ELECTROMAGNETIC WAVES SCATTERING BY VEGETATION in .NET

Encoding QR-Code in .NET ELECTROMAGNETIC WAVES SCATTERING BY VEGETATION
13 ELECTROMAGNETIC WAVES SCATTERING BY VEGETATION
QR Code JIS X 0510 generator on .net
generate, create qr code 2d barcode none on .net projects
f-a-/
QR barcode library for .net
Using Barcode scanner for .net framework Control to read, scan read, scan image in .net framework applications.
I~,- - - f A - - - Figure 13.6.1 Rice model configuration. Rice bunches are planted over a square area A with spacing a in the x direction and spacing b in the y direction.
Bar Code barcode library for .net
Using Barcode reader for VS .NET Control to read, scan read, scan image in VS .NET applications.
bunches inside the simulated rice field such that the total number of stems is N c x N s and N c x N s x Ne for leaves. The rice stem height may assume a Gaussian distribution with the mean height given by the ground truth. The orientation of leaves can be described by Euler angles. The rice stems and leaves may tilt from the vertical direction to the maximum tilt angle ems for stems and erne for leaves. i Consider an incident wave E , in the direction (e i , (Pi), impinging on a rice canopy of layer thickness h. As shown in Fig. 13.6.2, the first-order farfield solution of the backscattered field from a rice canopy can be expressed as the summation of four major scattering mechanisms,
Barcode implementation in .net
generate, create barcode none on .net projects
E~(f) = - [
Control qr code jis x 0510 image with c#.net
generate, create qr code none on c#.net projects
e ikr
Control denso qr bar code image for .net
use aspx.net quick response code writer todeploy qrcode in .net
+ 52 + 53 + 54
Qr Bidimensional Barcode printer in vb.net
using .net framework toinsert qr code in asp.net web,windows application
(13.6.1)
Code 128 barcode library for .net
generate, create code-128c none for .net projects
where p and q denote the polarization of the incident and scattered waves, respectively. The first term 51 describes the direct scattering from a scatterer, Fig. 13.6.2a,
PDF417 barcode library in .net
use .net framework crystal pdf-417 2d barcode generating toincoporate pdf417 2d barcode for .net
51 =
Visual .net Crystal barcode writer on .net
using barcode integrated for visual studio .net crystal control to generate, create barcode image in visual studio .net crystal applications.
t=stem
Bar Code barcode library for .net
use .net vs 2010 crystal barcode integrated toaccess bar code in .net
or leaf
Integrate code 93 full ascii on .net
using barcode integrated for visual .net control to generate, create code 9/3 image in visual .net applications.
f~p(7r -
Barcode generator in .net
using .net winforms torender barcode in asp.net web,windows application
ei , + cPi; ei , cPi)
Control qr-codes size for vb
to deploy qrcode and qr code data, size, image with vb.net barcode sdk
ei[k:(e,, ,)-k~(7f-e,,7f+ ,)].r~
UPC Code barcode library with .net c#
use asp.net web crystal universal product code version a encoder tobuild upc barcodes in c#
(13.6.2)
Receive uss code 39 with excel spreadsheets
use excel spreadsheets barcode 3 of 9 printing tointegrate code 39 extended for excel spreadsheets
where t denotes the scatterer type: stem or leaf, and Nt = N c x N s for stems and Nt = N c x N s x N e for leaves. fJp is the scattering amplitude matrix element for an incident wave with polarization p and a scattered wave with polarization q. Ii is the incident wave propagation vector and I; is for the scattered field. = xX;+YY]-ZZ] is the location of the rice canopy element j of type t. The second term 52 describes the single scattering from a scatterer
European Article Number 13 encoder with .net
generate, create gtin - 13 none with .net projects
6.1 Model Description
Control upc-a supplement 2 size on visual basic
to get upc symbol and upc code data, size, image with visual basic.net barcode sdk
- - - -
Visual Studio .NET bar code printer for visual basic
using barcode development for visual .net control to generate, create barcode image in visual .net applications.
---.::l~~~=I1"",,,,-
Embed pdf417 in .net
generate, create pdf 417 none for .net projects
z = -h
Figure 13.6.2 Four major backscattering mechanisms in a rice canopy: (a) direct scattering from the scatterer; (b) single scattering from the scatter followed by reflection off the ground surface; (c) ground surface reflection followed by single scattering from the scatterer; (d) reflection by ground surface followed by single scattering from the scatterer and further reflection off the ground surface.
followed by a reflection off the ground surface, Fig. 13.6.2b,
52 = '" '" R q(().) .ft ((). "'" ~ ~ ~ qp l'"
t=stem or leaf
+ If'l' (). A. ..
~,lf'~
A..) ei[k~(e,, ,)-k: (),;JrHi)] r;
(1363) . .
j==1
The third term 53 is the reverse of the second scattering mechanism, Fig. 13.6.2c,
53 = ' " ' " ft (rr-() l' rr+A. rr-e l' If'l P (e ) ei[k~(Jr-(),, ,)-k:(Jr-(),;JrH,)] r; A. )R l ~ ~ qp If'l'
t=stem or leaf
j==1
(13.6.4) where Rp(e i ) and Rq(e i ) in (13.6.3) and (13.6.4) are the Fresnel reflection coefficients of the p and q-polarizations, respectively. The fourth terrIl 54 describes a reflection by the ground surface followed by the backscattering from the scatterer and further reflection off the ground surface, Fig. 13.6.2d,
t=stem or leaf
(13.6.5)
13 ELECTROMAGNETIC WAVES SCATTERING BY VEGETATION
To calculate the scattering amplitude matrix elements of rice plants, the infinite cylinder approximation can be applied for rice stems, and the infinite disk approximation can be employed for rice leaves. These two analytical approximations have been described in details in 1, Section 6 of Volume 1. The effects of attenuation on the coherent wave is taken into account by using Foldy's approximation. The extinction matrix is obtained by averaging the forward scattering amplitude matrix over rice canopy scattering components. The rice plants are then assumed to be excited by this coherent wave. The two characteristic waves propagate along the direction (8, cP) inside the canopy with the propagation constants