TY - JOUR
T1 - Survival probability time distribution in dielectric cavities
AU - Ryu, Jung Wan
AU - Lee, Soo Young
AU - Kim, Chil Min
AU - Park, Young Jai
PY - 2006
Y1 - 2006
N2 - We study the survival probability time distribution (SPTD) in dielectric cavities. In a circular dielectric cavity the SPTD has an algebraic long time behavior, ∼ t-2 in both the TM and TE cases, but shows different short time behaviors due to the existence of the Brewster angle in the TE case where the short time behavior is exponential. The SPTD for a stadium-shaped cavity decays exponentially, and the exponent shows a relation of γ∼ n-2, n is the refractive index, and the proportional coefficient is obtained from a simple model of the steady probability distribution. We also discuss the SPTD for a quadrupolar deformed cavity and show that the long time behavior can be algebraic or exponential depending on the location of islands.
AB - We study the survival probability time distribution (SPTD) in dielectric cavities. In a circular dielectric cavity the SPTD has an algebraic long time behavior, ∼ t-2 in both the TM and TE cases, but shows different short time behaviors due to the existence of the Brewster angle in the TE case where the short time behavior is exponential. The SPTD for a stadium-shaped cavity decays exponentially, and the exponent shows a relation of γ∼ n-2, n is the refractive index, and the proportional coefficient is obtained from a simple model of the steady probability distribution. We also discuss the SPTD for a quadrupolar deformed cavity and show that the long time behavior can be algebraic or exponential depending on the location of islands.
UR - http://www.scopus.com/inward/record.url?scp=33644797911&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.73.036207
DO - 10.1103/PhysRevE.73.036207
M3 - Article
AN - SCOPUS:33644797911
SN - 1539-3755
VL - 73
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036207
ER -