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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Transformation optical designs for wave collimators, flat lenses and right-angle bends

Focus on Cloaking and Transformation Optics

Do-Hoon Kwon1 and Douglas H Werner2

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Part of Focus on Cloaking and Transformation Optics

The transformation optics technique is applied to design three novel devices—a wave collimator, far-zone and near-zone focusing flat optical lenses and a right-angle bend for propagating beam fields. The structures presented in this paper are all two-dimensional (2D), however, the transformation optics design methodologies can be easily extended to develop 3D versions of these optical devices. The required values of the permittivity and the permeability tensors are derived for each of the three devices considered here. Furthermore, the functional performance of each device is verified using full-wave electromagnetic simulations. A wave collimator consists of a 2D rectangular cylinder where the fields (cylindrical waves) radiated by an embedded line source emerge normal to the top and bottom planar interfaces thereby producing highly directive collimated fields. Next, a far-zone focusing lens for a 2D line source is created by transforming the equi-amplitude equi-phase contour to a planar surface. It is also demonstrated that by aligning two far-zone focusing flat lenses in a back-to-back configuration, a near-zone focusing lens is obtained. Finally, a 2D square cylindrical volume is transformed into a cylinder with a fan-shaped cross section to design a right-angle bend device for propagating beam fields.


PACS

42.79.Ag Apertures, collimators

42.15.Eq Optical system design

42.79.Bh Lenses, prisms and mirrors

Subjects

Optics, quantum optics and lasers

Dates

Issue 11 (November 2008)

Received 8 June 2008

Published 27 November 2008



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