We propose a simple and intuitively clear method for analysing the sec
ond-harmonic generation induced by surface states. The two-band model
is used to calculate the wave functions and Green's function so that t
he second-harmonic current density and polarization can be evaluated.
Assuming that the polarization is concentrated on the surface, we calc
ulated the reflection intensity of the second-harmonic light. We apply
our formalism to the L-gap surface states on the silver (110) surface
and obtain results that agree reasonably well with experiments.