Fig. 9

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Effect of spatial mode coupling: effective electromagnetic parameters (real and imaginary parts): permeability μeff (top), permittivity eeff (middle) and effective index neff (bottom). (a) Low mode coupling: lattice period lp = 360 μm: the minimum value of the effective refractive index is neffmin < 0.04; (b) strong mode coupling: lattice period lp = 260 μm. The shaded area denotes the bandwidth of the negative effective index: the minimum value of the effective refractive index is neffmin = −1.5. The static effective permittivity values yielded by the Maxwell–Garnett formula, eeff = 2.1 and eeff = 2.9, are in good agreement with the result of the simulation.

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