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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: Jan 16, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Published on: December 15, 2021

Ultraflat Soliton Microcombs in Driven Quadratic-Kerr Nonlinear Microresonators.

Gangzhou Wu¹, Yating Wei¹, Lingfang Li¹

¹Southeast University, School of Physics and Frontiers Science Center for Mobile Information Communication and Security, Nanjing 211189, China.

Physical Review Letters

|September 26, 2025

Summary

This summary is machine-generated.

Researchers predict ultraflat broadband soliton microcombs using a novel cavity mechanism in a quadratic-Kerr resonator. This method achieves remarkable spectral flatness for advanced applications.

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Area of Science:

Nonlinear Optics
Quantum Optics
Photonics

Background:

Soliton microcombs are crucial for various applications, but achieving ultraflat broadband spectra remains challenging.
Existing methods often require complex dispersion engineering or external modulators.

Purpose of the Study:

To predict the generation of ultraflat broadband soliton microcombs.
To explore a novel cavity mechanism for achieving unprecedented spectral flatness.
To enable octave-spanning, highly efficient, coherent combs without external modulators.

Main Methods:

Utilizing a driven quadratic-Kerr nonlinear microring resonator.
Employing phase-matched second-harmonic generation.
Leveraging opposite group-velocity dispersions (anomalous at fundamental, normal at second harmonic).

Main Results:

Demonstrated a novel cavity mechanism of symmetric dispersive wave generation.
Achieved unprecedented spectral flatness due to the unique dispersion properties.
Observed nearly vanishing comb-line power variations (∼0 dB) over a broad spectral range.
Characterized a long-rippled-wing bright soliton at the second harmonic.

Conclusions:

The proposed mechanism offers a pathway to ultraflat broadband soliton microcombs.
This approach eliminates the need for higher-order dispersion engineering and external modulators.
Enables applications in high-capacity telecommunications, precision metrology, and astrophysical spectrograph calibration.