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Asymptotic and Hybrid Methods in Electromagnetics

  • Asymptotic theory of diffraction
    • Introduction to the geometrical theory of diffraction
      • General overview of the theory and basic concepts
      • Fermat principle
      • Fundamentals of asymptotic expansions
      • Asymptotic solution of Maxwell’s equations in a source-free region
  • Electromagnetic creeping waves
  • Hybrid diffraction coefficients
  • Asymptotic currents
  • Hybrid methods
    • Introduction – state-of-the-art
      • A priori phase determination
      • Analytically or asymptotically derived characteristic basis functions
      • Equivalence theorem and its consequences
        • Corollary 1
        • Corollary 2
        • Other forms of the equivalence theorem
      • Application of the equivalence theorem to the hybridisation of the methods
      • Cavity in a smooth perfectly conducting surface
      • Protrusion standing out of a smooth perfectly conducting surface
      • Generalisation to coated objects
        • Cavity in a coated smooth surface
        • Protrusion standing out of a coated regular surface
      • Brief review of asymptotic solutions adapted to the development of hybrid methods
      • Numerical results 237
        • Slotted ogival cylinder
        • Rectangular cavity
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