Version 1
: Received: 12 August 2022 / Approved: 15 August 2022 / Online: 15 August 2022 (11:26:56 CEST)
How to cite:
Kokhanovsky, A. The Approximate Analytical Solution for the Top-Of-Atmosphere Spectral Reflectance of Atmosphere – Underlying Snow System Over Antarctica. Preprints2022, 2022080258. https://doi.org/10.20944/preprints202208.0258.v1
Kokhanovsky, A. The Approximate Analytical Solution for the Top-Of-Atmosphere Spectral Reflectance of Atmosphere – Underlying Snow System Over Antarctica. Preprints 2022, 2022080258. https://doi.org/10.20944/preprints202208.0258.v1
Kokhanovsky, A. The Approximate Analytical Solution for the Top-Of-Atmosphere Spectral Reflectance of Atmosphere – Underlying Snow System Over Antarctica. Preprints2022, 2022080258. https://doi.org/10.20944/preprints202208.0258.v1
APA Style
Kokhanovsky, A. (2022). The Approximate Analytical Solution for the Top-Of-Atmosphere Spectral Reflectance of Atmosphere – Underlying Snow System Over Antarctica. Preprints. https://doi.org/10.20944/preprints202208.0258.v1
Chicago/Turabian Style
Kokhanovsky, A. 2022 "The Approximate Analytical Solution for the Top-Of-Atmosphere Spectral Reflectance of Atmosphere – Underlying Snow System Over Antarctica" Preprints. https://doi.org/10.20944/preprints202208.0258.v1
Abstract
The optical signals detected on multiple satellite platforms over snow surfaces are determined by the optical properties of snow surface and atmosphere. The solution of both direct and inverse problems of an atmosphere – underlying snow system requires simple relationships between top-of-atmosphere (TOA) reflectance R and microphysical/optical characteristics of both snow and atmosphere. The task of this paper is to present a simple analytical relationship between the value of R as detected on a satellite with atmosphere/snow properties. Such a relationship can be established using a numerical solution of integro - differential radiative transfer equation (RTE) (Liou, 2022). However, this path is quite complicated and time consuming. The analytical solutions of RTE are needed for the solution of various applied atmospheric and snow optics problems (Cachorro et al., 2022; Mei et al., 2020, 2022; Kokhanovsky, 2021). This is the main driver of this work. To simplify the problem under study we consider the case of Antarctica, where both snow and atmosphere are almost free of pollutants. This work is focused on the simulation of the moderate spectral resolution TOA measurements (1nm or so) and the spectral range 400-1000nm.
Keywords
radiative transfer; snow; atmosphere
Subject
Environmental and Earth Sciences, Environmental Science
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
