Abstract
Inverse design procedures aim at determining optimal parameters for a given device in order to satisfy assigned specifications. In this contribution, the design of optimal EBG waveguides through inverse problems tools is addressed. In particular, an inversion tool based on the so called ‘scattering matrices’ is proposed and assessed to optimize the guiding effect for straight and bent waveguides.
Highlights
The ever-growing interest in artificial materials, including metamaterials/metasurfaces and photonic crystals, is related to their very intriguing properties and possibilities allowing very numerous and even exotic applications in all ranges of the electromagnetic spectrum including optics [1], microwaves [2] and millimeter-waves frequencies [3].In this contest, devices based on electromagnetic bandgap (EBG) structures result very attractive and are exploited for a wide class of applications, ranging from radiation [4] and propagation [5] applications, to particle accelerators [6]
As an alternative to above techniques and with the aim of overcoming relates issues, we have recently proposed, for a completely different problem concerned with antennas, a novel inverse design approach based on inverse scattering co-adjuvated by the use of the so called Scattering Matrix Method (SMM) [24]
Our procedure resembles the one in [26], wherein the multiple scattering theory (MST) is adopted. Both approaches are based on a harmonic expansion for fields and their formulation is general, so they can be formalized for different kind of inclusions; the main difference is that, opposite to the SMM, the MST exploits the T-matrix to link the scattered field to the electromagnetic properties of the scatterer
Summary
The ever-growing interest in artificial materials, including metamaterials/metasurfaces and photonic crystals, is related to their very intriguing properties and possibilities allowing very numerous and even exotic applications in all ranges of the electromagnetic spectrum including optics [1], microwaves [2] and millimeter-waves frequencies [3]. The SMM is a very accurate and fast analysis tool for structures made of multiple dielectric or metallic scatterers It allows to exploit analytical (or off-line numerical) results related to the ‘response’ of each single inclusion to have an accurate modelling of the overall device. Our procedure resembles the one in [26], wherein the multiple scattering theory (MST) is adopted Both approaches are based on a harmonic expansion for fields and their formulation is general, so they can be formalized for different kind of inclusions; the main difference is that, opposite to the SMM, the MST exploits the T-matrix to link the scattered field to the electromagnetic properties of the scatterer. For the sake of simplicity, 2-D scalar fields are considered and the time harmonic factor ejvt is assumed and dropped
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