Under the paraxial approximation, the analytical propagation expression of an Airy–Gaussian beam（Ai GB） in uniaxial crystals orthogonal to the optical axis is investigated. The propagation dynamics of the Ai GB is ...Under the paraxial approximation, the analytical propagation expression of an Airy–Gaussian beam（Ai GB） in uniaxial crystals orthogonal to the optical axis is investigated. The propagation dynamics of the Ai GB is given for different ratios of the extraordinary index to the ordinary refractive index. It has been found that the continuity and the self-bending effect of Ai GB become weaker when the ratio increases. From the figure of the maximum intensity of Ai GB, one can see that the maximum intensity is not monotone decreasing due to the anisotropic effect of the crystals. The intensity distribution of Ai GB in different distribution factors is shown. The Ai GB converges toward a Gaussian beam as the distribution factor increases.展开更多
Based on the nonlinear Schr o¨dinger equation, the interactions of the two Airy–Gaussian components in the incidence are analyzed in saturable media, under the circumstances of the same amplitude and different a...Based on the nonlinear Schr o¨dinger equation, the interactions of the two Airy–Gaussian components in the incidence are analyzed in saturable media, under the circumstances of the same amplitude and different amplitudes, respectively. It is found that the interaction can be both attractive and repulsive depending on the relative phase. The smaller the interval between two Airy–Gaussian components in the incidence is, the stronger the intensity of the interaction. However, with the equal amplitude, the symmetry is shown and the change of quasi-breathers is opposite in the in-phase case and out-of-phase case. As the distribution factor is increased, the phenomena of the quasi-breather and the self-accelerating of the two Airy–Gaussian components are weakened. When the amplitude is not equal, the image does not have symmetry. The obvious phenomenon of the interaction always arises on the side of larger input power in the incidence. The maximum intensity image is also simulated. Many of the characteristics which are contained within other images can also be concluded in this figure.展开更多
We construct analytically linear self-accelerating Airy elegant Ince-Gaussian wave packet solutions from （3＋1）-dimensional potential-free Schr？dinger equation. These wave packets have elliptical geometry and show ...We construct analytically linear self-accelerating Airy elegant Ince-Gaussian wave packet solutions from （3＋1）-dimensional potential-free Schr？dinger equation. These wave packets have elliptical geometry and show different characteristics when the parameters （p, m） and ellipticity ε are adjusted. We investigate these characteristics both analytically and numerically and give the 3-dimensional intensity and phase distribution of these wave packets. Lastly, we analyze the radiation forces on a Rayleigh dielectric particle. In addition, we also find an interesting phenomenon that if the energy distribution between every part of wave packets is uneven at the input plane, the energy will be transferred between every part in the process of transmission.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11374108 and 10904041)the Foundation for the Author of Guangdong Provincial Excellent Doctoral Dissertation+6 种基金China(Grant No.SYBZZXM201227)the Foundation of Cultivating Outstanding Young Scholars("ThousandHundredTen"Program)of Guangdong Province in Chinathe Fund from the Key Laboratory of Geospace EnvironmentUniversity of Science and Technology of ChinaChinese Academy of Sciences
文摘Under the paraxial approximation, the analytical propagation expression of an Airy–Gaussian beam（Ai GB） in uniaxial crystals orthogonal to the optical axis is investigated. The propagation dynamics of the Ai GB is given for different ratios of the extraordinary index to the ordinary refractive index. It has been found that the continuity and the self-bending effect of Ai GB become weaker when the ratio increases. From the figure of the maximum intensity of Ai GB, one can see that the maximum intensity is not monotone decreasing due to the anisotropic effect of the crystals. The intensity distribution of Ai GB in different distribution factors is shown. The Ai GB converges toward a Gaussian beam as the distribution factor increases.
基金supported by the National Natural Science Foundation of China(Grant Nos.11374108 and 10904041)the Foundation for the Author of Guangdong Province Excellent Doctoral Dissertation(Grant No.SYBZZXM201227)+1 种基金the Foundation of Cultivating Outstanding Young Scholars("Thousand,Hundred,Ten"Program)of Guangdong Province,ChinaCAS Key Laboratory of Geospace Environment,University of Science and Technology of China
文摘Based on the nonlinear Schr o¨dinger equation, the interactions of the two Airy–Gaussian components in the incidence are analyzed in saturable media, under the circumstances of the same amplitude and different amplitudes, respectively. It is found that the interaction can be both attractive and repulsive depending on the relative phase. The smaller the interval between two Airy–Gaussian components in the incidence is, the stronger the intensity of the interaction. However, with the equal amplitude, the symmetry is shown and the change of quasi-breathers is opposite in the in-phase case and out-of-phase case. As the distribution factor is increased, the phenomena of the quasi-breather and the self-accelerating of the two Airy–Gaussian components are weakened. When the amplitude is not equal, the image does not have symmetry. The obvious phenomenon of the interaction always arises on the side of larger input power in the incidence. The maximum intensity image is also simulated. Many of the characteristics which are contained within other images can also be concluded in this figure.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11374108,11374107,and 11775083)the Funds from CAS Key Laboratory of Geospace Environment,University of Science and Technology of Chinathe Innovation Project of Graduate School of South China Normal University(Grant No.2016lkxm64)
文摘We construct analytically linear self-accelerating Airy elegant Ince-Gaussian wave packet solutions from （3＋1）-dimensional potential-free Schr？dinger equation. These wave packets have elliptical geometry and show different characteristics when the parameters （p, m） and ellipticity ε are adjusted. We investigate these characteristics both analytically and numerically and give the 3-dimensional intensity and phase distribution of these wave packets. Lastly, we analyze the radiation forces on a Rayleigh dielectric particle. In addition, we also find an interesting phenomenon that if the energy distribution between every part of wave packets is uneven at the input plane, the energy will be transferred between every part in the process of transmission.
