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      Closed-form Green's function representations in cylindrically stratified media for method of moments applications

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      Author
      Karan, S.
      Ertürk, V. B.
      Altintas, A.
      Date
      2009
      Source Title
      IEEE Transactions on Antennas and Propagation
      Print ISSN
      0018-926X
      Publisher
      IEEE
      Volume
      57
      Issue
      4
      Pages
      1158 - 1168
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      Closed-form Green's function (CFGF) representations for cylindrically stratified media, which can be used as the kernel of an electric field integral equation, are developed. The developed CFGF representations can safely be used in a method of moments solution procedure, as they are valid for almost all possible source and field points that lie on the same radial distance from the axis of the cylinder (such as the air-dielectric and dielectric-dielectric interfaces) including the axial line (ρ = ρ′ and φ = φ′), which has not been available before. In the course of obtaining these expressions, the conventional spectral domain Green's function representations are rewritten in a different form so that i) we can attack the axial line problem and ii) the method can handle electrically large cylinders. Available acceleration techniques that exist in the literature are implemented to perform the summation over the cylindrical eigenmodes efficiently. Lastly, the resulting expressions are transformed to the spatial domain using the discrete complex image method with the help of the generalized pencil of function method, where a modified two-level approach is used. Numerical results are presented in the form of mutual coupling between two current modes to assess the accuracy of the final spatial domain CFGF representations.
      Keywords
      Closed-form Green's functions
      Discrete complex image method (DCIM)
      Generalized pencil of function (GPOF) method
      Method of moments (MoM)
      Permalink
      http://hdl.handle.net/11693/22753
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TAP.2009.2015796
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