An investigation of the angular distribution of the degree of polarization in natural solar radiation diffusely reflected and transmitted through atmospheric layers

Rozikov, Jurabek Y. and Sobirov, Makhmud M. and Ruziboyev, Valijon U. and Kamolova, Muhabbat M. (2026) An investigation of the angular distribution of the degree of polarization in natural solar radiation diffusely reflected and transmitted through atmospheric layers. IDŐJÁRÁS / QUARTERLY JOURNAL OF THE HUNGARIAN METEOROLOGICAL SERVICE, 130 (2). pp. 151-167. ISSN 0324-6329 (print); 2677-187X (online)

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Abstract

This study investigates the angular distribution of the degree of polarization of diffusely reflected and transmitted natural solar radiation in atmospheric layers subjected to multiple Rayleigh scattering. The analysis employs the Chandrasekhar's S,T- matrix theory and the factorization method. Specific characteristics related to the numerical computation of X and Y functions using the successive approximations method are detailed. The results reveal that when the observation angle equals the illumination angle a notable feature emerges in the angular distribution of the degree of polarization of diffusely transmitted light. At this juncture, a sharp change in the degree of polarization is observed. Additionally, the study examines the dependence of the angular width of this discontinuity on the illumination angle and optical thickness.

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