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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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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Published on: December 15, 2021

Kerr-Induced Noise Quenching in Pulse Pumped Microcavity Solitons.

Ziqi Wei¹, Daewon Suk², Changrui Liu¹

¹Tsinghua University, State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision Instruments, Beijing 100084, China.

Physical Review Letters

|March 1, 2026

Summary

Researchers investigated Kerr-induced phase noise quenching (KINQ) in pulse-pumped solitons. They achieved up to 20 dB phase noise suppression in silica microresonators, offering guidelines for low-noise optical signal generation.

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Area of Science:

Photonics and Optical Engineering
Nonlinear Optics
Quantum Optics

Background:

Soliton mode locking in microresonators is key for chip-scale optical and microwave signal generation.
Pulse-pumped solitons are crucial for broadband microcomb generation and soliton physics research.

Purpose of the Study:

To theoretically and experimentally investigate Kerr-induced phase noise quenching (KINQ) in pulse-pumped solitons.
To develop a model quantifying the locking bandwidth and KINQ mechanism.
To provide guidelines for achieving low-noise states in coherently pumped systems.

Main Methods:

Derivation of a theoretical model for soliton-pump locking bandwidth.
Experimental investigation using a silica microresonator.
Analysis of phase noise suppression through KINQ.

Main Results:

Quantified the locking bandwidth and revealed the KINQ mechanism.
Demonstrated up to ~20 dB phase noise suppression from the pump in experiments.
Identified optimal operating conditions near the upper boundary of the soliton existence range for lowest noise.

Conclusions:

Established a theory for solitons trapped by a nonuniform background.
Validated KINQ as an effective method for phase noise suppression.
Offered practical guidelines for generating low-noise optical signals using pulse-pumped solitons.