Effects of spatial coherence on the angular distribution of radiant intensity generated by scattering on a sphere.

In the analysis of light scattering on a sphere it is implicitly assumed that the incident field is spatially fully coherent. However, under usual circumstances the field is partially coherent. We generalize the partial waves expansion method to this situation and examine the influence of the degree of coherence of the incident field on the radiant intensity of the scattered field in the far zone. We show that when the coherence length of the incident field is comparable to, or is smaller than, the radius of the sphere, the angular distribution of the radiant intensity depends strongly on the degree of coherence. The results have implications, for example, for scattering in the atmosphere and colloidal suspensions.

[1]  P. Meystre Introduction to the Theory of Coherence and Polarization of Light , 2007 .

[2]  E. Wolf Introduction to the Theory of Coherence and Polarization of Light , 2007 .

[3]  E. Wolf,et al.  Scattering of light from quasi-homogeneous sources by quasi-homogeneous media. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[4]  Jean-Jacques Greffet,et al.  Influence of spatial coherence on scattering by a particle. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  Walter T. Jr Grandy,et al.  Scattering of Waves from Large Spheres , 2000 .

[6]  E. Wolf,et al.  An energy theorem for scattering of partially coherent beams , 1998 .

[7]  C. Brouder,et al.  Mie scattering of a partially coherent beam , 1998 .

[8]  Paul Scott Carney,et al.  Statistical generalizations of the optical cross-section theorem with application to inverse scattering , 1997 .

[9]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[10]  F. Gori,et al.  A scattering experiment with partially coherent light , 1990 .

[11]  R. Wong Asymptotic approximations of integrals , 1989, Classics in applied mathematics.

[12]  T Jannson,et al.  Spatial coherence discrimination in scattering. , 1988, Optics letters.

[13]  C. Joachain,et al.  Quantum Collision Theory , 1984 .

[14]  H. V. Hulst Light Scattering by Small Particles , 1957 .

[15]  R. Gade Diffraction Effects in Semiclassical Scattering , 1995 .

[16]  G. Mie Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen , 1908 .