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 socalled Blochâ€™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 (thicknessdependent) material parameters (MMP).Â Â Â Â Â 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]. Â
3. Nonlocal (wavevector 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 [46]. The problem of additional boundary conditions: does it deserve extensive studies? Where is the boundary of a spatially dispersive semiinfinite lattice? References: 1. C.R. Simovski, S.A. Tretyakov, Local constitutive parameters of metamaterials from an effectivemedium perspective, Phys. Rev. B, Vol. 75, 195111(19), 2007.
2. C.R. Simovski. Bloch material parameters of magnetodielectric metamaterials and the concept of Bloch lattices, Metamaterials, V. 1, Issue 2, pp. 6280, 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. 89105, 2007.
4. M.G. Silveirinha, Generalized LorentzLorenz 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 epsnegative 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 quasistatic approximation, Radiotechnika i Elektronika (Journal of Communication Technology and Electronics), Vol. 52, No. 9, 953971, 2007 (data of the English version) (ask the author).
