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Whispering gallery modes inside asymmetric resonant cavities.
Yuliy Baryshnikov1, Pascal Heider, Wolfgang Parz
1Center of Mathematics Research, Bell Laboratories-Lucent Technologies, Murray Hill, New Jersey 07974, USA.
Physical Review Letters
|November 5, 2004
Summary
New asymmetric resonant cavities create a whispering gallery-like region inside the resonator, a novel finding for wave-based devices. This research showcases geometric control methods for designing advanced optical and acoustic resonators.
Area of Science:
- Acoustics and Optics
- Resonant Cavity Physics
Background:
- Traditional two-dimensional resonators with convex boundaries exhibit whispering gallery modes near the boundary.
- These modes are crucial for various wave-based applications but are limited to the perimeter.
Purpose of the Study:
- To introduce a novel class of asymmetric resonant cavities.
- To demonstrate the existence of a whispering gallery-like region located deep inside these resonators.
- To explore the application of geometric control methods in resonator design.
Main Methods:
- Development of asymmetric resonant cavity designs using geometric control.
- Numerical simulations to analyze wave propagation and mode localization.
- Experimental validation of the simulated results.
Main Results:
- Successfully designed and fabricated asymmetric resonators.
- Observed a whispering gallery-like region located internally, distinct from boundary-localized modes.
- Confirmed the findings through both numerical simulations and physical experiments.
Conclusions:
- Asymmetric resonant cavities can host internal whispering gallery-like regions.
- Geometric control offers a new pathway for engineering advanced resonator functionalities.
- The findings open possibilities for novel device applications in acoustics and optics.