The parabolic equation (nonlinear Schrödinger equation) that appears in problems of stationary nonlinear beam propagation (self-focusing) is reconsidered. It is shown that an additional term, which involves changes of the propagation constant along the propagation direction, should be taken into account. The physical consequences of this departure from the standard approximation, which uses the parabolic equation, are discussed. A numerical simulation showing the difference between the new approach and the standard nonlinear Schrödinger equation is given as an example.
Optics letters. 1993 Mar 15;18(6):411-3. doi: 10.1364/ol.18.000411 Q23.32025
Does the nonlinear Schrödinger equation correctly describe beam propagation?
非线性薛定谔方程能否正确描述光束的传输？ 翻译改进
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DOI: 10.1364/ol.18.000411 PMID: 19802152
摘要 Ai翻译
Keywords：beam propagation
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