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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:24 |
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Conference: Bucharest University Faculty of Physics 2012 Meeting
Section: Solid State Physics and Materials Science
Title:
Comparative phase space analysis of metamaterials and common optical systems
Authors:
Tatiana MIHAESCU, Daniela DRAGOMAN
Affiliation:
Univ. Bucharest, Physics Dept., P.O. Box MG-11, 077125 Bucharest, Romania
E-mail
danieladragoman@yahoo.com
Keywords:
metamaterials, phase space
Abstract:
Metamaterials are recently discovered artificial materials which can, in certain conditions, be left-handed, i.e. have a negative index of refraction. Among the unusual properties of metamaterials we mention the possibility of optical cloaking and of fabricating planar superlenses that overcome the common diffraction limit.In this work we have represented in the optical phase space light propagation through several optical systems in an effort to represent intuitively the differences between common optical systems and optical systems containing metamaterials. In particular, we have analyzed light refraction in optical systems that contain lenses from common materials and planar lenses from metamaterials. The results were obtained without the geometric optics approximation. The phase space representation in optics is widely used to study light propagation in a Hamiltonian formalism. In this formalism, a bundle of independent rays from an optical light source is represented as a closed area in phase space, which has a constant magnitude under canonical transformations; this result is known as the Liouville theorem. In the phase space representation of optical beams and systems the spatial and angular characteristics of light beams are simultaneously displayed, simple matrices relating the spatial and angular characteristics at different propagation distances. The phase space representation in this work underlines in a striking manner the differences between lenses from common materials and metamaterials and is, to our knowledge, the first attempt to describe in phase space light propagation through metamaterials.
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