Negative-Refraction Metamaterials Using Continuous Metallic Grids Over Ground for Controlling and Guiding Electromagnetic Radiation
First Claim
1. An anisotropic hyperbolic planar metamaterial comprising:
- a first set of substantially parallel, unloaded and coplanar transmission lines, said first set being spaced with a periodicity dy;
a second set of substantially parallel, unloaded and coplanar transmission lines, said second set being spaced with a periodicity dx, farther being coplanar and substantially orthogonal with said first set of transmission lines, wherein the periodicities of said first set and second set of transmission lines being governed by the relationship;
β
x(fr)dx+β
y(fr)dy=2π
,where;
β
x and β
y are the intrinsic propagation constants of electromagnetic waves of frequency fr propagating along the first and second set of transmission lines, respectively.
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Abstract
For the cost effective implementation of negative-index refraction, an anisotropic hyperbolic planar metamaterial comprising a first set of substantially parallel, unloaded and coplanar transmission lines, said first set being spaced with a periodicity dy a second set of substantially parallel, unloaded and coplanar transmission lines, said second set being spaced with a periodicity dx, further being coplanar and substantially orthogonal with said first set of transmission lines, wherein the periodicities of said first set and second set of transmission lines being governed by the relationship βx(fr)dx+βy(fr)dy=2π, where: βx and βy are the intrinsic propagation constants of electromagnetic waves of frequency fr propagating along the first and second set of transmission lines, respectively.
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Citations
10 Claims
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1. An anisotropic hyperbolic planar metamaterial comprising:
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a first set of substantially parallel, unloaded and coplanar transmission lines, said first set being spaced with a periodicity dy; a second set of substantially parallel, unloaded and coplanar transmission lines, said second set being spaced with a periodicity dx, farther being coplanar and substantially orthogonal with said first set of transmission lines, wherein the periodicities of said first set and second set of transmission lines being governed by the relationship;
β
x(fr)dx+β
y(fr)dy=2π
,where; β
x and β
y are the intrinsic propagation constants of electromagnetic waves of frequency fr propagating along the first and second set of transmission lines, respectively.- View Dependent Claims (3, 4, 5, 6, 7, 8, 9, 10)
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2. An isotropic planar metamaterial comprising:
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a first set of substantially parallel, unloaded and coplanar transmission lines, being spaced with a periodicity d; a second set of substantially parallel, unloaded and coplanar said transmission lines, being spaced with a periodicity d, said second set of transmission lines being coplanar and substantially orthogonal with said first set of transmission lines, the periodicity of said first set and second set of transmission lines being governed by the relationships;
d=λ
−
δ and
β
=2π
/λwhere; β
is the intrinsic propagation constant of electromagnetic waves of wavelengths λ
on the transmission lines and δ
is a differential length such that 6<
k/2.
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Specification