T-matrix approach and the angular momentum theory in light-scattering problems by ensembles of arbitrarily shaped particles

Парамонов, Л. Е.

doi:10.1364/josaa.12.002698

Cited by 9 publications

(3 citation statements)

References 13 publications

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“…with n i along ẑ. Introducing some linear combination of the T matrix and following the notation of Paramonov, 3 we arrive at the orientationally averaged scattering matrix elements at a scattering angle ͑ s , s ͒:…”

Section: Extinction Matrixmentioning

confidence: 99%

“…The T-matrix approach together with vector spherical function quantum theory has the advantage of analytical expressions for computing scattering parameters averaged over an arbitrary quadratically integrable orientation distribution function. 3 Reference 3 updates the method developed by Khlebtsov 4 and by Mishchenko and Travis 1 for randomly oriented and by Mishchenko 5 for axially oriented nonspherical particles; whereas Khlebtsov 4 analytically solved the scattering problem, Mishchenko 5 implemented a code for forward scattering only, because his major interest is in radiative transfer theory. The latter solution is better for this purpose, because it involves only averages of the T matrix.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we implement numerically the formalism that was presented in Ref. 3 for scattering cross sections and backscattering ͑and hence for radar parameters͒ of hydrometeors composed of axisymmetric particles by using an axisymmetric probability-density function as an orientation distribution about the direction of alignment. Starting from the T matrix, 2 of Mishchenko et al, 2 we implemented a procedure for analytically computing T, TT*, and TT † averaged over orientations by exploiting the symmetries of the problem.…”

Section: Introductionmentioning

confidence: 99%

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Radar and scattering parameters through falling hydrometeors with axisymmetric shapes

2001

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Falling raindrops and other hydrometeors have, in general, nonspherical shapes and mean canting angles that are due to aerodynamic and gravitational forces. We use the T matrix and the quantum theory of angular momentum to compute extinction matrices, scattering and absorption cross sections, backscattering matrices, and, from these quantities, radar parameters. A monodisperse population of rain with axially symmetric distribution over orientations where the axis of symmetry is the local direction of air flow about the raindrops is considered. Oblate spheroids with axial ratios that depend on size and appropriate series of Chebyshev polynomials were assumed for definition of the shapes of raindrops. Computations were performed at common microwave frequencies for several temperatures, incidence angles, and degrees of particle wobble about a preferred orientation. Results reveal the importance of the role of orientation distribution and particle size and the shape of radar parameters in these computations for a region of moderate-sized raindrops.

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Section: Extinction Matrixmentioning

confidence: 99%