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Related Concept Videos

Properties of DTFT I01:24

Properties of DTFT I

In signal processing, Discrete-Time Fourier Transforms (DTFTs) play a critical role in analyzing discrete-time signals in the frequency domain. Various properties of the DTFTs such as linearity, time-shifting, frequency-shifting, time reversal, conjugation, and time scaling help understand and manipulate these signals for different applications.
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Fabricating Metamaterials Using the Fiber Drawing Method
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Analytic Inverse Design of Temporal Metamaterials via Space-Time Duality.

Giuseppe Castaldi1, Marino Coppolaro1, Massimo Moccia1

  • 1University of Sannio, Fields & Waves Lab, Department of Engineering, I-82100 Benevento, Italy.

Physical Review Letters
|June 7, 2026
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Summary

We introduce a new analytic design method for temporal metamaterials, enabling precise control over wave propagation. This framework provides direct, closed-form solutions for creating functional materials with tailored spectral responses.

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Area of Science:

  • * Metamaterials Science
  • * Wave Propagation Physics
  • * Applied Electromagnetics

Background:

  • * Temporal metamaterials offer advanced wave control by modulating refractive index over time.
  • * Existing design methods for these materials lack systematic approaches.
  • * Controlling wave propagation requires precise modulation of material properties.

Purpose of the Study:

  • * To develop an analytic inverse-design framework for temporal metamaterials.
  • * To enable systematic and direct design of materials with specific wave responses.
  • * To provide closed-form solutions for refractive index modulation.

Main Methods:

  • * Utilizing space-time duality and inverse scattering theory.
  • * Prescribing desired reflection and transmission responses in rational-function form.
  • * Deriving closed-form, physically admissible refractive index modulations analytically.

Main Results:

  • * Successful synthesis of mathematical operators (derivatives, integrals) using temporal metamaterials.
  • * Creation of Chebyshev- and Butterworth-type filters with tailored spectral responses.
  • * Validation of the analytic method through finite-difference time-domain simulations.

Conclusions:

  • * Established a general, analytic route for designing functional temporal metamaterials.
  • * Demonstrated direct control over material properties for tailored wave manipulation.
  • * Opened avenues for applications in wave-based information processing and programmable filtering.