A MODEL FOR THE BIDIRECTIONAL POLARIZED REFLECTANCE OF SNOW

https://doi.org/10.1016/S0022-4073(97)00221-5Get rights and content

Abstract

A model for calculating snow bidirectional reflectance at any wavelength in the solar spectrum is presented. The method is based on the radiative transfer theory by using the adding/doubling method. The model includes polarization information which is quite new for snow and can help to interpret relevant remote-sensing data.

The snow grain shape effects on the reflectance are studied and shown to be very important in the near and middle infrared. The snow grains are assumed to be either spherical or hexagonal ice particles; the single scattering properties are computed by the Mie and the ray-tracing theories, respectively.

References (0)

Cited by (56)

  • On snowpack heating by solar radiation: A computational model

    2019, Journal of Quantitative Spectroscopy and Radiative Transfer
    Citation Excerpt :

    This possibility is used in the present paper. The computational models which can be employed in calculations of the electromagnetic radiation propagation in a snowpack can be classified into two categories, i.e., models based on radiative transfer theory (see, e.g., [48,49]) and models based on direct ray-tracing techniques [50–52]. A discussion of these approaches including the model based on two coupled volume-averaged radiative transfer equations [53–57] as applied to radiative transfer in snowpack can be found in [58].

  • Modeling polarized solar radiation from a snow surface for correction of polarization-induced error in satellite data

    2019, Journal of Quantitative Spectroscopy and Radiative Transfer
    Citation Excerpt :

    Based on limited measurements from ground and space (e.g. [34–37]), modeling studies for the reflected intensity of solar radiation from snow surfaces have been conducted [36] and applied to the retrieval of snow physical properties [38–40]. The polarization state of solar radiation reflected by snow surfaces has been characterized by only a few measurements and modeling efforts [32,41–44]. These models [42,44] are reasonably accurate for calculation of the polarization of reflected light from snow surfaces in visible channels, since light reflected by particulate snow surfaces generally has a DOP of smaller than 0.1 at these wavelengths.

  • Investigation of snow single scattering properties based on first order Legendre phase function

    2017, Optics and Lasers in Engineering
    Citation Excerpt :

    The BRDF describes a surface reflectance as a function of illumination and viewing angles apart from the wavelength. The corresponding retrieval models for single and/or multiple scattering are mostly based on ray tracing (e.g., Monte Carlo method) [3–5] or the discretisation of a standard variation of the radiative transfer equation (e.g., discrete-ordinates method, DISORT) [6–8]. Solutions to the radiative transfer in snow based on the DISORT method involve estimating a scattering phase function, which describes the angular distribution of scattered radiation from a given medium at a given wavelength [9,10].

  • The case for a modern multiwavelength, polarization-sensitive LIDAR in orbit around Mars

    2015, Journal of Quantitative Spectroscopy and Radiative Transfer
  • Characterisation of the HDRF (as a proxy for BRDF) of snow surfaces at Dome C, Antarctica, for the inter-calibration and inter-comparison of satellite optical data

    2015, Remote Sensing of Environment
    Citation Excerpt :

    Snow BRDF has been measured at several localities using different techniques (e.g. Aoki & Fukabori, 2000; Hudson, Warren, Brandt, Grenfell, & Six, 2006; Painter & Dozier, 2004; Peltoniemi et al., 2005; Warren et al., 1998). BRDF of snow was additionally determined under laboratory conditions (Dumont et al., 2010) and through modelling (e.g. Dozier et al., 1988; Leroux, Lenoble, Brogniez, Hovenier, & De Haan, 1999). Dome C, Antarctica (75°S, 123°E) was suggested as an excellent ground-calibration site for measurement of the BRDF (Six, Fily, Alvain, Henry, & Benoist, 2004) as the surface is relatively flat (Rémy et al., 1999) and spatially homogeneous, with weak surface roughness owing to wind effects (Gallet, Domine, Arnaud, Picard, & Savarino, 2011), leading to the formation of sastrugi less than 10–20 cm (Petit, Jouzel, Pourchet, & Merlivat, 1982).

View all citing articles on Scopus
View full text