Meta material characterization using split ring
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investigates a method of calculating the elements of the generalized
matrix representation of the macroscopic constitutive relations for a
three-dimensional (3-D) array of nonmagnetic inclusions with arbitrary
shape. The derivation is based on the quasi-static Lorentz theory and
the inclusions are represented by electric and magnetic dipole moments.
The 6 x 6 constitutive relation matrix is expressed in terms of the
interaction matrix and the polarizability matrix, which can be
numerically calculated using the sum and the difference of opposing
plane wave excitations. Numerical examples are given for split ring
resonators and a chiral medium consisting of an array of helices to
illustrate the usefulness of the formula and to verify the consistency
constraint and reciprocity relations for a bianisotropic medium.
- A. Ishimaru, S. W. Lee, Y.
Kuga, and V. Jandhyala, "Generalized
constitutive relations for metamaterials based on the quasi-static
Lorentz theory," IEEE Transactions on Antennas and
Propagation, vol. 51, no. 10, pp. 2550-2557, October 2003.
- A. Ishimaru, Y. Kuga, V.
Jandhyala, S. Jaruwatanadilok, J. R. Thomas, and S. W. Lee, "Wave
analysis, characterization, and applications of metamaterials,"
Interanational Symposium on Antennas and Propagation, Sendai,
Japan, August 17-21, 2004.
- A. Ishimaru, S.
Jaruwatanadilok, and Y. Kuga, "Generalized
Surface Plasmon Resonance Sensor Using Metamaterials and Negative
Index Medium," URSI - APS, Monterey, CA, June 20-26,
- S. W. Lee, A. Ishimaru, Y.
Kuga, and V. Jandhyala, "Combined
numerical and analytic approach for generalized models of complex
bi-anisotropic materials," SPIE: Remote Senging and Space
Technology, Seattle, WA, August 7-11, 2002.
Sponsored by NSF