Topics to explore, defined in May 2008 Print E-mail

1. Extraction of local material parameters (LMP), i.e. those satisfying to known physical limitations of locality (causality, passivity, absence of radiation losses in regular arrays of scatterers). Does this direction deserve development? If yes, for which known designs of MTM? Which thickness of MTM layers? Which expected frequency bounds? Advantages and disadvantages of the algorithm [1,2] that relates LMP to so-called Bloch’s material parameters (those directly extracted from R and T coefficients of the MTM slab). The problem of Drude transition layers for MTM: Does it deserve extensive studies?

2. Mesoscopic (thickness-dependent) material parameters (MMP).      
Does this direction deserve development? If yes, for which known designs of MTM? Which thickness of MTM layers? Which expected frequency bounds? Advantages and disadvantages of the MMP introduced in work [3].  

3. Non-local (wave-vector dependent) material parameters of MTM, allowing one to take into account polaritons at surfaces. Does this direction deserve development? If yes, for which known designs of MTM? Which expected frequency bounds? Advantages and disadvantages of the approach suggested in works [4-6]. The problem of additional boundary conditions: does it deserve extensive studies? Where is the boundary of a spatially dispersive semi-infinite lattice?

References:

1. C.R. Simovski, S.A. Tretyakov, Local constitutive parameters of metamaterials from an effective-medium perspective, Phys. Rev. B, Vol. 75, 195111(1-9), 2007.

2. C.R. Simovski. Bloch material parameters of magneto-dielectric metamaterials and the concept of Bloch lattices, Metamaterials, V. 1, Issue 2, pp. 62-80, 2007.

3. P. Ikonen, E. Saenz, R. Gonzalo, C. Simovski and S. Tretyakov, Mesoscopic effective material parameters for thin layers modeled as single and double grids of interacting loaded wires, Metamaterials, V. 1, Issue 2, pp. 89-105, 2007.

4. M.G. Silveirinha, Generalized Lorentz-Lorenz formulas for microstructured materials, Physical Review B 76, 245117, 2007.

5. M.G. Silveirinha, Metamaterial homogenization approach with application to the characterization of microstructured composites with negative parameters, Physical Review B 75, 115104, 2007.

6. M.G. Silveirinha, Nonlocal homogenization model for a periodic array of eps-negative rods, Physical Review E 73, 046612, 2006

7. C.R. Simovski, Application of the Fresnel formulas for reflection and transmission of electromagnetic waves beyond the quasi-static approximation, Radiotechnika i Elektronika (Journal of Communication Technology and Electronics), Vol. 52, No. 9, 953-971, 2007 (data of the English version) (ask the author).