Appears in collection : Herglotz-Nevanlinna Functions and their Applications to Dispersive Systems and Composite Materials / Fonctions de Herglotz-Nevanlinna et leurs applications aux systèmes dispersifs et aux matériaux composites

Various techniques based on Herglotz-Nevanlinna functions and optimization combined with duality have successfully been used to determine bounds for passive electromagnetic systems. Although these methods are very powerful and can be applied to large classes of problems, there are still challenges. In this presentation, we focus on the properties of Herglotz-Nevanlinna functions and optimization formulations and how they are applied to bandwidth bounds for antenna and scattering problems.