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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 2 — Mar. 4, 2013

Wide-angle scannable reflector design using conformal transformation optics

Liang Liang and Sean V. Hum  »View Author Affiliations

Optics Express, Vol. 21, Issue 2, pp. 2133-2146 (2013)

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A flat reflector capable of scanning over wide angles is designed using a transformation optics approach. This reflector is derived from its virtual parabolic counterpart using a conformal coordinate transformation that determines the permittivity profile of the flat reflector. By changing the permittivity profile, the flat reflector is then capable of scanning up to 47° away from broadside while maintaining good beam characteristics across a wide frequency range. Moreover, its directivity is comparable to that of the virtual parabolic reflector, even at high scan angles. We use the Schwarz-Christoffel transformation as a versatile tool to produce perfect conformal mapping of coordinates between the virtual and flat reflectors, thereby avoiding the need to monitor the anisotropy of the material that results when employing quasi-conformal methods.

© 2013 OSA

OCIS Codes
(230.0230) Optical devices : Optical devices
(260.2110) Physical optics : Electromagnetic optics
(160.3918) Materials : Metamaterials
(260.2710) Physical optics : Inhomogeneous optical media
(220.1080) Optical design and fabrication : Active or adaptive optics

ToC Category:
Physical Optics

Original Manuscript: November 30, 2012
Revised Manuscript: January 4, 2013
Manuscript Accepted: January 5, 2013
Published: January 18, 2013

Virtual Issues
Vol. 8, Iss. 2 Virtual Journal for Biomedical Optics

Liang Liang and Sean V. Hum, "Wide-angle scannable reflector design using conformal transformation optics," Opt. Express 21, 2133-2146 (2013)

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