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1

Hill, N. Ross. "Gaussian beam migration." GEOPHYSICS 55, no. 11 (1990): 1416–28. http://dx.doi.org/10.1190/1.1442788.

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Just as synthetic seismic data can be created by expressing the wave field radiating from a seismic source as a set of Gaussian beams, recorded data can be downward continued by expressing the recorded wave field as a set of Gaussian beams emerging at the earth’s surface. In both cases, the Gaussian beam description of the seismic‐wave propagation can be advantageous when there are lateral variations in the seismic velocities. Gaussian‐beam downward continuation enables wave‐equation calculation of seismic propagation, while it retains the interpretive raypath description of this propagation.
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2

Yang, Zhen Feng. "Numerical Simulations of Two Four-Petal Gaussian Beams Propagating in Strongly Nonlocal Media." Advanced Materials Research 989-994 (July 2014): 1909–12. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.1909.

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The interaction of two four-petal Gaussian beams propagating in strongly nonlocal nonlinear media is investigated. The results show that the intensity evolution of two beams during their propagation is periodical, which is similar to that of a single beam propagation. However the combined optical field of two beams during propagation is more complicated than that of a single beam. During propagation, the two beams are attracted each other, and at the superposed region of two optical fields, the interference fringes appear. The influences of different beam orders and different input powers on t
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3

Zhu, Kaicheng, Jie Zhu, Qin Su, and Huiqin Tang. "Propagation Property of an Astigmatic sin–Gaussian Beam in a Strongly Nonlocal Nonlinear Media." Applied Sciences 9, no. 1 (2018): 71. http://dx.doi.org/10.3390/app9010071.

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Based on the Snyder and Mitchell model, a closed-form propagation expression of astigmatic sin-Gaussian beams through strongly nonlocal nonlinear media (SNNM) is derived. The evolutions of the intensity distributions and the corresponding wave front dislocations are discussed analytically and numerically. It is generally proved that the light field distribution varies periodically with the propagation distance. Furthermore, it is demonstrated that the astigmatism and edge dislocation nested in the initial sin-Gaussian beams greatly influence the pattern configurations and phase singularities d
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4

Misra, Shikha, Sanjay K. Mishra, and P. Brijesh. "Coaxial propagation of Laguerre–Gaussian (LG) and Gaussian beams in a plasma." Laser and Particle Beams 33, no. 1 (2015): 123–33. http://dx.doi.org/10.1017/s0263034615000142.

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AbstractThis paper investigates the non-linear coaxial (or coupled mode) propagation of Laguerre–Gaussian (LG) (in particular L01 mode) and Gaussian electromagnetic (em) beams in a homogeneous plasma characterized by ponderomotive and relativistic non-linearities. The formulation is based on numerical solution of non-linear Schrödinger wave equation under Jeffreys–Wentzel–Kramers–Brillouin approximation, followed by paraxial approach applicable in the vicinity of intensity maximum of the beams. A set of coupled differential equations for spot size (beam width) and phase evolution with space co
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5

Xun, Wang, Huang Kelin, Liu Zhirong, and Zhao Kangyi. "Nonparaxial Propagation of Vectorial Elliptical Gaussian Beams." International Journal of Optics 2016 (2016): 1–7. http://dx.doi.org/10.1155/2016/6427141.

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Based on the vectorial Rayleigh-Sommerfeld diffraction integral formulae, analytical expressions for a vectorial elliptical Gaussian beam’s nonparaxial propagating in free space are derived and used to investigate target beam’s propagation properties. As a special case of nonparaxial propagation, the target beam’s paraxial propagation has also been examined. The relationship of vectorial elliptical Gaussian beam’s intensity distribution and nonparaxial effect with elliptic coefficientαand waist width related parameterfωhas been analyzed. Results show that no matter what value of elliptic coeff
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6

Jovanoski, Zlatko, and Rowland A. Sammut. "Propagation of Cylindrically Symmetric Gaussian Beams in a Higher-Order Nonlinear Medium." Journal of Nonlinear Optical Physics & Materials 06, no. 02 (1997): 209–34. http://dx.doi.org/10.1142/s0218863597000186.

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The propagation of a cylindrically symmetric Gaussian beam in a cubic-quintic nonlinear medium is analysed via a variational approach. Explicit conditions for stationary beam propagation are determined and their stability to symmetric perturbation of the spot width is established. Approximate analytical solutions are secured for the spot width modulation with propagation distance. A comparison is made with beams propagating in a medium exhibiting a two-level saturation.
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7

Yaln Ata, Yalcin Ata, and Yahya Baykal Yahya Baykal. "Anisotropy effect on multi-Gaussian beam propagation in turbulent ocean." Chinese Optics Letters 16, no. 8 (2018): 080102. http://dx.doi.org/10.3788/col201816.080102.

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8

Ma, Xiaolu, Dajun Liu, Yaochuan Wang, Hongming Yin, Haiyang Zhong, and Guiqiu Wang. "Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence." Applied Sciences 10, no. 2 (2020): 450. http://dx.doi.org/10.3390/app10020450.

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In this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation properties, such as normalized average intensity and effective beam sizes of MGSM array beams are investigated and analyzed. It is found that the propagation properties of MGSM array beams depend on the parameters of the MGSM source and turbulence. It can also be seen that the beam size of Gaussian beams translated
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9

Lü, Baida, and Hong Ma. "Beam propagation factor of decentred gaussian and cosine—gaussian beams." Journal of Modern Optics 47, no. 4 (2000): 719–23. http://dx.doi.org/10.1080/09500340008233392.

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10

Lu, Baida, and Not Available Not Available. "Beam propagation factor of decentred Gaussian and cosine-Gaussian beams." Journal of Modern Optics 47, no. 4 (2000): 719–23. http://dx.doi.org/10.1080/095003400148024.

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11

Leung, Shingyu, Jianliang Qian, and Robert Burridge. "Eulerian Gaussian beams for high-frequency wave propagation." GEOPHYSICS 72, no. 5 (2007): SM61—SM76. http://dx.doi.org/10.1190/1.2752136.

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We design an Eulerian Gaussian beam summation method for solving Helmholtz equations in the high-frequency regime. The traditional Gaussian beam summation method is based on Lagrangian ray tracing and local ray-centered coordinates. We propose a new Eulerian formulation of Gaussian beam theory which adopts global Cartesian coordinates, level sets, and Liouville equations, yielding uniformly distributed Eulerian traveltimes and amplitudes in phase space simultaneously for multiple sources. The time harmonic wavefield can be constructed by summing up Gaussian beams with ingredients provided by t
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12

Gupta, Ruchika, Prerana Sharma, M. Rafat, and R. P. Sharma. "Cross-focusing of two hollow Gaussian laser beams in plasmas." Laser and Particle Beams 29, no. 2 (2011): 227–30. http://dx.doi.org/10.1017/s026303461100019x.

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AbstractThis article presents the cross-focusing of two high power dark hollow Gaussian beams in plasma when relativistic nonlinearity is operative. A paraxial like approach has been used in the present analysis. In this study, the non-linear dielectric function has been expanded in terms of radial distance from the maximum of the irradiance, rather than from the axis, as is the case of Gaussian beams. The nature of propagation of a hollow Gaussian beam propagating in plasmas has been studied under the influence of relativistic non-linearity. The effect on the order (n) of hollow Gaussian beam
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13

Lü, Baida, and Shirong Luo. "Beam propagation factor of apertured super-Gaussian beams." Optik 112, no. 11 (2001): 503–6. http://dx.doi.org/10.1078/0030-4026-00090.

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14

Guan, Bing, Haiyang Yu, Wei Song, and Jaeho Choi. "Wave Structure Function and Long-Exposure MTF for Gaussian-Beam Waves Propagating in Anisotropic Maritime Atmospheric Turbulence." Applied Sciences 10, no. 16 (2020): 5484. http://dx.doi.org/10.3390/app10165484.

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The expressions of wave structure function (WSF) and long-exposure modulation transfer function (MTF) for laser beam propagation through non-Kolmogorov turbulence were derived in our previous work. In this paper, based on anisotropic maritime atmospheric non-Kolmogorov spectrum, the new analytic expression of WSF for Gaussian-beam waves propagation through turbulent atmosphere in a horizontal path is derived. Moreover, using this newly derived expression, long-exposure MTF for Gaussian-beam waves is obtained for analyzing the degrading effects in an imaging system. Using the new expressions, W
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15

Zhou Guo-Quan. "Propagation of nonparaxial vector Gaussian beam." Acta Physica Sinica 54, no. 4 (2005): 1572. http://dx.doi.org/10.7498/aps.54.1572.

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16

Zhou, Guoquan, Xiuxiang Chu, and Lihua Zhao. "Propagation characteristics of TM Gaussian beam." Optics & Laser Technology 37, no. 6 (2005): 470–74. http://dx.doi.org/10.1016/j.optlastec.2004.07.006.

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17

Ding Pan-Feng and Pu Ji-Xiong. "Propagation of Laguerre-Gaussian vortex beam." Acta Physica Sinica 60, no. 9 (2011): 094204. http://dx.doi.org/10.7498/aps.60.094204.

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18

Caviglia, Giacomo, and Angelo Morro. "Gaussian beam propagation in dissipative solids." ZAMP Zeitschrift f�r angewandte Mathematik und Physik 45, no. 4 (1994): 599–614. http://dx.doi.org/10.1007/bf00991899.

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19

JOVANOSKI, ZLATKO. "GAUSSIAN BEAM PROPAGATION IN d-DIMENSIONAL CUBIC-QUINTIC NONLINEAR MEDIUM." Journal of Nonlinear Optical Physics & Materials 10, no. 01 (2001): 79–111. http://dx.doi.org/10.1142/s0218863501000450.

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The variational approach has been applied to study the propagation of Gaussian beams in a medium with d-transverse dimensions and a cubic-quintic nonlinearity. We find implicit conditions for the steady-state propagation and determine the stability of steady-state solutions to symmetric perturbations. In some parameter regime the stationary beam is stable and leads to the formation of light-bullets. We have also investigated the evolution of an initial Gaussian beam with finite radius of curvature into a steady-state beam. The results of the variational approach are congruous with recent numer
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20

Gupta, Naveen. "Second harmonic generation of q-Gaussian laser beam in plasma channel created by ignitor heater technique." Laser and Particle Beams 37, no. 2 (2019): 184–96. http://dx.doi.org/10.1017/s0263034619000193.

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AbstractThis paper presents a scheme for second harmonic generation (SHG) of q-Gaussian laser beam in plasma channel created by ignitor heater technique. The ignitor beam creates plasma by tunnel ionization of air. The heater beam heats the plasma electrons and establishes a parabolic density profile. The third beam (q-Gaussian beam) is guided in this plasma channel under the combined effects of density nonuniformity of the plasma channel and relativistic mass nonlinearity of the plasma electrons. The propagation of q-Gaussian laser beam through the plasma channel excites an electron plasma wa
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21

Liu Fei and Ji Xiao-Ling. "Beam propagation factor of cosh-Gaussian array beams propagating through atmospheric turbulence." Acta Physica Sinica 60, no. 1 (2011): 014216. http://dx.doi.org/10.7498/aps.60.014216.

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22

Duan, Mei Ling, Jin Hong Li, and Ji Lin Wei. "Spreading of Partially Coherent Sinh-Gaussian Beams in Slant Atmospheric Turbulence." Advanced Materials Research 774-776 (September 2013): 1695–98. http://dx.doi.org/10.4028/www.scientific.net/amr.774-776.1695.

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Based on the extended Huygens-Fresnel principle, taking the partially coherent sinh-Gaussian (ShG) beam as a typical example of partially coherent beams, the analytical expressions for the root mean square width and angular spread of partially coherent ShG beams in atmospheric turbulence along a slant path are derived, and used to study the influence of propagation path on the propagation of partially coherent ShG beams in atmospheric turbulence. It is shown that the spreading of partially coherent ShG beams along a horizontal path is larger than that along a slant path in atmospheric propagat
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23

Saghafi, S., and C. J. R. Sheppard. "The beam propagation factor for higher order Gaussian beams." Optics Communications 153, no. 4-6 (1998): 207–10. http://dx.doi.org/10.1016/s0030-4018(98)00256-9.

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24

TOCI, GUIDO, MATTEO VANNINI, and RENZO SALIMBENI. "Effects of second-order nonstationary cascaded processes on Gaussian beam propagation." Laser and Particle Beams 17, no. 1 (1999): 119–28. http://dx.doi.org/10.1017/s026303469917109x.

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This work proposes an analytical perturbative method describing the effects on the propagation of finite aperture beams due to the self-phase and self-amplitude modulation which result from cascaded second order interaction of ultrashort light pulses. The method merges the semi-analytical solution with a perturbative beam propagation technique, namely the Gaussian Beam Decomposition, which describes the effects of the non linear modulation on the free beam propagation. In particular we have studied the problem of the time- and intensity-dependent transmission of the pulse through slits or aper
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25

Huang, Yan, Yangsheng Yuan, Xianlong Liu, et al. "Propagation of Optical Coherence Vortex Lattices in Turbulent Atmosphere." Applied Sciences 8, no. 12 (2018): 2476. http://dx.doi.org/10.3390/app8122476.

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Propagation properties in the turbulence atmosphere of the optical coherence vortex lattices (OCVLs) are explored by the recently developed convolution approach. The evolution of spectral density distribution, the normalized M 2 -factor, and the beam wander of the OCVLs propagating through the atmospheric turbulence with Tatarskii spectrum are illustrated numerically. Our results show that the OCVLs display interesting propagation properties, e.g., the initial Gaussian beam distribution will evolve into hollow array distribution on propagation and finally becomes a Gaussian beam spot again in
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26

Dadalyan, Tigran, Lusine Tsarukyan, and Rafael Drampyan. "Optical-trapping of a red Bessel beam controlled by co-propagating green Gaussian beam in azobenzene liquid crystal." Journal of Nonlinear Optical Physics & Materials 28, no. 02 (2019): 1950017. http://dx.doi.org/10.1142/s0218863519500176.

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Simultaneous co-propagation of red nondiffracting Bessel beam and green Gaussian beam at milliwatt powers in a photosensitive azobenzene liquid crystal has been studied. The fine displacement of the narrow-width Gaussian beam relative to the Bessel beam central maximum showed the Bessel beam distortion and controlled bending of its core in the direction opposite to the location of green Gaussian beam. After switching off the green beam, the dynamics of restoration of Bessel beam demonstrated the pronounced optical-trapping feature of its central core and transient soliton-like propagation with
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27

Liu, Yonglei, Yuefeng Zhao, Xianlong Liu, et al. "Statistical Characteristics of a Twisted Anisotropic Gaussian Schell-Model Beam in Turbulent Ocean." Photonics 7, no. 2 (2020): 37. http://dx.doi.org/10.3390/photonics7020037.

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The analytical expression of the cross-spectral density function of a twisted anisotropic Gaussian Schell-model (TAGSM) beam transmitting in turbulent ocean is derived by applying a tensor method. The statistical properties, including spectral density, the strength of twist and beam width of the propagating beam are studied carefully through numerical examples. It is demonstrated that the turbulence of ocean has no effect on the rotation direction of the beam spot during propagation. However, the beam shape will degrade into a Gaussian profile under the action of oceanic turbulence with suffic
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28

Li, Jin Hong, Mei Ling Duan, and Ji Lin Wei. "Evolution of Intensity Distribution of Partially Coherent Sinusoidal-Gaussian Beams through Slant Atmospheric Turbulence." Applied Mechanics and Materials 263-266 (December 2012): 1214–18. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.1214.

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Based on the extended Huygens-Fresnel principle, the analytical expressions for the intensity of partially coherent sinusoidal-Gaussian beams with Schell-model correlator in atmospheric turbulence along a slant path are derived, and used to study the evolution of intensity distribution of partially coherent sinusoidal-Gaussian beams, including partially coherent sin-Gaussian (SiG), cos-Gaussian (CoG), sinh-Gaussian (ShG), cosh-Gaussian (ChG) beams. It is shown that the different intensity distribution at the source plane of the four beams evolve to the same Gaussian distribution in atmospheric
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29

Zhou, Guoquan, and Jun Zheng. "Beam propagation of a higher-order cosh-Gaussian beam." Optics & Laser Technology 41, no. 2 (2009): 202–8. http://dx.doi.org/10.1016/j.optlastec.2008.05.002.

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30

Urunkar, T. U., S. D. Patil, A. T. Valkunde, B. D. Vhanmore, K. M. Gavade, and M. V. Takale. "On the exploration of graphical and analytical investigation of effect of critical beam power on self-focusing of cosh-Gaussian laser beams in collisionless magnetized plasma." Laser and Particle Beams 36, no. 2 (2018): 254–60. http://dx.doi.org/10.1017/s0263034618000253.

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AbstractThe paper gives graphical and analytical investigation of the effect of critical beam power on self-focusing of cosh-Gaussian laser beams in collisionless magnetized plasma under ponderomotive non-linearity. The standard Akhmanov's parabolic equation approach under Wentzel–Kramers–Brillouin (WKB) and paraxial approximations is employed to investigate the propagation of cosh-Gaussian laser beams in collisionless magnetized plasma. Especially, the concept of numerical intervals and turning points of critical beam power has evolved through graphical analysis of beam-width parameter differ
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31

Wang, Xinguang, Le Wang, and Shengmei Zhao. "Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation." Journal of Marine Science and Engineering 9, no. 4 (2021): 442. http://dx.doi.org/10.3390/jmse9040442.

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In this paper, we use two methods to research the propagation characteristics of a Hypergeometric-Gaussian (HyGG) vortex beam under oceanic turbulence. One is numerical calculation based on the Rytov approximation theory, where the theoretical detection probability equation of the HyGG vortex beam propagating through oceanic turbulence is derived. The other is numerical simulation based on random phase screens model of oceanic turbulence, where the influences generated by oceanic turbulence on the phase and intensity of the propagation beam as well as the propagation of the beam through severa
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32

Sodha, M. S., S. Misra, and S. K. Mishra. "Growth of a ring ripple on a Gaussian electromagnetic beam in a plasma with relativistic - ponderomotive nonlinearity." Laser and Particle Beams 27, no. 4 (2009): 689–98. http://dx.doi.org/10.1017/s0263034609990413.

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AbstractThis paper presents a theoretical model for the propagation/growth of a ring ripple, on a Gaussian electromagnetic beam, propagating in plasma with dominant relativistic-ponderomotive nonlinearity. A paraxial like approach has been invoked to understand the nature of propagation of the ring ripple like instability; in this approach, all the relevant parameters correspond to a narrow range around the irradiance maximum of the ring ripple. The dielectric function is determined by the composite (Gaussian and ripple) electric field profile of the beam. Thus, a unique dielectric function fo
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33

Hong Minfang, 洪敏芳, 沈建琪 Shen Jianqi, 张秋长 Zhang Qiuchang, and 于彬 Yu Bin. "Propagation of Gaussian Beam through Planar Interface." Chinese Journal of Lasers 38, no. 7 (2011): 0702005. http://dx.doi.org/10.3788/cjl201138.0702005.

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34

Bucker, Homer. "Simple 3‐D Gaussian beam propagation model." Journal of the Acoustical Society of America 90, no. 4 (1991): 2372. http://dx.doi.org/10.1121/1.402093.

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35

Norris, A. N. "Gaussian beam propagation on cylindrical thin shells." Journal of the Acoustical Society of America 84, S1 (1988): S149. http://dx.doi.org/10.1121/1.2025859.

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36

Hadad, Yakir, and Timor Melamed. "Tilted Gaussian beam propagation in inhomogeneous media." Journal of the Optical Society of America A 27, no. 8 (2010): 1840. http://dx.doi.org/10.1364/josaa.27.001840.

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37

Eyyuboğlu, Halil T., and Mert Bayraktar. "Propagation properties of cylindrical sinc Gaussian beam." Journal of Modern Optics 63, no. 17 (2016): 1706–12. http://dx.doi.org/10.1080/09500340.2016.1170902.

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38

Doronin, Alexander, Nicolás Vera, Juan Staforelli, Pablo Coelho, and Igor Meglinski. "Propagation of Cylindrical Vector Laser Beams in Turbid Tissue-Like Scattering Media." Photonics 6, no. 2 (2019): 56. http://dx.doi.org/10.3390/photonics6020056.

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We explore the propagation of the cylindrical vector beams (CVB) in turbid tissue-like scattering medium in comparison with the conventional Gaussian laser beam. The study of propagation of CVB and Gaussian laser beams in the medium is performed utilizing the unified electric field Monte Carlo model. The implemented Monte Carlo model is a part of a generalized on-line computational tool and utilizes parallel computing, executed on the NVIDIA Graphics Processing Units (GPUs) supporting Compute Unified Device Architecture (CUDA). Using extensive computational studies, we demonstrate that after p
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39

Kovalev, Alexey A., Victor V. Kotlyar, and Darya S. Kalinkina. "Propagation-Invariant Off-Axis Elliptic Gaussian Beams with the Orbital Angular Momentum." Photonics 8, no. 6 (2021): 190. http://dx.doi.org/10.3390/photonics8060190.

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We studied paraxial light beams, obtained by a continuous superposition of off-axis Gaussian beams with their phases chosen so that the whole superposition is invariant to free-space propagation, i.e., does not change its transverse intensity shape. Solving a system of five nonlinear equations for such superpositions, we obtained an analytical expression for a propagation-invariant off-axis elliptic Gaussian beam. For such an elliptic beam, an analytical expression was derived for the orbital angular momentum, which was shown to consist of two terms. The first one is intrinsic and describes th
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40

Li, Chang Wei, Xiao Ping Kang, and Zhong He. "Changes in the Beam Parameters of Partially Coherent Sinh-Gaussian Beams after Passage through an Astigmatic Lens." Applied Mechanics and Materials 738-739 (March 2015): 434–39. http://dx.doi.org/10.4028/www.scientific.net/amm.738-739.434.

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Based on the propagation law of partially coherent beams, the analytical expression of the beam width, waist positions and the far-field divergence angle of partially coherent sinh-Gaussian (ShG) beams through an astigmatic lens were derived. The effect of astigmatism and spatial coherence parameter on the beam parameters was mainly analyzed. It is found that the beam width depends on the astigmatic coefficient, spatial coherence parameter, decentered parameter, fresnel number and propagation distance in general. The astigmatism results in a difference between the beam widths, waist positions
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41

Lü, Baida, and Shirong Luo. "Beam propagation factor of hard-edge diffracted cosh-Gaussian beams." Optics Communications 178, no. 4-6 (2000): 275–81. http://dx.doi.org/10.1016/s0030-4018(00)00662-3.

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42

Ji, Xiaoling, Tingrong Zhang, and Xinhong Jia. "Beam propagation factor of partially coherent Hermite–Gaussian array beams." Journal of Optics A: Pure and Applied Optics 11, no. 10 (2009): 105705. http://dx.doi.org/10.1088/1464-4258/11/10/105705.

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43

Kang, Xiaoping, and Baida Lü. "The Beam Propagation Factor of Nonparaxial Truncated Flattened Gaussian Beams." Optical and Quantum Electronics 38, no. 7 (2006): 547–56. http://dx.doi.org/10.1007/s11082-005-4657-8.

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44

Cirant, S., S. Nowak, and A. Orefice. "Wave dispersoin and resonant deposition profiles of electron-cyclotron Gaussian beams in toroidal plasmas." Journal of Plasma Physics 53, no. 3 (1995): 345–64. http://dx.doi.org/10.1017/s0022377800018250.

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A peculiarity of the quasi-optical propagation of a Gaussian beam of electromagnetic waves is that it requires a treatment taking account, step by step, of all of its rays together. The dispersion relation from which such a ray- tracing may be deduced is in fact characterized not only by the medium where the beam is launched but also by the intrinsic beam structure. The behaviour of three-dimensional Gaussian beams in the electron-cyclotron frequency range is considered, with particular attention paid to their propagation in toroidal plasmas of fusion interest (with ITER-like parameters and va
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45

Zhou, Guoquan. "Generalized beam propagation factors of truncated partially coherent cosine-Gaussian and cosh-Gaussian beams." Optics & Laser Technology 42, no. 3 (2010): 489–96. http://dx.doi.org/10.1016/j.optlastec.2009.09.003.

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46

Kumar, S., P. K. Gupta, R. K. Singh, R. Uma, and R. P. Sharma. "Self-compression of two co-propagating laser pulse having relativistic nonlinearity in plasma." Laser and Particle Beams 35, no. 4 (2017): 722–29. http://dx.doi.org/10.1017/s0263034617000787.

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AbstractThe study proposes a semi-analytical model for the pulse compression of two co-propagating intense laser beams having Gaussian intensity profile in the temporal domain. The high power laser beams create the relativistic nonlinearity during propagation in plasma, which leads to the modification of the refractive index profile. The co-propagating laser beams get self- compressed by virtue of group velocity dispersion and induced nonlinearity. The induced nonlinearity in the plasma broadens the frequency spectrum of the pulse via self-phase modulation, turn to shorter the pulse duration a
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47

Zhang, Jipeng, Jing Wang, Hongkun Huang, et al. "Propagation Characteristics of a Twisted Cosine-Gaussian Correlated Radially Polarized Beam." Applied Sciences 8, no. 9 (2018): 1485. http://dx.doi.org/10.3390/app8091485.

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Recently, partially coherent beams with twist phases have attracted growing interest due to their nontrivial dynamic characteristics. In this work, the propagation characteristics of a twisted cosine-Gaussian correlated radially polarized beam such as the spectral intensity, the spectral degree of coherence, the degree of polarization, the state of polarization, and the spectral change are investigated in detail. Due to the presence of the twisted phase, the beam spot, the degree of coherence, and the state of polarization experience rotation during transmission, but the degree of polarization
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48

Li, Ya Qing, Zhen Sen Wu, Yuan Yuan Zhang, and Han Lu Zhang. "Study of Aperture-Averaged Scintillation for a Partially Coherent Gaussian Schell-Model Beam Propagation in Slant Atmospheric Turbulence." Advanced Materials Research 571 (September 2012): 337–41. http://dx.doi.org/10.4028/www.scientific.net/amr.571.337.

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Based on the extended Huygens-Fresnel principle, scintillation of a partially coherent Gaussian Schell-model (GSM) beam propagation in weakly slant atmospheric turbulence is studied. The expression of aperture-averaging factor of the system receiver is derived. We analyzed the aperture-averaged scintillation index numerically. A comparison of the aperture-averaged scintillation of the beam propagation in slant path with that of the beam propagation in horizontal path is made. Results obtained show using partially coherent beams and considering aperture-averaging effect can decrease the scintil
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49

MISRA, SHIKHA, and S. K. MISHRA. "Focusing of a ring ripple on a Gaussian electromagnetic beam in a magnetoplasma." Journal of Plasma Physics 75, no. 4 (2009): 545–61. http://dx.doi.org/10.1017/s002237780900782x.

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AbstractIn this paper we present a theoretical investigation of the growth/propagation of a ring ripple, superposed on a Gaussian electromagnetic beam propagating along the direction of magnetic field in a magnetoplasma. The nature of propagation of the ripple is analysed in a paraxial-like approximation by radial expansion of the dielectric function, corresponding to the composite (Gaussian and ripple) electric field profile of the beam around the position of the maximum of the ripple. The two cases of collisional plasmas (with negligible thermal conduction) and collisionless plasmas (dominan
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50

Zhang, Entao, Xiaoling Ji, Dangxiao Yang, and Baida Lü. "Propagation and far-field beam quality ofM×NHermite–Gaussian beams propagating through atmospheric turbulence." Journal of Modern Optics 55, no. 3 (2008): 387–400. http://dx.doi.org/10.1080/09500340701452530.

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