This paper tackles the simulation of an asymmetric  TM mode absorption  in a lossy metamaterial (left-handed) slab (LHM) sandwiched between a lossy substrate and coverd by a losseless dielectric cladding. The asymmetry solutions of the eigen value equation describe lossy –guided modes with complex –valued propagation constants . The dispersion relations , normalized field and the longitudinal attenuation were numerically solved for a given set of parameters: frequency range; film’s thicknesses; and TM mode order. I found out that high order modes which are guided in thinner films are generally have more loss of power than low-order modes since the mode attenuation along z-axis increases to negative values by the mode's order increase and the film thickness decrease . Moreover,  LHM , at incident wavelength =1.9, refractive index=and at thickness ,   guides the power better than RHM or metal one. This LHM  is appropriate for solar cell applications. For arbitrary LHM, at frequency band of wavelengt(600, 700 to 1200 )nm,  the best absorption is attained at longer wavelengths and for lower order modes at wider films.
Antireflection Coating at Metamaterial Waveguide Structure by Using Superlattices (LANS)