| Issue |
J. Eur. Opt. Soc.-Rapid Publ.
Volume 13, Number 1, 2017
|
|
|---|---|---|
| Article Number | 10 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1186/s41476-017-0038-8 | |
| Published online | 24 March 2017 | |
Research
Phase functions as solutions of integral equations
Institute of Physics, 46 Prospekt Nauki, 03680, Kiev, Ukraine
Received:
22
June
2016
Accepted:
8
March
2017
A phase function is an important characteristic of a scattering medium. A method to derive new analytic phase functions is proposed. The relation between a phase function and an angle-averaged single-scattering intensity, derived earlier [M. L. Shendeleva, J. Opt. Soc. Am. A 30, 2169 (2013)], is considered as an integral equation for a phase function. This equation is classified as an Abel integral equation of the first kind, whose solution is known. Two phase functions newly derived with this method are presented.
Key words: Radiative transfer / Phase function / Successive scattering orders / Integral equation / Abel / Single scattering / Anisotropy / Henyey-Greenstein
© The Author(s) 2017
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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