On absolutely focusing mirrors
作者： L. A. Bunimovich
DOI: 10.1007/BFB0097528
关键词: Curvature 、 Parallel beam 、 Mathematical analysis 、 Class (set theory) 、 Lyapunov exponent 、 Infinitesimal 、 Series (mathematics) 、 Constant (mathematics) 、 Beam (structure) 、 Physics
摘要: We consider focusing curves Γf (of class C∝, α≥3) such that each incoming infinitesimal beam of parallel rays focuses after hitting for the last time in series consecutive reflections from it. call absolutely focusing. prove some characteristic properties and show these remain under small C3-(C4)-perturbations if this component has constant (nonconstant) curvature. also present examples applications to classes continuous fractions.
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