| Summary: | Recently, optical coordinate transformation has garnered considerable research interest for manipulating structured light in emerging optical communication applications. Herein, we propose a circle-Cassinian optical coordinate transformation based on polarization invariance to generate an elliptical-symmetry radially polarized (ESRP) optical beam. Accordingly, we designed three isotropic phase plates for placement in the 4<i>f</i> optical system. The numerical simulations demonstrated accurate generation of the ESRP beam with specified intensity, including an overall intensity adjustment applied in the input plane. Therefore, the proposed method can aid in designing vector light fields, and the ESRP beam can be applied to optical tweezers and surface plasmonic-field generation.
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