Propagation characteristics of Gaussian–Schell model beams through optical systems in Kerr media

2020 ◽  
Vol 37 (8) ◽  
pp. 1282
Author(s):  
Jing Hu ◽  
Huan Wang ◽  
Xiaoling Ji ◽  
Yu Deng ◽  
Lifeng Chen
Keyword(s):  
Optical Systems ◽  
Propagation Characteristics ◽  
Kerr Media

scholarly journals Anomalous Propagation Characteristics of Airy Beam in Nonlinear Kerr Media

Crystals ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 879
Author(s):  
Li Shao ◽  
Yun-Long Wu ◽  
Qing Ye
Keyword(s):  
Bound States ◽  
Quasi Equilibrium ◽  
Spatial Solitons ◽  
Propagation Characteristics ◽  
Transform Method ◽  
Nonlinear Media ◽  
Kerr Media ◽  
Airy Beam ◽  
Normal Breathing ◽  
Anomalous Propagation

The propagation characteristics of a single Airy beam in nonlinear Kerr media were numerically investigated by utilizing the split-step Fourier transform method. We show that in addition to normal breathing solitons, the anomalous bound states of Airy spatial solitons can also be formed, which are similar to the states formed in the interaction between two Airy beams in nonlinear media. This quasi-equilibrium state is formed by the interaction of the main soliton beam and side lobes of Airy beam due to their different propagation trajectories in the nonlinear media. Moreover, it has been shown the Airy spatial solitons in tree structure can be formed by adjusting the initial parameters in the interaction between the Airy beam and Kerr media.

Dynamics of multi-soliton and breather solutions for a new semi-discrete coupled system related to coupled NLS and coupled complex mKdV equations

2018 ◽  
Vol 32 (28) ◽  
pp. 1850340 ◽  
Author(s):  
Hao-Tian Wang ◽  
Xiao-Yong Wen
Keyword(s):  
Numerical Scheme ◽  
Soliton Solutions ◽  
Coupled System ◽  
Elastic Interaction ◽  
Lax Pair ◽  
Propagation Characteristics ◽  
Circularly Polarized ◽  
Kerr Media ◽  
Short Period ◽  
Plane Wave Background

In this paper, a new semi-discrete coupled system which was firstly proposed by Bronsard and Pelinovsky is under investigation. Based on its known Lax pair, the infinitely-many conservation laws and discrete N-fold DT for this system are constructed. As applications, bell-shaped multi-soliton and breather solutions in terms of determinants for this system are firstly derived by means of the discrete N-fold DT. Propagation and elastic interaction structures of such soliton solutions are shown graphically: (1) Propagation characteristics of one-, two-, three- and four-soliton solutions are discussed from vanishing background. (2) Propagation characteristics of one- and two-breather solutions are analyzed from the plane wave background. The details of the dynamical evolutions for such soliton and breather solutions are studied via numerical simulations. Numerical results show the accuracy of our numerical scheme and the stable evolutions of these solitons with or without a noise in a relatively short period of time, while the evolutions exhibit obviously larger oscillations and strong instability with the increase in time. These results may be useful for understanding the propagation of orthogonally polarized optical waves in an isotropic medium and circularly polarized few-cycle pulses in Kerr media described by the coupled NLS and coupled complex mKdV equations, respectively.

Atomic Resolution in Crystal Aperture Stem

1990 ◽  
Vol 48 (1) ◽  
pp. 236-237
Author(s):  
J T Fourie
Keyword(s):  
Optical System ◽  
Spherical Aberration ◽  
Three Dimensional ◽  
Transmission Function ◽  
Optical Systems ◽  
Bragg Angle ◽  
Electron Optical System ◽  
Intimate Contact ◽  
Diffraction Effects ◽  
Design Aspect

The attempts at improvement of electron optical systems to date, have largely been directed towards the design aspect of magnetic lenses and towards the establishment of ideal lens combinations. In the present work the emphasis has been placed on the utilization of a unique three-dimensional crystal objective aperture within a standard electron optical system with the aim to reduce the spherical aberration without introducing diffraction effects. A brief summary of this work together with a description of results obtained recently, will be given.The concept of utilizing a crystal as aperture in an electron optical system was introduced by Fourie who employed a {111} crystal foil as a collector aperture, by mounting the sample directly on top of the foil and in intimate contact with the foil. In the present work the sample was mounted on the bottom of the foil so that the crystal would function as an objective or probe forming aperture. The transmission function of such a crystal aperture depends on the thickness, t, and the orientation of the foil. The expression for calculating the transmission function was derived by Hashimoto, Howie and Whelan on the basis of the electron equivalent of the Borrmann anomalous absorption effect in crystals. In Fig. 1 the functions for a g220 diffraction vector and t = 0.53 and 1.0 μm are shown. Here n= Θ‒ΘB, where Θ is the angle between the incident ray and the (hkl) planes, and ΘB is the Bragg angle.

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