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A laser cavity composed of a cylindrical mirror and a gain medium is used to generate scalar flower modes possessing orbital angular momentum. We proposed a new complex modes by using a hemi-cylindrical cavity or spatial light modulator to generate superposition of vector Laguerre-Gaussian modes and vector flower modes. The generated vector fields possessing not only orbital angular momentum but polarization properties which correspond to the specific point on a higher-order Poincaré sphere. This work paves the way to cavity laser in several applications.
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Ting-Hua Lu, Teng-De Huang, Robert R. Alfano, "High-order Poincaré sphere with flower modes possessing orbital angular momentum," Proc. SPIE 10120, Complex Light and Optical Forces XI, 101200Q (27 February 2017); https://doi.org/10.1117/12.2255807