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## Herglotz functions and applications in electromagnetics

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Advances in Mathematical Methods for Electromagnetics — Recommend this title to your library

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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

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