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

Why it is important?

Since thirty years, Modern diffraction theory suggests two main group technique's to solve problems of electromagnetic diffraction from different physical and geometrical propertied obstacles.

• “Moment Method”,
• “Finite Differents”,
• “Finite Elements”techniques.

– Second group is “ Numerical-Analytic Methods ” based on Integral Representations and Separation of Variables Technics.

• Direct methods which use “First Kind of Solution System” can create;

• Numerical instability if the structure of problem becomes complex,
• Complexity creaters High Level of Approximation errors;
• After using direct method techniques, it is reached to the solution system for First Kind. First kind of system such as; Ax=b These kinds condition number is not stable for selected cutting points and this vulnerability causes destruction for real solution (due to approximation errors)

To solve complex systems, external complex mathematical operations are needed.

• Numerical-Analytic methods use “Second Kind of Solution System” which are unbounded from these kind of weakness.

• Do not need any experimental verification ,
• Besides this if mathematically no formulation mistake has done, these techniques can be used as verification.
• Analytical after using numerical analytic techniques, it is reached to the solution system for second kind. Second kind system such as; (I+H)x=b these kinds condition number goes stable due to increasing system size.