We regard the bilayer consisting of a subwavelength layer of linear negative index material (NIM) and a Kerr-type
nonlinear layer of conventional positive index material as a combined defect for a one-dimensional photonic crystal and
investigate the effect of the thin film on the hysteretic behavior of the Goos-Hänchen shift and the incident intensity. We
find that a subwavelength layer of linear negative index material (NIM) significantly modifies the characteristic of
hysteretic behavior of lateral shift for the transmitted beam. Anomalous bistable shift occurs as the absolute value of
magnetic permeability of the NIM layer increases. We also find that the sequence of the thin film of NIM and the
nonlinear layer has a major impact on bistable shift. These results may be useful for NIMs characterization and for
designing novel photonic-crystal-based devices.