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Forced Oscillations

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.

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Related Experiment Video

Updated: Apr 11, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Fabrication and Testing of Microfluidic Optomechanical Oscillators

Published on: May 29, 2014

Dynamic near-field optical interaction between oscillating nanomechanical structures.

Phillip Ahn¹, Xiang Chen¹, Zhen Zhang¹

¹Mechanical Engineering Department, Northwestern University, Evanston, IL 60208.

Scientific Reports

|May 28, 2015

Summary

This summary is machine-generated.

This study introduces a novel near-field optical technique for highly sensitive mechanical vibration detection in nanostructures. The method achieves a displacement sensitivity of 0.45 pm/Hz(1/2), enabling detailed imaging and dynamic analysis.

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Last Updated: Apr 11, 2026

Fabrication and Testing of Microfluidic Optomechanical Oscillators

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Published on: May 29, 2014

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Fabrication and Operation of a Nano-Optical Conveyor Belt

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Published on: August 26, 2015

Area of Science:

Nanotechnology
Optical Physics
Mechanical Engineering

Background:

Near-field optical techniques enable precise control and sensing of nanomechanical structures.
Light-matter interactions at small scales are crucial for advanced sensing applications.

Purpose of the Study:

To develop a sensitive method for detecting mechanical vibrations in nanomechanical resonators.
To leverage plasmonic nanofocusing for enhanced optical-mechanical interactions.

Main Methods:

Utilizing a plasmonic nanofocusing probe and a nanomechanical resonator as coupled oscillators.
Employing a double-frequency demodulation scheme to analyze scattered light modulation.
Achieving high spatial resolution (20 nm) for mode shape imaging.

Main Results:

Demonstrated a minimum detectable displacement sensitivity of 0.45 pm/Hz(1/2).
Successfully imaged bending vibration mode shapes of the resonator.
Recorded time-resolved ring-down vibrations up to 129 MHz.

Conclusions:

The developed near-field optical technique offers a promising approach for studying dynamic mechanical processes in individual nanostructures.
The double-frequency demodulation scheme effectively suppresses background noise for enhanced sensitivity.