Asymptotic Representation for the Current Density on a Strip

Asymptotic Representation for the Current Density on a Strip

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The preceding chapter showed that the solution to the problem of a strip are multiple integrals of a special type. This chapter studies the asymptotic properties of these integrals as kl → ∞ and develops approximate expressions for the current.

Chapter Contents:

  • 9.1 Lemmas on Asymptotic Series for Multiple Integrals
  • 9.2 Asymptotic Series for χn
  • 9.3 Estimates of φ q (m)(q,α), φ(kz,1), and φ̂m(kz)
  • 9.4 Asymptotic Representation for χn
  • 9.5 First-Order Approximation for the Current
  • 9.6 Nth Order Approximation for the Current
  • 9.6.1 Derivation of an Approximate Formula
  • 9.6.2 Verification of the Edge Conditions
  • 9.6.3 Estimate of the Error

Inspec keywords: integral equations; strip line resonators; approximation theory; current density

Other keywords: asymptotic representation; strip; approximate expressions; asymptotic properties; multiple integrals; current density

Subjects: Interpolation and function approximation (numerical analysis); Waveguide and microwave transmission line components; Integral equations (numerical analysis)

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