E. G. Altmann et al 2008 EPL 84 10008 doi:10.1209/0295-5075/84/10008
Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
E. G. Altmann1,2, G. Del Magno1 and M. Hentschel1
Show affiliationsWe introduce and investigate billiard systems with an adjusted ray dynamics that accounts for modifications of the conventional reflection of rays due to universal wave effects. We show that even small modifications of the specular reflection law have dramatic consequences on the phase space of classical billiards. These include the creation of regions of non-Hamiltonian dynamics, the breakdown of symmetries, and changes in the stability and morphology of periodic orbits. Focusing on optical microcavities, we show that our adjusted dynamics provides the missing ray counterpart to previously observed wave phenomena and we describe how to observe its signatures in experiments. Our findings also apply to acoustic and ultrasound waves and are important in all situations where wavelengths are comparable to system sizes, an increasingly likely situation considering the systematic reduction of the size of electronic and photonic devices.
- PACS
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42.25.Gy Edge and boundary effects; reflection and refraction
- Subjects
- Dates
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Issue 1 (October 2008)
Received 21 May 2008, accepted for publication 25 August 2008
Published 19 September 2008
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Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
E. G. Altmann et al 2008 EPL 84 10008
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