We consider a dielectric photonic crystal made of cylindrical holes in a high index matrix. We show that a given finite size photonic crystal can mimic a homogeneous material whose permittivity and permeability are negative. We pay attention to the limitation of the homogeneous medium model and the vital role of the truncation of the crystal.

A finline-based left-handed transmission line is presented and analyzed. The transmission line is periodically loaded by single split ring resonators and thin wires in order to synthesize a negative permeability and permittivity propagation medium. The propagation properties are computed by means of full-wave frequency analysis of scattering parameters from which the band diagram is derived. A backward wave behavior is predicted and demonstrated unambiguously from ab-initio simulations. The phase front is observed to be in opposite direction with respect to the energy one for a finite five-unit cell band prototype.

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