A Vector Theory on Spatial Solitons in Kerr Media

• 来源期刊: 中国物理快报
• 学科: 物理学
• 年，卷（期）: 2001,（10）
• 所属期刊栏目: FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLI
• 页码范围: 1346-1349
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

A new vector theory which concerns the necessary and sufficient conditions of the self-trapping of a linearly polarized light beam in Kerr media is presented after a generalization of Fermat's principle. It is rigidly proven under these conditions that 1＋l-dimensional spatial solitons can exist in Kerr media but 2+1-dimensional solitons cannot. A new form of the general equation for 1+l-dimensional solitons in Kerr media is put forward and some of its solutions have been obtained.