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Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
Published on: January 3, 2016
Identifying the significance of nonlinear normal modes.
T L Hill1, A Cammarano2, S A Neild1
1Department of Mechanical Engineering, University of Bristol, Bristol, BS8 1TR, UK.
Proceedings. Mathematical, Physical, and Engineering Sciences
|April 18, 2017
Summary
Nonlinear normal modes (NNMs) help analyze nonlinear systems. This study identifies which NNMs are crucial for understanding forced responses, simplifying complex dynamics.
Area of Science:
- Mechanical Engineering
- Nonlinear Dynamics
- System Analysis
Background:
- Nonlinear normal modes (NNMs) are essential for analyzing nonlinear systems.
- Current NNM definitions include behaviors not seen in forced, damped systems.
- Only a subset of NNMs typically explains forced dynamics.
Purpose of the Study:
- To demonstrate the complexity of NNMs in simple nonlinear systems.
- To develop a method for identifying significant NNMs for forced responses.
- To understand the relationship between NNMs and forced dynamics.
Main Methods:
- Analytical investigation of nonlinear systems.
- Application of energy arguments to understand NNM-response relationships.
- Comparison of identified NNMs with simulated forced responses.
Main Results:
- Demonstrated complexity arising from NNMs in a simple nonlinear system.
- Developed an analytical method to identify pertinent NNMs for forced dynamics.
- Validated findings by comparing NNMs with simulated forced responses.
Conclusions:
- A method for identifying significant NNMs is necessary for practical applications.
- Understanding the relationship between NNMs and forced responses simplifies analysis.
- The study provides insight into which NNMs are relevant for forced dynamics.
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