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Section (4/21)

  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

Geometry and Formulation of Problem:
  

Infinitely Thin and Finitely Lengthiness Strip System satisfies;

  • Helmholtz Wave Equation ,
  • Dirichlet Boundry Condition ,
  • Sommerfeld Radiation Conditions .
  •  

    Formulation of Problem:

    Generalized Green's Second Theorem - Second Kind Green Formula

    Due to expanded formula which is written above; M and L operators can be written as;

    And by using these it can be written as;

    By substituding to the inner operators of Gauss-Ostragradski formulation;

    This formulation can be obtained known as Generalized second kind Green formula.

    According to Second Kind Green Formula for special cases of;

    It gives Helmholtz Equation of;

    And the equation corresponds to;

     

     

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