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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Transformation-based spherical cloaks designed by an implicit transformation-independent method: theory and optimization

Andrey Novitsky1, Cheng-Wei Qiu2,3,5 and Saïd Zouhdi4

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Based on the concept of the cloak generating function, we propose an implicit transformation-independent method for the required parameters of spherical cloaks without knowing the needed coordinate transformation beforehand. A non-ideal discrete model is used to calculate and optimize the total scattering cross-sections of different profiles of the generating function. A bell-shaped quadratic spherical cloak is found to be the best candidate, which is further optimized by controlling the design parameters involved. Such improved invisibility is steady even when the model is highly discretized.


PACS

41.20.Jb Electromagnetic wave propagation; radiowave propagation

02.30.Sa Functional analysis

Subjects

Mathematical physics

Accelerators, beams and electromagnetism

Dates

Issue 11 (November 2009)

Received 25 June 2009

Published 2 November 2009



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