Meta material characterization using split ring
resonators
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Summary
This project
investigates a method of calculating the elements of the generalized
matrix representation of the macroscopic constitutive relations for a
threedimensional (3D) array of nonmagnetic inclusions with arbitrary
shape. The derivation is based on the quasistatic 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.
3D array
of inclusions
Split ring
resonator
3D array
of helices
Related Publications
 A. Ishimaru, S. W. Lee, Y.
Kuga, and V. Jandhyala, "Generalized
constitutive relations for metamaterials based on the quasistatic
Lorentz theory," IEEE Transactions on Antennas and
Propagation, vol. 51, no. 10, pp. 25502557, 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 1721, 2004.
 A. Ishimaru, S.
Jaruwatanadilok, and Y. Kuga, "Generalized
Surface Plasmon Resonance Sensor Using Metamaterials and Negative
Index Medium," URSI  APS, Monterey, CA, June 2026,
2004.
 S. W. Lee, A. Ishimaru, Y.
Kuga, and V. Jandhyala, "Combined
numerical and analytic approach for generalized models of complex
bianisotropic materials," SPIE: Remote Senging and Space
Technology, Seattle, WA, August 711, 2002.
Sponsored by NSF
