  Coupling of two dielectric wires with rectangular cross-section gives rise to
bonding and anti-bonding resonances. The latter is featured by extremal
narrowing of the resonant width for variation of the aspect ratio of the
cross-section and distance between wires when the morphology of the
anti-bonding resonant mode approaches to the morphology of the Mie resonant
mode of effective circular wire with high azimuthal index. Then plane wave
resonant to this anti-bonding resonance gives rise to unprecedent enhancement
of the optical forces up to several nano Newtons per micron length of wires.
The forces oscillate with angle of incidence of plane wave but always try to
repel the wires. If the wires are fixed at the ends the optical forces result
in elastic deflection of wires of order $100 nm$ for wires's length $50\mu m$
and the light power $1.5mW/\mu m^2$.
