Abstract:In the weakly guided case, the power propagation in the core and the cladding of a left-handed material fiber is obtained by solving Maxwell's equations. The wave-guide efficiency is analyzed at cutoff and far from cutoff. Far from cutoff, the wave-guide efficiency equals to 1. At cutoff, for m=0, 1, the wave-guide efficiency equals to zero; for m=2, the wave-guide efficiency approaches to infinite; for m＞2, the wave-guide efficiency is less than zero, but its absolute value is larger than 1. Those are novel characteristics of left-handed material fiber.