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

TL;DR

This paper introduces an optimization-free method for designing analog filters by spatial and temporal soft switching of dielectric constants, enabling control over frequency response without traditional optimization techniques.

Contribution

It presents a novel, optimization-free approach for inverse-scattering problems and analog filter design using spatial and temporal dielectric constant modulation.

Findings

Successfully designed desired reflection frequency responses

Derived governing equations for time-dependent media

Demonstrated temporal switching for frequency response control

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.