Coherence effects in Mie scattering

Abstract

The scattering of a partially coherent beam by a deterministic, spherical scatterer is studied. In particular, the Mie scattering by a Gaussian Schell-model beam is analyzed. Expressions are derived for (a) the extinguished power, (b) the radiant intensity of the scattered field, and (c) the encircled energy in the far field. It is found that the radiant intensity and the encircled energy in the far field depend on the degree of coherence of the incident beam, whereas the extinguished power does not.

Physical optics solution for the scattering of a partially coherent wave from a circular cylinder

“…In this section, the TM z and TE z PO σ λ are the shadow and backscatter radiation approximations given by (21) and (17), respectively. The color of the trace indicates l s , i.e., = l a a a 0.2 , 0.5 , 1 s , and 10a.…”

“…The pertinent literature on this subject actually deals with the scattering from spheres [21][22][23][24]. There are only two papers known to the author that deal with partially coherent wave scattering from cylinders.…”

Generation of Vector Partially Coherent Optical Sources Using Phase-Only Spatial Light Modulators

“…The spectral densities are easy to compute using Eqs. (23) and (24), i.e., S i ðρÞ ¼ W ii ðρ; ρÞ. Since the fields are Gaussian distributed, the theoretical correlations of irradiance can be expressed in terms of Eqs.…”

“…Their widespread appeal stems from the fact that, by simply manipulating spatial coherence, the source's resulting shape and polarization can be precisely controlled. Numerous researchers have designed vector partially coherent sources for applications such as free-space and underwater optical communications [7][8][9][10][11][12][13][14][15][16], remote sensing [17,18], optical scattering [19][20][21][22][23][24][25][26][27][28][29], and particle manipulation and trapping [30][31][32][33].…”

Experimentally generating any desired partially coherent Schell-model source using phase-only control

“…For example, numerous published articles exist predicting the polarization, coherence, and beam shape of partially coherent light after propagating through free space and random media [1][2][3][4][5][6][7][8][9][10] or scattering from deterministic and random objects/media. [11][12][13][14][15][16][17][18][19][20][21] Much work has also been performed exploiting coherence to control beam shape [22][23][24][25][26][27][28][29][30] and even as an encoding scheme for holography. 31 Excellent reviews and more in-depth discussions of these topics can be found in Refs.…”