Survival probability time distribution in dielectric cavities.
Jung-Wan Ryu1, Soo-Young Lee, Chil-Min Kim
1National Creative Research Initiative Center for Controlling Optical Chaos, Pai-Chai University, Daejeon 302-735, Korea.
Summary
This study analyzes survival probability time distributions (SPTD) in dielectric cavities. SPTD behavior varies with cavity shape, showing algebraic or exponential decay influenced by factors like the Brewster angle and refractive index.
Area of Science:
- Physics
- Optics
- Cavity Quantum Electrodynamics
Background:
- Dielectric cavities are crucial for controlling light-matter interactions.
- Understanding the survival probability time distribution (SPTD) is key to analyzing particle behavior within these cavities.
Purpose of the Study:
- To investigate the SPTD in various dielectric cavity geometries.
- To determine how cavity shape and optical properties influence temporal decay patterns.
Main Methods:
- Theoretical analysis of SPTD in circular, stadium-shaped, and quadrupolar deformed dielectric cavities.
- Examination of TM and TE modes, considering phenomena like the Brewster angle.
Main Results:
- Circular cavities exhibit algebraic long-time SPTD (t^-2) with shape-dependent short-time behavior (exponential for TE due to Brewster angle).
- Stadium-shaped cavities show exponential SPTD decay, with the exponent related to the refractive index (gamma ~ n^-2).
- Quadrupolar cavities display either algebraic or exponential long-time SPTD, contingent on island location within the phase space.
Conclusions:
- Cavity geometry significantly dictates the long-term survival probability dynamics.
- The Brewster angle influences short-time SPTD in TE modes of circular cavities.
- Refractive index and phase space topology are critical parameters for SPTD in deformed cavities.
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