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US 2006/0125681 A1Published application
Indefinite materials
AssigneeThe Regents of the University of California
InventorsDavid Smith, David Schurig
Life of this patent
Estimating the term…
Abstract
A compensating multi layer material includes two compensating layers adjacent to one another. A multi-layer embodiment of the invention produces subwavelength near-field focusing, but mitigates the thickness and loss limitations of the isotropic “perfect lens”. An antenna substrate comprises an indefinite material.
Claims36
A compensating multi-layer material comprising:
- an indefinite anisotropic first layer having material properties of ε1 and μ1, both of ε1 and μ1 being tensors, and a thickness d1;
- an indefinite anisotropic second layer adjacent to said first layer, said second layer having material properties of ε2 and μ2, both of ε2 and μ2 being tensors, and having a thickness d2;
- and,
- wherein ε1, μ1, ε2, and μ2 are simultaneously diagonalizable in a diagonalizing basis that includes a layer normal to said first and second layers, and
- ɛ
- 2
- =
- ψ
-
-
- ɛ
- 1
- μ
- 2
- =
- ψ
-
-
- μ
- 1
- where
- φ
- =
- -
- [
- d
- 1
- d
- 2
- 0
- 0
- 0
- d
- 1
- d
- 2
- 0
- 0
- 0
- d
- 2
- d
- 1
- ]
- and φ is a tensor represented in said diagonalizing basis with a third basis vector that is normal to said first and second layers.
42 more elements
A compensating multi-layer material comprising:
- an indefinite anisotropic first layer having material properties of ε1 and μ1, both of ε1 and μ1 being tensors, and a thickness d1;
- an indefinite anisotropic second layer adjacent to said first layer, said second layer having material properties of ε2 and μ2, both of ε2 and μ2 being tensors, and having a thickness d2,
- wherein the necessary tensor components for compensation satisfy:
- ɛ
- 2
- =
- ψɛ
- 1
- μ
- 2
- =
- ψμ
- 1
- where
- φ
- =
- -
- [
- ⅆ
- 1
- ⅆ
- 2
- 0
- 0
- 0
- ⅆ
- 1
- ⅆ
- 2
- 0
- 0
- 0
- ⅆ
- 2
- ⅆ
- 1
- ]
- and ψ is a tensor represented in said diagonalizing basis with a third basis vector that is normal to said first and second layers, where the necessary components are:
- εy, μx, μz for y-axis electric polarization, εx, μy, μz for x-axis electric polarization, μy, εx, εz, for y-axis magnetic polarization, and μx, εy, εz for x-axis magnetic polarization;
- and wherein the other tensor components may assume any value including values for free space.
37 more elements
An antenna substrate comprising an indefinite layer.
Dependencies are inferred from the claim text.