of the focal plane is significantly reduced, which practically leads to the tube rupture.

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40

Ren, Liangke, Zheqiang Zhong, and Bin Zhang. "Transversely polarized ultra-long optical needles generated by cylindrical polarized circular airy gaussian vortex beams." Optics Communications 483 (March 2021): 126618. http://dx.doi.org/10.1016/j.optcom.2020.126618.

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41

Jiang, Huilian, Daomu Zhao, and Zhangrong Mei. "Propagation characteristics of the rectangular flattened Gaussian beams through circular apertured and misaligned optical systems." Optics Communications 260, no. 1 (2006): 1–7. http://dx.doi.org/10.1016/j.optcom.2005.09.075.

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42

Xiao, Zhitao, Yongmin Guo, Lei Geng, et al. "Acoustic Field of a Linear Phased Array: A Simulation Study of Ultrasonic Circular Tube Material." Sensors 19, no. 10 (2019): 2352. http://dx.doi.org/10.3390/s19102352.

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As ultrasonic wave field radiated by an ultrasonic transducer influences the results of ultrasonic nondestructive testing, simulation and emulation are widely used in nondestructive testing. In this paper, a simulation study is proposed to detect defects in a circular tube material. Firstly, the ultrasonic propagation behavior was analyzed, and a formulation of the Multi-Gaussian beam model (MGB) based on a superposition of Gaussian beams is described. The expression of the acoustic field from a linear phased-array ultrasonic transducer in the condition of a convex interface on the circular tu

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43

Liu, Chang, Chai Hu, Dong Wei, et al. "Generating Convergent Laguerre-Gaussian Beams Based on an Arrayed Convex Spiral Phaser Fabricated by 3D Printing." Micromachines 11, no. 8 (2020): 771. http://dx.doi.org/10.3390/mi11080771.

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A convex spiral phaser array (CSPA) is designed and fabricated to generate typical convergent Laguerre-Gaussian (LG) beams. A type of 3D printing technology based on the two-photon absorption effect is used to make the CSPAs with different featured sizes, which present a structural integrity and fabricating accuracy of ~200 nm according to the surface topography measurements. The light field vortex characteristics of the CSPAs are evaluated through illuminating them by lasers with different central wavelength such as 450 nm, 530 nm and 650 nm. It should be noted that the arrayed light fields o

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44

Han, Jianguang, Qingtian Lü, Bingluo Gu, Jiayong Yan, and Hao Zhang. "2D anisotropic multicomponent Gaussian-beam migration under complex surface conditions." GEOPHYSICS 85, no. 2 (2020): S89—S102. http://dx.doi.org/10.1190/geo2018-0841.1.

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Elastic-wave migration in anisotropic media is a vital challenge, particularly for areas with irregular topography. Gaussian-beam migration (GBM) is an accurate and flexible depth migration technique, which is adaptable for imaging complex surface areas. It retains the dynamic features of the wavefield and overcomes the multivalued traveltimes and caustic problems of Kirchhoff migration. We have extended the GBM method to work for 2D anisotropic multicomponent migration under complex surface conditions. We use Gaussian beams to calculate the wavefield from irregular topography, and we use two

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45

SHEN Xue-ju, 沈学举, 许芹祖 XU Qin-zu, 王龙 WANG Long, 韩玉东 HAN Yu-dong, and 王艳奎 WANG Yan-kui. "Propagation Properties of Flattened Gaussian Beams Passing Through an Misaligned Optical System with Misaligned Circular Aperture." ACTA PHOTONICA SINICA 39, no. 10 (2010): 1844–50. http://dx.doi.org/10.3788/gzxb20103910.1844.

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46

Nairat, Mazen. "Axial Angular Momentum of Bessel Light." Photonics Letters of Poland 10, no. 1 (2018): 23. http://dx.doi.org/10.4302/plp.v10i1.787.

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Both linear and angular momentum densities of Bessel, Gaussian-Bessel, and Hankel-Bessel lasers are determined. Angular momentum of the three Bessel beams is illustrated at linear and circular polarization. Axial Angular momentum is resolved in particular interpretation: the harmonic order of the physical light momentum. Full Text: PDF ReferencesG. Molina-Terriza, J. Torres, and L. Torner, "Twisted photons", Nature Physics 3, 305 - 310 (2007). CrossRef J Arlt, V Garces-Chavez, W Sibbett, and K Dholakia "Optical micromanipulation using a Bessel light beam", Opt. Commun., 197, 4-6, (2001). Cross

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47

Wang, Li, Miao Li, Xiqing Wang, and Zhiming Zhang. "Focal switching of partially coherent modified Bessel–Gaussian beams passing through an astigmatic lens with circular aperture." Optics & Laser Technology 41, no. 5 (2009): 586–89. http://dx.doi.org/10.1016/j.optlastec.2008.10.008.

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48

Overfelt, P. L., and C. S. Kenney. "Comparison of the propagation characteristics of Bessel, Bessel–Gauss, and Gaussian beams diffracted by a circular aperture." Journal of the Optical Society of America A 8, no. 5 (1991): 732. http://dx.doi.org/10.1364/josaa.8.000732.

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49

Zhang, Junyong, Qinfeng Xu, and Xingqiang Lu. "Propagation properties of Gaussian beams through the anamorphic fractional Fourier transform system with an eccentric circular aperture." Optik 122, no. 4 (2011): 277–80. http://dx.doi.org/10.1016/j.ijleo.2009.11.032.

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50

George, Th, J. Virieux, and R. Madariaga. "Seismic wave synthesis by Gaussian beam summation: A comparison with finite differences." GEOPHYSICS 52, no. 8 (1987): 1065–73. http://dx.doi.org/10.1190/1.1442372.

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We apply Gaussian beam summation to the calculation of seismic reflections from complex interfaces, introducing several modifications of the original method. First, we use local geographical coordinates for the representation of paraxial rays in the vicinity of the recording surface. In this way we avoid the time‐consuming evaluation of the ray‐centered coordinates of the observation points. Second, we propose a method for selecting the beams that ensures numerical stability of the synthetic seismograms. Third, we introduce a simple source wave packet that simplifies and stabilizes the calcula

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