On some refraction billiards

Some problems with negative refraction.

Some Problems with Negative Refraction* by John Michael Williams P. O. Box 2697, Redwood City, CA 94064 [email protected] Abstract J. B. Pendry's "Negative Refraction Makes a Perfect Lens" is analyzed. It appears that several statements may be understood in terms of lens design but not in terms of fundamental behavior of light. In a recent Letter, "Negative Refraction Makes a Perfect Lens" (P...

Outer Billiards on Kites

1 Preface Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B.H. Neumann introduced outer billiards in the 1950s, and J. Moser popularized outer billiards in the 1970s as a toy model for celestial mechanics. Outer billiards is an appealing dynamical system because of its simplicity and also because of its connection to such topics as interval exchange ...

Problems on Billiards

Rigid-body motion, interacting billiards, and billiards on curved manifolds.

It is shown that the free motion of any three-dimensional rigid body colliding elastically between two parallel, at walls is equivalent to a three-dimensional billiard system. Depending upon the inertial parameters of the problem, the billiard system may possess a potential energy eld and a non-Euclidean connguration space. The corresponding curvilinear motion of the billiard ball does not nece...

on some bayesian statistical models in actuarial science with emphasis on claim count

چکیده ندارد.