Influence of grain shape on light penetration in snow
The energy budget and the photochemistry of a snowpack depend greatly on the penetration of solar radiation in snow. Below the snow surface, spectral irradiance decreases exponentially with depth with a decay constant called the asymptotic flux extinction coefficient. As with the albedo of the snowp...
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00021003 2023-05-15T13:41:02+02:00 Influence of grain shape on light penetration in snow Libois, Q. Picard, G. France, J. L. Arnaud, L. Dumont, M. Carmagnola, C. M. King, M. D. 2013-11 electronic https://doi.org/10.5194/tc-7-1803-2013 https://noa.gwlb.de/receive/cop_mods_00021003 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00020958/tc-7-1803-2013.pdf https://tc.copernicus.org/articles/7/1803/2013/tc-7-1803-2013.pdf eng eng Copernicus Publications The Cryosphere -- ˜Theœ Cryosphere -- http://www.bibliothek.uni-regensburg.de/ezeit/?2393169 -- http://www.the-cryosphere.net/ -- 1994-0424 https://doi.org/10.5194/tc-7-1803-2013 https://noa.gwlb.de/receive/cop_mods_00021003 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00020958/tc-7-1803-2013.pdf https://tc.copernicus.org/articles/7/1803/2013/tc-7-1803-2013.pdf uneingeschränkt info:eu-repo/semantics/openAccess article Verlagsveröffentlichung article Text doc-type:article 2013 ftnonlinearchiv https://doi.org/10.5194/tc-7-1803-2013 2022-02-08T22:51:51Z The energy budget and the photochemistry of a snowpack depend greatly on the penetration of solar radiation in snow. Below the snow surface, spectral irradiance decreases exponentially with depth with a decay constant called the asymptotic flux extinction coefficient. As with the albedo of the snowpack, the asymptotic flux extinction coefficient depends on snow grain shape. While representing snow by a collection of spherical particles has been successful in the numerical computation of albedo, such a description poorly explains the decrease of irradiance in snow with depth. Here we explore the limits of the spherical representation. Under the assumption of geometric optics and weak absorption by snow, the grain shape can be simply described by two parameters: the absorption enhancement parameter B and the geometric asymmetry factor gG. Theoretical calculations show that the albedo depends on the ratio B/(1-gG) and the asymptotic flux extinction coefficient depends on the product B(1-gG). To understand the influence of grain shape, the values of B and gG are calculated for a variety of simple geometric shapes using ray tracing simulations. The results show that B and (1-gG) generally covary so that the asymptotic flux extinction coefficient exhibits larger sensitivity to the grain shape than albedo. In particular it is found that spherical grains propagate light deeper than any other investigated shape. In a second step, we developed a method to estimate B from optical measurements in snow. A multi-layer, two-stream, radiative transfer model, with explicit grain shape dependence, is used to retrieve values of the B parameter of snow by comparing the model to joint measurements of reflectance and irradiance profiles. Such measurements were performed in Antarctica and in the Alps yielding estimates of B between 0.8 and 2.0. In addition, values of B were estimated from various measurements found in the literature, leading to a wider range of values (1.0–9.9) which may be partially explained by the limited accuracy of the data. This work highlights the large variety of snow microstructure and experimentally demonstrates that spherical grains, with B = 1.25, are inappropriate to model irradiance profiles in snow, an important result that should be considered in further studies dedicated to subsurface absorption of short-wave radiation and snow photochemistry. Article in Journal/Newspaper Antarc* Antarctica The Cryosphere Niedersächsisches Online-Archiv NOA The Cryosphere 7 6 1803 1818 |
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article Verlagsveröffentlichung Libois, Q. Picard, G. France, J. L. Arnaud, L. Dumont, M. Carmagnola, C. M. King, M. D. Influence of grain shape on light penetration in snow |
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article Verlagsveröffentlichung |
description |
The energy budget and the photochemistry of a snowpack depend greatly on the penetration of solar radiation in snow. Below the snow surface, spectral irradiance decreases exponentially with depth with a decay constant called the asymptotic flux extinction coefficient. As with the albedo of the snowpack, the asymptotic flux extinction coefficient depends on snow grain shape. While representing snow by a collection of spherical particles has been successful in the numerical computation of albedo, such a description poorly explains the decrease of irradiance in snow with depth. Here we explore the limits of the spherical representation. Under the assumption of geometric optics and weak absorption by snow, the grain shape can be simply described by two parameters: the absorption enhancement parameter B and the geometric asymmetry factor gG. Theoretical calculations show that the albedo depends on the ratio B/(1-gG) and the asymptotic flux extinction coefficient depends on the product B(1-gG). To understand the influence of grain shape, the values of B and gG are calculated for a variety of simple geometric shapes using ray tracing simulations. The results show that B and (1-gG) generally covary so that the asymptotic flux extinction coefficient exhibits larger sensitivity to the grain shape than albedo. In particular it is found that spherical grains propagate light deeper than any other investigated shape. In a second step, we developed a method to estimate B from optical measurements in snow. A multi-layer, two-stream, radiative transfer model, with explicit grain shape dependence, is used to retrieve values of the B parameter of snow by comparing the model to joint measurements of reflectance and irradiance profiles. Such measurements were performed in Antarctica and in the Alps yielding estimates of B between 0.8 and 2.0. In addition, values of B were estimated from various measurements found in the literature, leading to a wider range of values (1.0–9.9) which may be partially explained by the limited accuracy of the data. This work highlights the large variety of snow microstructure and experimentally demonstrates that spherical grains, with B = 1.25, are inappropriate to model irradiance profiles in snow, an important result that should be considered in further studies dedicated to subsurface absorption of short-wave radiation and snow photochemistry. |
format |
Article in Journal/Newspaper |
author |
Libois, Q. Picard, G. France, J. L. Arnaud, L. Dumont, M. Carmagnola, C. M. King, M. D. |
author_facet |
Libois, Q. Picard, G. France, J. L. Arnaud, L. Dumont, M. Carmagnola, C. M. King, M. D. |
author_sort |
Libois, Q. |
title |
Influence of grain shape on light penetration in snow |
title_short |
Influence of grain shape on light penetration in snow |
title_full |
Influence of grain shape on light penetration in snow |
title_fullStr |
Influence of grain shape on light penetration in snow |
title_full_unstemmed |
Influence of grain shape on light penetration in snow |
title_sort |
influence of grain shape on light penetration in snow |
publisher |
Copernicus Publications |
publishDate |
2013 |
url |
https://doi.org/10.5194/tc-7-1803-2013 https://noa.gwlb.de/receive/cop_mods_00021003 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00020958/tc-7-1803-2013.pdf https://tc.copernicus.org/articles/7/1803/2013/tc-7-1803-2013.pdf |
genre |
Antarc* Antarctica The Cryosphere |
genre_facet |
Antarc* Antarctica The Cryosphere |
op_relation |
The Cryosphere -- ˜Theœ Cryosphere -- http://www.bibliothek.uni-regensburg.de/ezeit/?2393169 -- http://www.the-cryosphere.net/ -- 1994-0424 https://doi.org/10.5194/tc-7-1803-2013 https://noa.gwlb.de/receive/cop_mods_00021003 https://noa.gwlb.de/servlets/MCRFileNodeServlet/cop_derivate_00020958/tc-7-1803-2013.pdf https://tc.copernicus.org/articles/7/1803/2013/tc-7-1803-2013.pdf |
op_rights |
uneingeschränkt info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/tc-7-1803-2013 |
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The Cryosphere |
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7 |
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1803 |
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1818 |
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1766144765744644096 |