Interaction of an electromagnetic wave with a cone-shaped invisibility cloak and polarization rotator

A cone-shaped cloak whose cross section gradually increases along the axial direction z direction is proposed in this paper. We present full wave analysis of this cloak in response to electromagnetic waves, showing that a perfect conical cloak can support the propagation of any kind of fields. In addition, the reduced set of cloaking parameters is derived for azimuthally invariant / =0 incident fields. The advantage of this simplified cloaking structure is that all the components of material parameters are spatially invariant with relative magnitude larger than one. Hence, conical cloak with small scattering is physically realizable within a wide band of frequency for this specific type of incident fields. Finally, we apply similar transformation to achieve a polarization rotator which can arbitrarily control the polarization of the electromagnetic wave getting through. The proposed design provides a practical way to realize invisible cloak and some other electromagnetic devices, especially in the conditions that the source distribution is rotationally symmetric.

[1]  Lixin Ran,et al.  Response of a cylindrical invisibility cloak to electromagnetic waves , 2007 .

[2]  G. Uhlmann,et al.  Full-Wave Invisibility of Active Devices at All Frequencies , 2006, math/0611185.

[3]  Matti Lassas,et al.  Anisotropic conductivities that cannot be detected by EIT. , 2003, Physiological measurement.

[4]  Bae-Ian Wu,et al.  Cylindrical cloak with axial permittivity/permeability spatially invariant , 2008 .

[5]  N. Engheta,et al.  Achieving transparency with plasmonic and metamaterial coatings. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  R. Weder.  A rigorous analysis of high-order electromagnetic invisibility cloaks , 2007, 0711.0507.

[7]  David R. Smith,et al.  Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations , 2007, 0706.2452.

[8]  J. Pendry,et al.  Calculation of material properties and ray tracing in transformation media. , 2006, Optics express.

[9]  Yu Luo,et al.  Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations , 2007, 0712.2027.

[10]  U. Leonhardt,et al.  General relativity in electrical engineering , 2006, SPIE Optics + Optoelectronics.

[11]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[12]  R. Weder.  The boundary conditions for point transformed electromagnetic invisibility cloaks , 2008, 0801.3611.

[13]  Huanyang Chen,et al.  Transformation media that rotate electromagnetic fields , 2007, physics/0702050.

[14]  G. Uhlmann,et al.  Improvement of cylindrical cloaking with the SHS lining. , 2007, Optics express.

[15]  Yu Luo,et al.  DIRECTIVE EMISSION OBTAINED BY COORDINATE TRANSFORMATION , 2007, 0712.2755.

[16]  U. Chettiar,et al.  Nonmagnetic cloak with minimized scattering , 2007 .

[17]  David R. Smith,et al.  Full-wave simulations of electromagnetic cloaking structures. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  M. Idemen.  Confluent tip singularity of the electromagnetic field at the apex of a material cone , 2003 .

[19]  U. Leonhardt.  Optical Conformal Mapping , 2006, Science.

[20]  Hongsheng Chen,et al.  Electromagnetic wave interactions with a metamaterial cloak. , 2007, Physical review letters.

[21]  I. Smolyaninov,et al.  Two-dimensional metamaterial structure exhibiting reduced visibility at 500 nm. , 2008, Optics letters.

[22]  David R. Smith,et al.  Metamaterial Electromagnetic Cloak at Microwave Frequencies , 2006, Science.

[23]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[24]  Yu Luo,et al.  Cloak for multilayered and gradually changing media , 2008 .

[25]  Jiafu Wang,et al.  Material parameter equation for elliptical cylindrical cloaks , 2008 .

[26]  Electric near-field enhancement of a sharp semi-infinite conical probe: Material and cone angle dependence , 2006 .

[27]  Cone tip scattering: Endfire region , 1969 .

[28]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.