The Propagation Properties Of Radially Polarized Partially Coherent Beams

With exploration of the field of science and technology, laser playing anincreasing role in the field of information and communications, militaryweapons, aerospace, production and living. Because of the different characterused in different applications of laser, various new laser beams have beenintroduced. Radially polarized beams have been used in atom attractor, lasercommunication etc.. Considering the application background of radiallypolarized partially coherent beams (RPPCBs), the transmission characteristicsof the RPPCBs in turbulent atmosphere, ABCD optical system and uniaxialcrystals are studied. The main results are:Based on the extended Huygens-Fresnel integral formula in turbulentatmosphere, the propagation properties of RPPCBs propagating in turbulentatmosphere are studied. It is shown that the evolution properties of RPPCBs inturbulent atmosphere are similar to that in free space (C2n=0) in the near field,the beam spreads more rapidly because of turbulent atmosphere, and the degreeof polarization will be equal to zero in the far field and the beam waist enlargegradually.The propagation properties of RPPCBs propagating in ABCD opticalsystem are studied by using cross-spectral density matrix. With the increase inpropagation distance, we can find that the degree of polarization for RPPCBswill be equal to zero in the far field, the local minimums are equal to zero whenthe beam propagating in free space (A=1，B=z), the reason is as the distanceincreases, the degree of coherence is gradually increasing from negative topositive, while the degree of coherence will become full in the far field.Considering the beam propagating in the turbulent atmosphere and ABCDoptical system, the properties of RPPCBs propagating through ABCD opticalsystem in turbulent atmosphere are studied. We find that the evolution propertiesof RPPCBs through an optical system in turbulent atmosphere are similar toradially polarized fully coherent beam (σ=xx σ=yy inf) in the near field; and thedegree of coherence for RPPCBs propagating through an optical system inturbulent atmosphere will become fully incoherent beam in the far field. Theinfluence of atmospheric turbulence on the Stokes parameters of RPPCBs is alsoanalyzed.The transmission characteristics of RPPCBs propagating in uniaxialcrystals orthogonal to the optical axis are studied. We find that the beams will spread in different speed along x-axis or y-axis, and in the far field, the degreeof polarization will be equal to zero, and the affect ofne no on the degree ofcoherent is not obvious.