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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Related Experiment Video

Updated: Dec 20, 2025

Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity
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Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity

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Through-the-Wall Microwave Imaging: Forward and Inverse Scattering Modeling.

Alessandro Fedeli1, Matteo Pastorino1, Cristina Ponti2,3

  • 1Department of Electrical, Electronic, Telecommunications Engineering, and Naval Architecture, University of Genoa, 16145 Genoa, Italy.

Sensors (Basel, Switzerland)
|May 24, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces a new method for imaging dielectric targets behind walls using electromagnetic fields. The technique accurately reconstructs hidden object images by analyzing scattered waves and wall interactions.

Keywords:
buried objectselectromagnetic scatteringinverse scatteringmicrowave imagingthrough-wall radar

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Area of Science:

  • Electromagnetics
  • Inverse Scattering Theory
  • Computational Physics

Background:

  • Imaging dielectric targets behind walls presents significant challenges due to signal obstruction.
  • Accurate modeling of electromagnetic wave interactions with material interfaces is crucial for subsurface imaging.

Purpose of the Study:

  • To develop a fast and accurate analytical solver for forward scattered fields from dielectric targets behind walls.
  • To introduce a non-linear inverse scattering procedure for reconstructing images of hidden targets.

Main Methods:

  • An analytical solver is proposed to compute the forward scattered electromagnetic field, considering wall interface interactions.
  • A regularizing scheme in Lebesgue spaces is employed for the non-linear inverse scattering problem.
  • The method reconstructs images of dielectric targets concealed by a wall.

Main Results:

  • The developed analytical solver provides fast and accurate forward field computations.
  • The inversion procedure demonstrates capability in reconstructing images of hidden dielectric targets.
  • Preliminary numerical results validate the effectiveness of the proposed imaging technique.

Conclusions:

  • The proposed method offers a viable solution for imaging dielectric targets behind walls.
  • The technique advances the field of non-linear inverse scattering problems with practical applications.
  • Further numerical assessments will refine the capabilities of the developed solvers.