Abstract
We introduce a class of planar, stationary sources whose cross-spectral densities carry a combination of helical and Cartesian phases. The helical phase is linear, separable in polar coordinates, resulting in a vortex-like average intensity with a dark area centered on the optical axis; the Cartesian counterpart is separable in the x- and y-coordinates and is responsible for asymmetric average intensity redistribution along the x- and y-axes. While endless possibilities exist for modeling of the Cartesian phase factor, in this paper we employ a superposition of linear phases with arbitrarily assigned weighing factors. Such construction is analytically and experimentally useful in general and, in particular, as we show, for generation of asymmetric vortex lattices.
References
Jun 1, 1992·Physical Review. a·L AllenJ P Woerdman
Mar 27, 2003·Optics Letters·Emil Wolf
Jun 21, 2003·Optics Letters·Galina V BogatyryovaEmil Wolf
Jan 15, 2004·Optics Letters·Miguel A BandresSabino Chávez-Cerda
Apr 20, 2004·Physical Review Letters·D M PalaciosG A Swartzlander
Dec 11, 2007·Optics Letters·J C Gutiérrez-VegaS Chávez-Cerda
Feb 1, 2008·Physical Review Letters·G A SiviloglouD N Christodoulides
Mar 22, 2004·Optics Express·Kosta Ladavac, David Grier
Aug 8, 2009·Physical Review Letters·Eleonora NagaliEnrico Santamato
Jan 7, 2010·Optics Express·Fei WangOlga Korotkova
Apr 7, 2010·Physical Review Letters·Jack NgC T Chan
Nov 14, 2015·Optics Letters·Brijesh Kumar SinghAdy Arie
Dec 2, 2015·Optics Letters·Zhangrong MeiYonghua Mao
Mar 5, 2016·Physical Review Letters·B C HiesmayrW Löffler
Jan 5, 2017·Scientific Reports·Yahong ChenYangjian Cai
Jun 2, 2018·Optics Letters·Zhangrong Mei, Olga Korotkova
Oct 3, 2018·Optics Letters·Olga Korotkova, Xi Chen
Nov 22, 2018·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·C S D Stahl, G Gbur
Dec 15, 2018·Optics Letters·Xi Chen, Olga Korotkova
May 16, 2019·Optics Letters·Xi Chen, Olga Korotkova
Jun 6, 2019·Optics Express·Haidan MaoSergey A Ponomarenko
Oct 1, 2019·Optics Letters·Lipeng Wan, Daomu Zhao
Mar 13, 2020·Optics Letters·Zhangrong Mei, Olga Korotkova