The propagation of hollow Gaussian beams in strongly nonlocal nonlinear media is studied in detail. Two analytical expressions are derived. For hollow Gaussian beams, the intensity distribution always evolves periodic...The propagation of hollow Gaussian beams in strongly nonlocal nonlinear media is studied in detail. Two analytical expressions are derived. For hollow Gaussian beams, the intensity distribution always evolves periodically. However the second-order moment beam width can keep invariant during propagation if the input power is equal to the critical power. The interaction of two hollow Gaussian beams and the vortical hollow Gaussian beams are also discussed. The vortical hollow Gaussian beams with an appropriate topological charge can keep their shapes invariant during propagation.展开更多
The far-field propagation properties of conical double half-Gaussian hollow beams in the condition of Collins formula are studied. Because of the cone angle of this kind of hollow beams, the diffraction is compensated...The far-field propagation properties of conical double half-Gaussian hollow beams in the condition of Collins formula are studied. Because of the cone angle of this kind of hollow beams, the diffraction is compensated and the inner diameter is turning bigger by the rule of geometric optics as the propagation distance is increasing, whereas the degenerating diffraction phenomenon is turned out. The far-field intensity distribution of the conical double half-Gaussian hollow beams in the condition of in-Collins formula is researched, and the results show that the far-field propagation properties can be depicted by this model. In the experiment, this kind of hollow beams are obtained by means of the dual-reflecting splitting optical system, and the inner diameter of the hollow beams is tested. The results show good agreement with the propagation theory in the condition of in-Collins formula.展开更多
利用JUNG P S等提出的竞争非局域模型,研究了高斯光束在竞争非局域非线性损耗介质中的传输特性。利用变分法得到孤子参数之间的解析关系式,在此基础上给出无损耗情况下亮孤子临界功率和亮孤子势能函数。利用势能函数分析了无损耗情况下...利用JUNG P S等提出的竞争非局域模型,研究了高斯光束在竞争非局域非线性损耗介质中的传输特性。利用变分法得到孤子参数之间的解析关系式,在此基础上给出无损耗情况下亮孤子临界功率和亮孤子势能函数。利用势能函数分析了无损耗情况下亮孤子宽度和入射功率的关系。当损耗较小时,入射功率在小于、等于和大于临界功率情况下,亮孤子均以准呼吸子形式传输,在传输过程中光束宽度逐渐增大。该变分结论与数值结论相符。最后,利用平方算子迭代法求出无损耗时的孤子解,并把该孤子解作为分步傅里叶算法的初始输入仿真了小损耗和小增益时的光束传输特性。当有小增益时,亮孤子也以准呼吸子形式传输,传输过程中光束宽度逐渐减小。研究结果表明,损耗或增益的存在对光束传输影响的效果很明显,可以利用材料的损耗或增益对光束整形。展开更多
A kind of hollow vortex Gaussian beam is introduced. Based on the Collins integral, an analytical propagation formula of a hollow vortex Gaussian beam through a paraxial ABCD optical system is derived. Due to the spec...A kind of hollow vortex Gaussian beam is introduced. Based on the Collins integral, an analytical propagation formula of a hollow vortex Gaussian beam through a paraxial ABCD optical system is derived. Due to the special distribution of the optical field, which is caused by the initial vortex phase, the dark region of a hollow vortex Gaussian beam will not disappear upon propagation. The analytical expressions for the beam propagation factor, the kurtosis parameter, and the orbital angular mo- mentum density of a hollow vortex Gaussian beam passing through a paraxial ABCD optical system are also derived, respec- tively. The beam propagation factor is determined by the beam order and the topological charge. The kurtosis parameter and the orbital angular momentum density depend on beam order n, topological charge m, parameter y, and transfer matrix ele- ments A and D. As a numerical example, the propagation properties of a hollow vortex Gaussian beam in free space are demonstrated. The hollow vortex Gaussian beam has eminent propagation stability and has crucial application prospects in op- tical micromanipulation.展开更多
This paper studies analytically and numerically the dynamics of two-dimensional elliptical Gaussian solitons in a ＂double-self-focusing＂ synthetic nonlocal media featuring elliptical and circular Gaussian response w...This paper studies analytically and numerically the dynamics of two-dimensional elliptical Gaussian solitons in a ＂double-self-focusing＂ synthetic nonlocal media featuring elliptical and circular Gaussian response with different degrees of nonlocality. Based on the variational approach, it obtains the approximately analytical solution of such Gaussian elliptical solitons. It also computes the stability of the solitons by numerical simulations.展开更多
基金Project supported by National Natural Science Foundation of China (Grant Nos. 10804033 and 10674050)Program for Innovative Research Team of Higher Education of Guangdong Province of China (Grant No. 06CXTD005)+1 种基金the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 200805740002)the Natural Science Foundation of Hebei Province of China (Grant No. F2009000321)
文摘The propagation of hollow Gaussian beams in strongly nonlocal nonlinear media is studied in detail. Two analytical expressions are derived. For hollow Gaussian beams, the intensity distribution always evolves periodically. However the second-order moment beam width can keep invariant during propagation if the input power is equal to the critical power. The interaction of two hollow Gaussian beams and the vortical hollow Gaussian beams are also discussed. The vortical hollow Gaussian beams with an appropriate topological charge can keep their shapes invariant during propagation.
基金supported by the National Natural Science Foundation of China (Grant No. KB92009)
文摘The far-field propagation properties of conical double half-Gaussian hollow beams in the condition of Collins formula are studied. Because of the cone angle of this kind of hollow beams, the diffraction is compensated and the inner diameter is turning bigger by the rule of geometric optics as the propagation distance is increasing, whereas the degenerating diffraction phenomenon is turned out. The far-field intensity distribution of the conical double half-Gaussian hollow beams in the condition of in-Collins formula is researched, and the results show that the far-field propagation properties can be depicted by this model. In the experiment, this kind of hollow beams are obtained by means of the dual-reflecting splitting optical system, and the inner diameter of the hollow beams is tested. The results show good agreement with the propagation theory in the condition of in-Collins formula.
文摘利用JUNG P S等提出的竞争非局域模型,研究了高斯光束在竞争非局域非线性损耗介质中的传输特性。利用变分法得到孤子参数之间的解析关系式,在此基础上给出无损耗情况下亮孤子临界功率和亮孤子势能函数。利用势能函数分析了无损耗情况下亮孤子宽度和入射功率的关系。当损耗较小时,入射功率在小于、等于和大于临界功率情况下,亮孤子均以准呼吸子形式传输,在传输过程中光束宽度逐渐增大。该变分结论与数值结论相符。最后,利用平方算子迭代法求出无损耗时的孤子解,并把该孤子解作为分步傅里叶算法的初始输入仿真了小损耗和小增益时的光束传输特性。当有小增益时,亮孤子也以准呼吸子形式传输,传输过程中光束宽度逐渐减小。研究结果表明,损耗或增益的存在对光束传输影响的效果很明显,可以利用材料的损耗或增益对光束整形。
基金the support by the National Natural Science Foundation of China (Grant Nos.10974179 and 61178016),the support by the National Natural Science Foundation of China (Grant No.10904102)the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No.200928)+2 种基金the Natural Science of Jiangsu Province (Grant No.BK2009114)the Huo Ying Dong Education Foundation of China (Grant No.121009)the Key Project of Chinese Ministry of Education (Grant No.210081)
文摘A kind of hollow vortex Gaussian beam is introduced. Based on the Collins integral, an analytical propagation formula of a hollow vortex Gaussian beam through a paraxial ABCD optical system is derived. Due to the special distribution of the optical field, which is caused by the initial vortex phase, the dark region of a hollow vortex Gaussian beam will not disappear upon propagation. The analytical expressions for the beam propagation factor, the kurtosis parameter, and the orbital angular mo- mentum density of a hollow vortex Gaussian beam passing through a paraxial ABCD optical system are also derived, respec- tively. The beam propagation factor is determined by the beam order and the topological charge. The kurtosis parameter and the orbital angular momentum density depend on beam order n, topological charge m, parameter y, and transfer matrix ele- ments A and D. As a numerical example, the propagation properties of a hollow vortex Gaussian beam in free space are demonstrated. The hollow vortex Gaussian beam has eminent propagation stability and has crucial application prospects in op- tical micromanipulation.
基金Project supported by the National Natural Science Foundation of China (Grant No. 60808002)the Shanghai Leading Academic Discipline Program,China (Grant No. S30105)
文摘This paper studies analytically and numerically the dynamics of two-dimensional elliptical Gaussian solitons in a ＂double-self-focusing＂ synthetic nonlocal media featuring elliptical and circular Gaussian response with different degrees of nonlocality. Based on the variational approach, it obtains the approximately analytical solution of such Gaussian elliptical solitons. It also computes the stability of the solitons by numerical simulations.
