The microwave emission of layer with random bottom boundary
Chang Man
Institute No. 207, Ministry of Aero-Space Industry. P.O.Box 142-207, Beijing, 100854, China
Introduction
This paper studies process of microwave emission of a homogeneous layer with smooth top plane and random bottom surface.
We use an approximation and transmission of electromagnetic wave in the layer. For the sake of electromagnetic wave in the layer. For the sake of general purpose, we are using the model to be a layer with random bottom surface of two-direbitrary. The polarization states of incident wave can be horizontal or vertical. Due to the model is a layer with rough bottom surface, so, can produce cross polarization reflective components. In this paper, we have given out some calculating results of microwave emissivity or brightness temperatures. The polarization state can be either vertical or horizontal.
The Model and Coordinate Systems
Model:
The layer body is a homogeneous medium layer.
The top surface is plane.
The bottom surface is random rough surface with normal distribution.
Zoned Format.,
Where the relative dielectric constant
e2 = 1.6
e3 = 5.0 The mean thickness of layer L O.06m. The heat source temperature to is 273°K.
The coordinate systems.
The geographic system is 0-

, the local Systems is o-

, to see Fig.1. please. Their transformation relation is
( Institute No. 207, Ministry of Aero-Space Industry, P.O. Box 142-207, Beijing, 100854, China)
The element of transformation matrix T
ij are
The renormalize coefficients
The direction of z is agree with normal direction of tangent plane of bottom surface, i.e.
The incident wave vector