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dGrid.BeginningCellEdit += new EventHandler<DataGridCellEditingCancelEventArgs>( dGrid_BeginningCellEdit);

(3.5.19)

Equations (3.5.16) and (3.5.18) are the difference forms of the radiative transfer equations, while (3.5.17) and (3.5.19) are the differential forms.

(1) The differential form of radiative transfer equations in (3.5.17) and (3.5.19) can be misleading since it suggests an equation of intensity changes at a point in space. However, as we see from previous sections, it is the wave equation which governs wave propagation in space. The result of the difference equation in (3.5.16) is obtained by assuming l D and >. < D lmfp. The conditions >. < D and l Dare necessary because in such a limit of a layer D, averaging can be taken over random particle positions and over a spatial extent of several to many wavelengths. The condition D lmfp is ne ~ded because it means that one can represent input and output relations of a thin layer D by the first- and second-order scattering solutions. Thus (3.5.17) has to be interpreted in the sense that the distance has been calibrated with the distance scale D. (2) In microwave remote sensing problems, usually A, l lmfp, so that it is possible to find a distance scale D such that >., l < D lmfp with the appropriate radiative transfer equation. However, in problems of strong localization, >. :::; [mfp, the distance scale D such that >., [ < D lmfp does not exist. (3) We are able to derive simple expressions for the phase function because of the isotropic scattering of the point particle models. In problems of complicated particle shapes and correlation of particle positions, it is generally difficult to analytically determine the phas ~ function. In Volume II, Monte Carlo methods have been employed to determine solutions

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The code in Listings 15.7 and 15.8 shows an example Silverlight application that implements a DataGrid control that displays a list of movies. The code in Listing 15.7 adds the my namespace to the UserControl and defines a DataGrid named dGrid. The code also sets the AutoGenerateColumns, RowBackground, AlternateRowBackground, GridlinesVisiblity, HeadersVisibility, Height, and Width properties of dGrid.

of Maxwell's equations. However, to use Maxwell's equations to solve a problem of layer thickness d lmfp is a computationally formidable problem. The development in this section justifies the useful alternative that has been adopted in Volume II. Divide the problem into "thin layers" of thickness D with A, l < D lmfp. Use Maxwell's equations to calculate the input and output relations of layer of thickness D problem. Then use the cascading of layers approach to find the overall solution to include the multiple scattering for the large thickness d problem. By using D such that A, l, < D lmjp, we have carried out exte...nsive Monte Carlo simulation in Volume II to calculate the extinction coefficient and the phase matrix. (4) Based on (3.5.16), we can interpret the phase function as the averaged bistatic coefficients of a thin layer.

). (K. ) = [

where [Y]EpM is the equivalent-x shunt admittance matrix. Computer derivation of the correction factors for conversion from the nominal-n to the equivalent-x model, and their incorporation into the series impedance and shunt admittance matrices, is carried out as indicated in the structure diagram of Fig. 111.1. The LR2 algorithm of Wilkinson and Reinscht is used with due regard for accurate calculations in the derivation of the eigenvalues and eigenvectors.

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<UserControl x:Class= DataGridApp.Page xmlns:my= clrnamespace:System.Windows.Controls;assembly=System.Windows.Controls.Data xmlns= http://schemas.microsoft.com/client/2007 xmlns:x= http://schemas.microsoft.com/winfx/2006/xaml Width= 400 Height= 200 > <Grid x:Name= LayoutRoot Background= White > <my:DataGrid x:Name= dGrid AutoGenerateColumns= True RowBackground= White AlternatingRowBackground= LightGray GridlinesVisibility= Horizontal HeadersVisibility= Column Height= 180 Width= 380 /> </Grid> </UserControl>

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(7.4.7)

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