O. Züger, U. Dürig
Ultramicroscopy
A first-order perturbative theory of the motion of a harmonic oscillator interacting with a weak arbitrary force field is presented, as it pertains to dynamic force microscopy. In essence the theory corresponds to a Born approximation for the scattering of standing waves trapped in a perturbed parabolic potential. In particular, it is shown that the scattering amplitudes are related to corresponding moments, involving Chebyshev polynomials and associated metrics of the conservative interaction force, and of a generalized friction coefficient accounting for irreversible interactions. Implications for dynamic force microscopy are discussed.
O. Züger, U. Dürig
Ultramicroscopy
A. Schirmeisen, G. Cross, et al.
New Journal of Physics
M.I. Lutwyche, G. Cross, et al.
ISSCC 2000
W.H. Teh, U. Dürig, et al.
Applied Physics Letters