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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:

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Updated: May 6, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Optical frequency comb generation from a monolithic microresonator.

P Del'Haye¹, A Schliesser, O Arcizet

¹Max Planck Institut für Quantenoptik (MPQ), Hans-Kopfermann-Strasse 1, 85748 Garching, Germany.

|December 22, 2007

Summary

This summary is machine-generated.

Researchers developed a new method for generating optical frequency combs using microresonators and Kerr nonlinearity. This approach offers a more compact and efficient alternative to mode-locked lasers for precision measurements and advanced applications.

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Area of Science:

Photonics and Quantum Optics
Nonlinear Optics
Metrology

Background:

Optical frequency combs are crucial for high-precision frequency measurements, linking optical to radio frequencies.
Traditional methods, like mode-locked lasers, are complex and bulky.
Novel approaches are needed for miniaturized and efficient comb generation.

Purpose of the Study:

To demonstrate a new method for generating optical frequency combs using microresonators.
To achieve broadband comb generation with high mode spacing uniformity.
To explore a more compact and power-efficient comb generation technique.

Main Methods:

Utilizing the Kerr nonlinearity in a monolithic ultra-high-Q microresonator.
Interacting a continuous-wave pump laser with microresonator modes.
Employing optical-heterodyne measurements to characterize comb properties.

Main Results:

Generated an optical frequency comb with a 500-nm bandwidth around 1,550 nm.
Achieved mode spacing uniformity with a relative precision of 7.3 x 10⁻¹⁸.
Demonstrated cascaded parametric interactions overcoming passive cavity dispersion.

Conclusions:

This microresonator-based approach offers a path towards monolithic optical frequency comb generators.
The method significantly reduces size, complexity, and power consumption compared to existing technologies.
Enables operation at high repetition rates (>100 GHz) for advanced applications.