Orbital angular moment of a partially coherent beam propagating through an astigmatic ABCD optical system with loss or gain.

We derive the general expression for the orbital angular momentum (OAM) flux of an astigmatic partially coherent beam carrying twist phase [i.e., twisted anisotropic Gaussian-Schell model (TAGSM) beam] propagating through an astigmatic ABCD optical system with loss or gain. The evolution properties of the OAM flux of a TAGSM beam in a Gaussian cavity or propagating through a cylindrical thin lens are illustrated numerically with the help of the derived formula. It is found that we can modulate the OAM of a partially coherent beam by varying the parameters of the cavity or the orientation angle of the cylindrical thin lens, which will be useful in some applications, such as free-space optical communications and particle trapping.

[1]  Olga Korotkova,et al.  Radiation force of scalar and electromagnetic twisted Gaussian Schell-model beams. , 2009, Optics express.

[2]  Yangjian Cai,et al.  Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams in dispersive and absorbing media. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  Mukunda,et al.  Anisotropic Gaussian Schell-model beams: Passage through optical systems and associated invariants. , 1985, Physical review. A, General physics.

[4]  R. Simon,et al.  Twisted Gaussian Schell-model beams , 1993 .

[5]  Yangjian Cai,et al.  Fractional Fourier transform for partially coherent Gaussian-Schell model beams. , 2002, Optics letters.

[6]  Yangjian Cai,et al.  Second-harmonic generation by an astigmatic partially coherent beam. , 2007, Optics express.

[7]  O. Korotkova,et al.  Evolution of the degree of polarization of an electromagnetic Gaussian Schell-model beam in a Gaussian cavity. , 2008, Optics letters.

[8]  Yangjian Cai,et al.  Effect of spatial coherence on determining the topological charge of a vortex beam , 2012 .

[9]  Yangjian Cai,et al.  Tensor ABCD law for partially coherent twisted anisotropic Gaussian-Schell model beams. , 2002, Optics letters.

[10]  Qiwen Zhan,et al.  Propagation of vector vortex beams through a turbulent atmosphere. , 2009, Optics express.

[11]  Olga Korotkova,et al.  Beyond the classical Rayleigh limit with twisted light. , 2012, Optics letters.

[12]  Yangjian Cai,et al.  Twist phase-induced reduction in scintillation of a partially coherent beam in turbulent atmosphere. , 2012, Optics letters.

[13]  Claudio Palma,et al.  Coherence growth of laser radiation in Gaussian cavities , 1996 .

[14]  Dario Ambrosini,et al.  Twisted Gaussian Schell-model Beams: A Superposition Model , 1994 .

[15]  Yangjian Cai,et al.  Experimental observation of fractional Fourier transform for a partially coherent optical beam with Gaussian statistics. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[16]  Yangjian Cai,et al.  Experimental generation of a partially coherent Laguerre–Gaussian beam , 2012 .

[17]  A. Willner,et al.  Terabit free-space data transmission employing orbital angular momentum multiplexing , 2012, Nature Photonics.

[18]  T. Visser,et al.  Coherence vortices in partially coherent beams , 2003 .

[19]  R. Simon,et al.  Twist phase in Gaussian-beam optics , 1998 .

[20]  Yangjian Cai,et al.  Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere , 2006 .

[21]  Fei Wang,et al.  Experimental demonstration of vortex phase-induced reduction in scintillation of a partially coherent beam. , 2013, Optics letters.

[22]  Miles J. Padgett,et al.  IV The Orbital Angular Momentum of Light , 1999 .

[23]  Yangjian Cai,et al.  Second-order statistics of a twisted gaussian Schell-model beam in turbulent atmosphere. , 2010, Optics express.

[24]  Kishan Dholakia,et al.  Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions. , 2012, Optics letters.

[25]  D. Grier.  A revolution in optical manipulation , 2003, Nature.

[26]  Baida Lü,et al.  Propagation of Gaussian Schell-model vortex beams through atmospheric turbulence and evolution of coherent vortices , 2009 .

[28]  Li-Xiang Hu,et al.  Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams through an apertured astigmatic optical system. , 2006, Optics letters.

[29]  J. Movilla,et al.  Orbital angular momentum of partially coherent beams. , 2001, Optics letters.

[30]  G. Cincotti,et al.  Spectral changes in Gaussian-cavity lasers , 1998 .

[31]  A. Friberg,et al.  Interpretation and experimental demonstration of twisted Gaussian Schell-model beams , 1994 .

[32]  W Sibbett,et al.  Controlled Rotation of Optically Trapped Microscopic Particles , 2001, Science.

[33]  Yangjian Cai,et al.  Experimental study of the focusing properties of a Gaussian Schell-model vortex beam. , 2011, Optics letters.

[34]  R. P. Singh,et al.  Experimental generation of ring-shaped beams with random sources. , 2013, Optics letters.

[35]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.