Cai Yangjian, Wang Zhaoying, Lin Qiang
Department of Physics, Institute of Optics, Zhejiang University, Hangzhou 310027, China.
Opt Express. 2008 Sep 15;16(19):15254-67. doi: 10.1364/oe.16.015254.
An alternative and convenient theoretical model is proposed to describe a flexible anomalous hollow beam of elliptical symmetry with an elliptical solid core, which was observed in experiment recently (Phys. Rev. Lett, 94 (2005) 134802). In this model, the electric field of anomalous hollow beam is expressed as a finite sum of elliptical Gaussian modes. Flattopped beams, dark hollow beams and Gaussian beams are special cases of our model. Analytical propagation formulae for coherent and partially coherent anomalous hollow beams passing through astigmatic ABCD optical systems are derived. Some numerical examples are calculated to show the propagation and focusing properties of coherent and partially coherent anomalous hollow beams.
