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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: Jul 1, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

An electrically injected solid-state surface acoustic wave phonon laser.

Alexander Wendt¹, Matthew J Storey², Michael Miller²

¹Wyant College of Optical Sciences, University of Arizona, Tucson, AZ, USA.

|January 14, 2026

Summary

This summary is machine-generated.

Researchers developed a solid-state surface acoustic wave (SAW) phonon laser on a single chip. This compact device generates coherent acoustic waves, enabling miniaturized SAW-based systems without external radiofrequency sources.

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Last Updated: Jul 1, 2026

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Area of Science:

Acoustics and Solid-State Physics
Micro- and Nano-systems Engineering
Photonics and Quantum Technologies

Background:

Surface acoustic waves (SAWs) are crucial for technologies like filters, sensors, and microfluidics.
Existing SAW generation methods face limitations in performance, frequency, and miniaturization.
There is a need for compact, efficient, and high-frequency SAW sources.

Purpose of the Study:

To present a novel, completely solid-state, single-chip surface acoustic wave (SAW) phonon laser.
To demonstrate a compact SAW device with integrated semiconductor gain for coherent oscillation.
To explore pathways for enhanced performance and miniaturization of on-chip SAW sources.

Main Methods:

Fabrication of a lithium niobate SAW resonator with an integrated, electrically injected semiconductor gain medium.
Characterization of the device's behavior below and above the lasing threshold bias.
Detailed theoretical modeling to predict performance improvements and scaling.

Main Results:

Demonstrated a self-sustained coherent oscillation of SAWs above a 36 V threshold.
Achieved continuous on-chip acoustic output power of -6.1 dBm at 1 GHz.
Observed a resolution-limited linewidth <77 Hz and low carrier phase noise.

Conclusions:

The developed SAW phonon laser represents a significant advancement in on-chip acoustic generation.
The device enables ultrahigh-frequency SAW sources and highly miniaturized SAW-based systems.
Future work can lead to mHz linewidths, high power efficiencies, and sub-550 μm² footprints at 10 GHz.