Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Standing Waves in a Cavity

Standing Waves in a Cavity

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:

Susceptibility, Permittivity and Dielectric Constant

Susceptibility, Permittivity and Dielectric Constant

When placed in an external electric field, a dielectric material gets polarized. The charge density in the dielectric material is given by the sum of the bound and free charge densities, while the total charge density can also be written in terms of the total electric field. The bound charge density can be measured in terms of polarization, leading to the relationship between electric displacement and polarization.

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

A 2-bit chipless sensing tag based on dual mode resonators.

The Review of scientific instruments·2026

Same author

Microwave-sensor-node integrated into a short-range wireless sensor network.

Scientific reports·2023

Same author

Methodology for the determination of human respiration rate by using Doppler radar and Empirical Modal Decomposition.

Scientific reports·2022

Same author

Microstrip sensor and methodology for the determination of complex anisotropic permittivity using perturbation techniques.

Scientific reports·2022

Same author

Dielectric characterization of vegetable oils during a heating cycle.

Journal of food science and technology·2021

Same author

Dielectric properties of fresh rabbit meat in the microwave range.

Journal of food science·2021

Search research articles

Related Experiment Video

Updated: Jun 11, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Complex permittivity measurements using cavity perturbation technique with substrate integrated waveguide cavities.

Humberto Lobato-Morales¹, Alonso Corona-Chávez, D V B Murthy

¹National Institute for Astrophysics, Optics, and Electronics, Luis E. Erro No. 1, Tonanzintla, Puebla 72000, Mexico.

The Review of Scientific Instruments

|July 2, 2010

Summary

This summary is machine-generated.

This study introduces new formulas for measuring material permittivity using substrate integrated cavity resonators. The technique offers accurate dielectric property analysis with minimal deviation, enhancing material characterization.

More Related Videos

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

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

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

Published on: March 6, 2017

Related Experiment Videos

Last Updated: Jun 11, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

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

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

Published on: March 6, 2017

Area of Science:

Electromagnetics and Microwave Engineering
Materials Science and Engineering

Background:

The cavity perturbation technique is a standard method for accurately measuring the complex dielectric permittivity of materials.
Substrate integrated cavity resonators offer a planar and versatile platform for microwave measurements.

Purpose of the Study:

To develop theoretical formulas for evaluating complex permittivity using the cavity perturbation technique with substrate integrated cavity resonators.
To enable the use of various planar cavities by incorporating substrate dielectric properties into the calculations.

Main Methods:

Derivation of theoretical formulas for complex permittivity evaluation.
Implementation of substrate integrated cavity resonators.
Simulations and experimental measurements on diverse dielectric samples.

Main Results:

Validated theoretical formulas for complex permittivity measurements.
Maximum deviation in measured dielectric permittivity values below 6% compared to literature.
Analysis of substrate integrated cavity resonator sensitivity demonstrating good performance.

Conclusions:

The proposed formulas accurately determine complex dielectric permittivity using substrate integrated cavity resonators.
This method provides a flexible and accurate approach for material characterization in microwave frequencies.
The substrate integrated cavity resonator exhibits high sensitivity for material property measurements.