Effective medium theory for two-dimensional non-magnetic metamaterial lattices 
up to quadrupole expansions

Chremmos, Ioannis; Kallos, Efthymios; Giamalaki, Melpomeni; Yannopapas, Vassilios; Paspalakis, Emmanuel

doi:10.1088/2040-8978/17/7/075102

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Effective medium theory for two-dimensional non-magnetic metamaterial lattices up to quadrupole expansions

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Chremmos, Ioannis
Sandoghdar Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Chremmos, I., Kallos, E., Giamalaki, M., Yannopapas, V., & Paspalakis, E. (2015). Effective medium theory for two-dimensional non-magnetic metamaterial lattices up to quadrupole expansions. JOURNAL OF OPTICS, 17(7): 075102. doi:10.1088/2040-8978/17/7/075102.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-002D-63AE-7

Zusammenfassung

We present a formulation for deriving effective medium properties of infinitely periodic two-dimensional metamaterial lattice structures beyond the conventional static and quasi-static limits. We utilize the multipole expansions, where the polarization currents associated with the supported Bloch modes are expressed via the electric dipole, magnetic dipole, and electric quadrupole moments per unit length. We then propose a method to calculate the Bloch modes based on the lattice geometry and individual unit element structure. The results revert to well-known formulas in the traditional quasistatic limit and are useful for the homogenization of nanorod-type metamaterials which are frequently used in optical applications.