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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:

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Characteristics of Series Resonant Circuit

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:

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Related Experiment Video

Updated: Oct 17, 2025

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Integrated Whispering-Gallery-Mode Resonator for Solid-State Coherent Quantum Photonics.

Arianne Brooks¹, Xiao-Liu Chu¹, Zhe Liu¹

¹Center for Hybrid Quantum Networks (Hy-Q), Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.

|October 12, 2021

Summary

Integrated microdisk cavities with quantum dots enable coherent photon routing. This breakthrough allows for efficient control in quantum devices by manipulating light-matter interactions at the single-photon level.

Keywords:

quantum dots quantum nanophotonics resonators

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Last Updated: Oct 17, 2025

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

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Published on: August 5, 2013

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

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Area of Science:

Quantum optics
Nanophotonics
Solid-state physics

Background:

Tailored photonics cavities are crucial for enhancing light-matter interactions.
Achieving a fully coherent quantum interface is a key goal in quantum information science.

Purpose of the Study:

To report an integrated microdisk cavity with self-assembled quantum dots for coherent photon routing.
To demonstrate control over photon routing through quantum dot-resonator detuning and excitation strength.

Main Methods:

Fabrication of an integrated microdisk cavity containing self-assembled quantum dots.
Measurement of Purcell factor and observation of coherent scattering.
Characterization of photon routing between drop and bus ports.

Main Results:

A Purcell factor of F_exp = 6.9 ± 0.9 was measured for a cavity with Q ≈ 10,000.
Clear signatures of coherent photon scattering by quantum dots were observed.
Coherent rerouting of photons between ports was demonstrated, controlled by detuning and excitation intensity.

Conclusions:

The integrated system enables coherent photon routing, essential for quantum interfaces.
Coherent scattering and single-photon nonlinearity offer pathways to enhance quantum device efficiency.
This approach has potential applications in quantum routers and Bell-state analyzers.