Invisibility exposed: physical bounds on passive cloaking

F Monticone, A Alu - Optica, 2016 - opg.optica.org
Invisibility cloaks have been one of the major breakthroughs in the field of metamaterials,
and several techniques are currently available to suppress the electromagnetic scattering …

Billiard dynamics: An updated survey with the emphasis on open problems

E Gutkin - Chaos: An Interdisciplinary Journal of Nonlinear …, 2012 - pubs.aip.org
This is an updated and expanded version of our earlier survey article [E. Gutkin,“Billiard
dynamics: a survey with the emphasis on open problems,” Regular Chaotic Dyn. 8, 1–13 …

[書籍][B] Geometry of the generalized geodesic flow and inverse spectral problems

VM Petkov, LN Stoyanov - 2017 - books.google.com
This book is a new edition of a title originally published in1992. No other book has been
published that treats inverse spectral and inverse scattering results by using the so called …

[書籍][B] Exterior billiards: systems with impacts outside bounded domains

A Plakhov - 2012 - books.google.com
A billiard is a dynamical system in which a point particle alternates between free motion and
specular reflections from the boundary of a domain. Exterior Billiards presents billiards in the …

[PDF][PDF] No planar billiard possesses an open set of quadrilateral trajectories

AA Glutsyuk, YG Kudryashov - J. Mod. Dyn, 2012 - dyn-sys.org
The article is devoted to a particular case of Ivrii's conjecture on periodic orbits of billiards.
The general conjecture states that the set of periodic orbits of the billiard in a domain with …

On quadrilateral orbits in complex algebraic planar billiards

A Glutsyuk - ar** sets of positive measure
L Stoyanov - Journal of Differential Equations, 2017 - Elsevier
Billiard trajectories (broken generalised geodesics) are considered in the exterior of an
obstacle K with smooth boundary on an arbitrary Riemannian manifold. We prove a …

On odd-periodic orbits in complex planar billiards

A Glutsyuk - Journal of Dynamical and Control Systems, 2014 - Springer
The famous conjecture of V. Ya. Ivrii (1978) says that in every billiard with infinitely-smooth
boundary in a Euclidean space the set of periodic orbits has measure zero. In the present …