The relation between optical beam propagation in free space and in strongly nonlocal nonlinear media Export

@article{citeulike:4684589, abstract = {The relation between optical beam propagation in strongly nonlocal nonlinear (SNN) media and {propagation} in free space is {demonstrated using} the technique of variable transformation. The governing equation, integral and analytical solutions, and propagation properties in free space can be directly transferred to their counterparts in SNN media through a one-to-one correspondence. The one-to-one correspondence together with the Huygens-Fresnel integral yields an efficient numerical method to describe SNN propagation. The existence conditions and possible structures of solitons and breathers in SNN media are described in a unified manner by comparing propagation properties in SNN media with those in free space. The results can be employed in other contexts in which the governing equation for the evolution of waves is equivalent to that in SNN media, such as for quadratic graded-index media, or for harmonically trapped Bose-Einstein condensates in the noninteracting limit.}, archivePrefix = {arXiv}, author = {Lu, Daquan and Hu, Wei and Guo, Qi}, citeulike-article-id = {4684589}, citeulike-linkout-0 = {http://arxiv.org/abs/0807.0701}, citeulike-linkout-1 = {http://arxiv.org/pdf/0807.0701}, day = {28}, eprint = {0807.0701}, keywords = {beams, breathers, directed-energy, free-space, media, nonlinearity, nonlocality, quantum-entanglement, quantum-vacuum, solitons}, month = {May}, posted-at = {2009-06-12 12:12:50}, priority = {2}, title = {The relation between optical beam propagation in free space and in strongly nonlocal nonlinear media}, url = {http://arxiv.org/abs/0807.0701}, year = {2009} }

TY - JOUR ID - citeulike:4684589 L3 - citeulike-article-id:4684589 N2 - The relation between optical beam propagation in strongly nonlocal nonlinear (SNN) media and {propagation} in free space is {demonstrated using} the technique of variable transformation. The governing equation, integral and analytical solutions, and propagation properties in free space can be directly transferred to their counterparts in SNN media through a one-to-one correspondence. The one-to-one correspondence together with the Huygens-Fresnel integral yields an efficient numerical method to describe SNN propagation. The existence conditions and possible structures of solitons and breathers in SNN media are described in a unified manner by comparing propagation properties in SNN media with those in free space. The results can be employed in other contexts in which the governing equation for the evolution of waves is equivalent to that in SNN media, such as for quadratic graded-index media, or for harmonically trapped Bose-Einstein condensates in the noninteracting limit. TI - The relation between optical beam propagation in free space and in strongly nonlocal nonlinear media KW - beams KW - breathers KW - directed-energy KW - free-space KW - media KW - nonlinearity KW - nonlocality KW - quantum-entanglement KW - quantum-vacuum KW - solitons AU - Lu, Daquan AU - Hu, Wei AU - Guo, Qi PY - 2009/May/28/ UR - http://arxiv.org/abs/0807.0701 ER -