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Electromagnetic wave chaos in gradient refractive index optical cavities
P B Wilkinson1, T M Fromhold, R P Taylor
1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
Physical Review Letters
|June 21, 2001
Summary
Investigating electromagnetic wave chaos in optical cavities reveals that chaotic ray paths modulate the mode spectrum. This phenomenon scars electric field distributions and creates resonant peaks in transmission spectra when coupled to waveguides.
Area of Science:
- Optics and Photonics
- Wave Phenomena
- Chaos Theory
Background:
- Optical cavities are fundamental to laser and photonic device design.
- Understanding wave behavior in complex geometries is crucial for advanced optical systems.
- Gradient refractive index (GRIN) lenses offer unique light manipulation capabilities.
Purpose of the Study:
- To investigate electromagnetic wave chaos in two-dimensional optical cavities.
- To explore the influence of chaotic ray paths on cavity mode spectra and field distributions.
- To analyze the transmission spectra of coupled waveguide-cavity systems.
Main Methods:
- Utilized two-dimensional optical cavities within a cylindrical gradient refractive index lens.
- Introduced reflective surfaces and angled planar ends to induce chaotic ray paths.
- Analyzed electromagnetic mode spectra, electric field intensity distributions, and transmission spectra via coupled waveguides.
Main Results:
- Chaotic geometrical ray paths were achieved by angling the lens ends.
- Real and ghost periodic ray paths were found to modulate the electromagnetic mode spectrum.
- These paths caused "scarring" in the electric field intensity distributions.
- Coupled waveguides exhibited complex resonant peaks in their transmission spectra.
Conclusions:
- Electromagnetic wave chaos significantly impacts optical cavity properties.
- Periodic ray paths, even ghost ones, play a key role in mode spectrum modulation and field scarring.
- The study demonstrates a method for controlling and analyzing wave chaos in optical systems for potential applications in sensing and signal processing.