Optimization-free Approach for Analog Filter Design through Spatial and Temporal Soft Switching of the Dielectric Constant

Abstract

The inverse-scattering problem of an inhomogeneous material has been of interest for many years, and was generally addressed with various optimization techniques. In this paper, we suggest an optimization-free method for solving the inverse-scattering problem of a one-dimensional inhomogeneous medium and use this to demonstrate the design of desired reflection frequency response. In addition, we derive the governing equation of an analog problem - a time-dependent homogeneous medium and use the same technique to design a temporal switching profile for the design of frequency response in k-space.

5 pages 5 figures

References in corpus (2)

• Temporal Brewster angle
• Tapered Photonic Switching

Cited by in corpus (4)

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• Electron Scattering at a Potential Temporal Step Discontinuity
• Inverse design of optical pulse shapes for time-varying photonics
• Analytic Inverse Design of Temporal Metamaterials via Space-Time Duality