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The positions of the point scatterers rl's are random. We see from (3.1.5)(3.1.6) that the random positions of T/ will create a randomly fluctuating contribution from each term of 'lj;Cs)(l)(r) which has summation over I as well as integration over k p . As a function of k p , the integrand is randomly fluctuating, except when k p = kip and observation is in region 2. Thus in Monte Carlo simulation, for a single realization, the scattered waves are in all possible directions as represented by the integration over dk p . However, for the transmitted wave in region 2, there is a sharp peak in the direction of k p = kip because in that direction the phase is not fluctuating when summed over all particles Etl .

Let the random medium be extended over an area A = Lx x L y and thickness D and the single-particle position be given by the probability density function for rl in region 1 where V = AD. The averaging of (3.1.5) is performed as follows: (3.1.9)

The Silverlight communication framework also includes the HttpWebRequest and HttpWebResponse classes as part of the System.Net library. These classes provide a similar functionality to the WebClient class. In fact, the WebClient class implements the HttpWebRequest and HttpWebResponse classes behind the scenes. The WebClient class is much easier to use for simple communications. However, use the HttpWebRequest and HttpWebResponse classes if you need to send headers as part of the request or if you need more control over the Web service request.

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(3.1.10) Before averaging, rl is a deterministic variable. However, on averaging, each rl becomes a dummy variable, so that the summation becomes just a product of N. Note that this is a result of averaging while for a single realization, each rl, that is randomly generated, is distinct. The last equality in (3.1.10) is a result of using (3.1.9) and no = N/V as the number of particles per unit volume. Thus,

= (K2 -1'1y/2, K~"f = Re(Kz"f)'

h (K~) . h (K~"f) !l2 (K~, K~"f) = h (K~) . e (K~"f) 121 (K~, K~'Y) = e (K~) . h (K~"f) 122 (K~, K~"f) = e (K~) . e (K~"f)

The HttpWebRequest class provides the functionality to create Web client requests and send them to Web services. The HttpWebRequest has no constructor, so to implement an HttpWebRequest you need to create an instance using the Create() function as shown in the following code. Create() accepts the Uri object specifying the Web service to connect to as its only argument:

III (K~, K~"f)

(7.3.43) (7.3.44) (7.3.45) (7.3.46)

~ (Kiz ) = [IEih~21~ihl: EihE:eTihTi~] 2

HttpWebRequest request = (HttpWebRequest)HttpWebRequest.Create(new Uri(serviceUrl));

(7.3.51)

Note that KIz = K' sin Oi, and the angles Oi and Ooi are related by Snell's law 0i = sin- 1 (ksinO oi/,K'). In deriving (7.3.48) and (7.3.49), we have also made use of the property that K~ = Kif secO. Equations (7.3.48)-(7.3.49) are the radiative transfer equations for the field covariance matrix A(z, B, ). The boundary condition is obtained from (7.3.38)-(7.3.39) and is," for 0 :::;

You can set the method and the ContentType header of the request using the Method and ContentType properties of the HttpWebRequestObject. The default method is GET. Table 14.6 lists the properties and methods associated with the HttpWebRequest class.

0< 1r/2, 0 S:. < 21r, 11 (z = 0, 1r - 0, )

0,0,<jJ)

0,0,<jJ)]

Abort() BeginGetRequestStream() BeginGetResponse() ContentType Create() EndGetRequestStream() EndGetResponse() HaveResponse Headers Method

= 0,0,<jJ)

The steady-state behaviour of a multiconductor line at a discrete frequency is described by the equations

= 0, 0, <jJ)

(7.3.52)

Cancels an outstanding HttpWebRequest. Starts an asynchronous request to get an IO stream that can be used to write data into the request. Starts an asynchronous request to an Internet resource. String. Specifies the ContentType header of the request. Creates an instance of the HttpWebRequest class. Finalizes the request for an IO stream and returns the Stream object. Finalizes the response to the request and returns an HttpWebResponse object. Boolean. Specifies whether there is a response associated with the request.

Equations (7.3.48)-(7.3.52) can be put in the standard form using the four Stokes parameters by defining K, 3 Il(Z,O, ) = TlcosOIAl1(Z, 0,4 (7.3.53) K, 3

I2(Z, 0, 4 = TlcosOIA22(Z,O,4

K/ 3

WebHeader collection. Specifies a collection of custom headers that will be included with the request.

(7.3.54) (7.3.55) (7.3.56)

I3(Z, 0, ) = -2

IcosOIRe (A21(Z, 0, 4 )

If you set the ContentType property of the HttpWebRequest object when the method is GET, an exception is thrown.

K, 3

I 4 (z,B, ) = -2TlcosBllm(A 21(z,B, ))

I(z,B, ) =

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