We describe an apertureless scanning near-field optical microscope (SNOM) b
ased on the local second-harmonic generation enhancement resulting from an
electromagnetic interaction between a probe tip and a surface. The imaging
mechanisms of such apertureless second-harmonic SNOM are numerically studie
d. The technique allows one to achieve strongly confined sources of second-
harmonic light at the probe tip apex and/or surface area under the tip. Fir
st experimental realization of this technique has been carried out using a
silver-coated fibre tip as a probe. The experiments reveal a strong influen
ce of the tip-surface interaction as well as polarization of the excitation
light on images obtained with apertureless second-harmonic SNOM. The techn
ique can be useful for studying the localized electromagnetic excitations o
n surfaces as well as for visualization of lateral variations of linear and
nonlinear optical properties of surfaces.