<< Previous Page - Next Page >>

Section (7/21)

  1. Importance of E-Polarized Wave Scattering from from Infinitely Thin and Finitely Width Strip Systems.
  2. What will be represented in E-Polarized Wave Scattering from from Infinitely Thin and Finitely Width Strip Systems?
  3. What is Analytical Regularization?
  4. Geometry and Formulation of Problem.
  5. Dirichlet Boundary Problem and Integral Representation of Scattered Field.
  6. Sommerfeld Radiation Conditions.
  7. Fundemental Solution for Helmholtz. Equation, Third Kind of Green Formula for Free Space.
  8. Analytic Continuity of homogeneous Helmholtz Equation: Sobolev Theory.
  9. Dirichlet Boundary Problem and Integral Representation of Scattered Field.
  10. Solution of Integral Equation.
  11. Local Singular Expantion.
  12. Integral Equation Identities due to Strip System.
  13. Reduction of Integral Equation to the Numerical System.
  14. Fourier-Chebyshev Expansions of Equation Terms.
  15. Reducing Integral Equation to the Infinite Linear Algebra System.
  16. Analytical Regularization Method for Infinite Linear Algebra System.
  17. Solution of Problem in Numerically.
  18. Finding Fourier-Chebshev for Matrix.
  19. Solution of Regularized Equation System.
  20. Solution of Regularized Equation System For Multi Strips.
  21. Scattered Field for Arbitrary Point in Space.


    

.: Gebze Institute of Technology Electronics Engineering Department

Mr.Deniz ELMASLI Master's Thesis

.: E-Polarized Wave Scattering from from Infinitely Thin and Finitely Width Strip Systems

Fundemental Solution for Helmholtz Equation, Third Kind of Green Formula for Free Space

As our Strip Geometry is located in Free Space, our investigation will be in same place. And it can be also said that same investigation can be valid for closed domains.

 

Fundemental Solution for Helmholtz Equation;

Due to previously exposed diagram, we can construct Green Formula of Third Kind for free space as;

• If ?(p) scaler is fundemental solution of Helmholtz Equation which is not homogenious in single bounded space the formula below is satisfied,

• G(q,p) scaler, is function for two points (q,p) in mentioned space. G(q,p) which has the properties below is known as fundemental solution of Helmholtz equation in 2D space:

• G(q,p) has expansion as described below.

 

 

Web site contents © Copyright Deniz ELMASLI 2006, All rights reserved.
Website templates
 
   
Hosted by www.Geocities.ws

1