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Section (13/21)

  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

Reduction of Integral Equation to the Numerical System

• As it was mentioned before zeroth order Hankel function of the first kind contains logarithmic singularity. This singularity effects solutions for problems that has to be removed.

• We know that Green function for 2 dimensional space

In details how singularity is removed:

• Removing singularity:

• As it is known that J0(0) is equal to 1. So ln value will be neglected.

 

 

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