California Institute of Technology, Pasadena, California 91125, USA.
Opt Lett. 2009 Dec 15;34(24):3791-3. doi: 10.1364/OL.34.003791.
We demonstrate that any two-dimensional accelerating beam can be described in a canonical form in Fourier space. In particular, we demonstrate that there is a one-to-one correspondence between complex functions in the real line (the line spectrum) and accelerating beams. An arbitrary line spectrum can be used to generate novel accelerating beams with diverse transverse shapes. The line spectra for the special cases of the families of Airy and accelerating parabolic beams are provided.
我们证明了任何二维加速光束都可以在傅里叶空间中以规范形式描述。特别地，我们证明了实线上的复函数（线谱）与加速光束之间存在一一对应关系。任意线谱都可以用来生成具有不同横向形状的新型加速光束。提供了特殊情况下的 Airy 光束族和加速抛物光束族的线谱。
