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Updated: Aug 26, 2025
11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
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An overview of elastic waveguides with dynamic sub-structures.
Leonid Slepyan1, Alexander B Movchan2
1School of Mechanical Engineering, Tel Aviv University, PO Box 39040, Ramat Aviv, 69978 Tel Aviv, Israel.
Summary
This study explores mathematical models connecting Floquet theory to the dynamic response of multi-scale elastic waveguides with resonators under moving loads. It enhances understanding of wave propagation and localization in complex structures.
Area of Science:
- * Solid Mechanics
- * Wave Physics
- * Applied Mathematics
Background:
- * Dynamic response of elastic waveguides is crucial for dispersive waves and wave localization.
- * Waveguides with built-in resonators offer extended resonance regimes.
- * Moving loads on waveguides present unique challenges in dynamic analysis.
Purpose of the Study:
- * To provide an overview of mathematical formulations linking Floquet theory to waveguide dynamics.
- * To analyze the dynamic response of multi-scale waveguides with inertial sub-structures under external forces.
- * To explore wave generation and transmission in complex media.
Main Methods:
- * Application of Floquet theory for analyzing periodic systems.
- * Development of mathematical models for multi-scale waveguides.
- * Investigation of dynamic response under moving loads and external forces.
Main Results:
- * Established connections between Floquet theory and the dynamic behavior of complex waveguides.
- * Demonstrated how inertial sub-structures influence wave propagation and resonance.
- * Provided insights into wave localization phenomena in structured metamaterials.
Conclusions:
- * Floquet theory offers a powerful framework for understanding dynamic responses in multi-scale waveguides.
- * The inclusion of resonators and inertial sub-structures significantly impacts wave characteristics.
- * The findings are relevant for designing advanced materials and understanding wave phenomena.
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