Modeling of Millimeter Wave Backscatter of Time-Varying Snowcover — Summary

The temporal variation of millimeter wave backscatter signature of snowcover is studied based on a dense medium radiative transfer (DMRT) theory and a one-dimensional mass and energy balance model of snow named SNTHERM. The multilayer DMRT scattering model of snowcover developed in this work takes into account the reflection and refraction at the snow-snow interfaces. Appropriate boundary conditions, quadrature points and weights are selected for using the discrete-ordinate eigenanalysis method to solve the multilayer DMRT equations. It shows that the inclusion of reflection and refraction at the snow-snow interfaces may affect the model prediction. Cohesive spherical particles are applied to account for the clustering feature of snow grains. To model the time-varying behavior of snowcover, SNTHERM is employed to simulate the aging process of snow. SNTHERM provides pertinent snow parameters, such as grain size, density, liquid water content, and stratification with a high resolution in time and depth. The...

[1]  Yasuo Kuga,et al.  Attenuation constant of a coherent field in a dense distribution of particles , 1982 .

[2]  Fawwaz T. Ulaby,et al.  The active and passive microwave response to snow parameters: 1. Wetness , 1980 .

[3]  Leung Tsang,et al.  Dense medium radiative transfer theory for two scattering layers with a Rayleigh distribution of particle sizes , 1993, IEEE Trans. Geosci. Remote. Sens..

[4]  Jiancheng Shi,et al.  Stereological determination of dry-snow parameters for discrete-scatterer microwave modeling , 1993, Annals of Glaciology.

[5]  Ram M. Narayanan,et al.  Millimeter-wave backscatter characteristics of multilayered snow surfaces , 1990 .

[6]  Leung Tsang,et al.  Monte Carlo Simulations of the Extinction Rate of Densely Packed Spheres with Clustered and Nonclustered Geometries , 1995 .

[7]  T. Nakajima,et al.  Effects of oceanic turbidity and index of refraction of hydrosols on the flux of solar radiation in the atmosphere-ocean system , 1977 .

[8]  Akira Ishimaru,et al.  Dense medium radiative transfer theory: comparison with experiment and application to microwave remote sensing and polarimetry , 1989 .

[9]  J. B. Mead,et al.  Polarimetric backscatter from fresh and metamorphic snowcover at millimeter wavelengths , 1996 .

[10]  H. Essen,et al.  Millimeter-wave backscatter measurements on snow-covered terrain , 1988 .

[11]  Albert Rango,et al.  Progress in Snow Hydrology Remote-Sensing Research , 1986, IEEE Transactions on Geoscience and Remote Sensing.

[12]  G. Koh Experimental study of electromagnetic wave propagation in dense random media , 1992 .

[13]  Leung Tsang,et al.  Pair distribution functions and attenuation rates for stickly particles in dense media , 1994 .

[14]  Curtis E. Woodcock,et al.  Snow ablation modeling at the stand scale in a boreal jack pine forest , 1997 .

[15]  R. Jordan,et al.  Simulation of summer snowmelt on the Greenland ice sheet using a one-dimensional model , 1995 .

[16]  S. Colbeck,et al.  Geometry of heat and mass transfer in dry snow: A review of theory and experiment , 1995 .

[17]  S. Colbeck,et al.  The layered character of snow covers , 1991 .

[18]  Jeff Dozier,et al.  Stereological characterization of dry Alpine snow for microwave remote sensing , 1989 .

[19]  J. Kong,et al.  Effective permittivity of dielectric mixtures , 1988 .

[20]  Yasuo Kuga,et al.  Millimeter‐wave radar scattering from snow: 2. Comparison of theory with experimental observations , 1991 .

[21]  V. Twersky Coherent electromagnetic waves in pair‐correlated random distributions of aligned scatterers , 1978 .

[22]  Chia-Jung Hsu Numerical Heat Transfer and Fluid Flow , 1981 .

[23]  J. B. Mead,et al.  Polarimetric observations and theory of millimeter-wave backscatter from snow cover , 1993 .

[24]  Leung Tsang,et al.  Scattering properties of dense media from Monte Carlo simulations with application to active remote sensing of snow , 1996 .

[25]  R. Jordan A One-dimensional temperature model for a snow cover : technical documentation for SNTHERM.89 , 1991 .

[26]  Ralph Shapiro Solar radiative flux calculations from standard surface meteorological observations , 1982 .

[27]  L. Tsang,et al.  Monte Carlo simulations of the extinction rate of dense media with randomly distributed dielectric spheres based on solution of Maxwell's equations. , 1992, Optics letters.

[28]  S. Idso A set of equations for full spectrum and 8- to 14-μm and 10.5- to 12.5-μm thermal radiation from cloudless skies , 1981 .

[29]  Akira Ishimaru,et al.  Radiative Wave Equations for Vector Electromagnetic Propagation in Dense Nontenuous Media , 1987 .

[30]  F. Ulaby,et al.  Dielectric properties of snow in the 3 to 37 GHz range , 1986 .

[31]  T. L. Lane,et al.  Millimeter-wave measurements and analysis of snow-covered ground , 1988 .

[32]  J. Dozier,et al.  Towards predicting temporal changes of the spectral signature of snow in visible and near-infrared wavelengths , 1993, Annals of Glaciology.

[33]  J. Dozier Recent research in snow hydrology , 1987 .

[34]  David Rind,et al.  The effect of snow cover on the climate , 1991 .