Abstract
Based on the Stokes parameters,the complex Stokes scalar fields and the Fresnel diffraction integral method,the expressions for the composite Stokes singularities versus amplitude ratioηin two coherently and incoherently superimposed paraxial monochromatic vector optical beams were derived.The properties of composite Stokes singularities in coherently and incoherently superimposed vector optical beams with amplitude ratio propagating in free space were investigated,and the degree of polarization versus the amplitude ratio is analyzed.It is found that,during propagating in free space,the number,position and singularity index of composite Stokes singularities are affected by the amplitude ratio of two vector beams.In the coherent superposition the degree of polarization P=1.At the z=0plane,when the amplitude ratioη≠1,singularity indices of C-points,S23and S31singularities may be reversed.The creation of S23singularity with double singularity index may take place at the z0plane.In the incoherent superposition,the degree of polarization Pis less than 1and is variable withη,by varying the amplitude ratioηV-points may appear,which are unstable and split up into S23singularities and C-points with handedness reversal.With a further increase ofηS23singularities may annihilate.In addition,the sum of singularity indices of composite Stokes singularities is conserved in the process.
Published Version
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