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Herglotz functions and applications in electromagnetics

Herglotz functions and applications in electromagnetics

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Herglotz functions inevitably appear in pure mathematics, mathematical physics, and engineering with a wide range of applications. In particular, they are the pertinent functions to model passive systems, and thus appear in modeling of electromagnetic phenomena in circuits, antennas, materials, and scattering. In this chapter, we review the basic theory of Herglotz functions and its applications to determine sum rules and physical bounds for passive systems.

Chapter Contents:

  • 20.1 Introduction
  • 20.2 Basics about Herglotz functions
  • 20.3 Passive systems
  • 20.4 Sum rules and physical bounds
  • 20.5 Convex optimization and physical bounds
  • 20.6 Conclusions
  • Acknowledgments
  • References

Inspec keywords: electromagnetic wave scattering

Other keywords: passive systems; electromagnetic phenomena; Herglotz functions

Subjects: Electromagnetic waves: theory; Electromagnetic wave propagation

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