  The effect of asymmetric functionally graded material on the edge resonance
and the Fano resonance in semi-infinite FGM plates are reported in this work.
The edge resonance is weakened by the material perturbation and the complete
mode conversion is illustrated with incident $S_0$ mode. The Fano resonance
occurs on the reflected $A_0$ mode as a result of interference between the
resonance and direct scattering with incident $A_0$ mode. A hybrid analytical
model based on the collocation discretization and the modal decomposition of
the elastic field is developed to analyze the scattering properties of the
semi-infinite plates. The Fano line-shape is discussed in detail. The results
show that the Fano line shape is sensitive to the volume fraction, which is
beneficial for the quantitative guided wave application.
