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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: Aug 5, 2025

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

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Published on: August 5, 2013

A Liquid Mirror Resonator.

Elad Haber¹, Mark Douvidzon², Shai Maayani³

¹Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 3200003, Israel.

|March 29, 2023

Summary

This summary is machine-generated.

Researchers demonstrated a novel Fabry-Perot resonator using liquid-gas interface total internal reflection. This optocapillary device enables optical study of capillary waves and thermal fluctuations, advancing surface science research.

Keywords:

capillary waves cavity optocapillaries surface science thermal capillary waves

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Area of Science:

Physics
Surface Science
Optics

Background:

Fabry-Perot resonators are crucial optical devices.
Studying capillary waves and thermal fluctuations at liquid surfaces is challenging.
Total internal reflection (TIR) offers a unique optical interface.

Purpose of the Study:

To experimentally demonstrate a hybrid optocapillary Fabry-Perot resonator.
To investigate the interaction between optical and capillary waves at a liquid-gas interface.
To enable optical interrogation of surface phenomena.

Main Methods:

Utilizing total internal reflection at an oil-air interface to form a Fabry-Perot resonator.
Characterizing optical modes (transverse and longitudinal) and their spectral separation.
Measuring liquid Brownian fluctuations and capillary oscillations using laser wavelength adjustment.

Main Results:

Demonstrated a hybrid resonator with optical and capillary wave interaction.
Achieved an optical finesse (Fo) of 60 and optical quality factor (Qo) of 20 million.
Observed distinct capillary oscillation frequencies in the underdamped regime and their absence in the overdamped regime.

Conclusions:

The optocapillary resonator successfully enables optical examination of thermal fluctuations and capillary waves.
This technology opens new avenues for fundamental studies and applications in surface science.
It may allow direct imaging of thermal capillary oscillations, surpassing current limitations.