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Application Of The Photometric Theory Of The Radiance Field In The Problems Of Electron Scattering. L&E 27 (2) 2019

Light & Engineering 27 (2)

Volume 27
Date of publication 04/22/2019


Application Of The Photometric Theory Of The Radiance Field In The Problems Of Electron Scattering. L&E 27 (2) 2019
Articles authors:
Victor P. Afanas’ev, Vladimir P. Budak, Dmitry S. Efremenko, Pavel S. Kaplya

Viktor P. Afanas’ev, Dr. of Phys. and Math. Science, graduated from the Moscow Power Engineering Institute (MPEI) in 1970. He works as a professor at the MPEI. In addition, he is a member of three dissertation councils and an expert of the Russian Academy of Science and the Federal Agency for Scientific Organizations

Vladimir P. Budak, Professor, Doctor of Technical Sciences. In 1981, he graduated from the Moscow Power Engineering Institute (MPEI). At present, he is the Editor-in-Chief of the Svetotekhnika / Light & Engineering journals, Professor of the Subdepartment of Light and Engineering in NRU “MPEI”. Full member of the Academy of Electrotechnical Sciences of Russia

Dmitry S. Efremenko, Ph. D. He graduated from the Moscow Power Engineering institute (MPEI) in 2009. He received his Ph. D. degree from the Moscow State University in 2011 and the habilitation degree from MPEI in 2017. Since 2011 he works as a Research Scientist at the German Aerospace Centre (DLR). He is a docent at the Technical University of Munich. He has over 70 peer-reviewed publications. His scientific interests include radiate transfer, remote sensing, and machine learning

Pavel S. Kaplya, Ph.D. in Phys. And Math. Science, graduated from the Moscow Power Engineering Institute (MPEI) in 2012. He works by Yandex LLC

The physical model of the radiance field is similar in some aspects to the elementary particle transport theory under the assumptions of the classical mechanics. Disregarding the differences in the used nomenclatures, it can be shown that the transport equations for the radiance field are identical to those for the particle flux density. Since the end of the 19th century, both theories have been developing in parallel, thereby enriching each other. In other words, a breakthrough, which has been made in one theory, readily contributes to the significant progress in another one. Nowadays the accuracy achieved in the experiments with particles is close to the limit, which allows validating the relationships derived within the light scattering theory. Besides, the experiments with particles are free from uncertainties in the scattering medium, which are typical for atmospheric remote sensing applications. In this paper, a new algorithm is described, which is derived by analogies between these theories. It is applied for calculating the electron flux elastically scattered by plane-parallel layers of a solid with the strongly forward peaked phase functions. The calculations are compared against the experimental angular distributions of electrons, which are elastically reflected by the two-layer solid samples.
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