Degree Type


Date of Award


Degree Name

Master of Science


Electrical and Computer Engineering

First Advisor

Aditya Ramamoorthy


We propose a fast method to reconstruct the curve of tip-surface force v.s. distance

in Atomic Force Microscopy (AFM). A precise and fast force curve reconstruction can

help improve research in material science, biological science, chemistry, etc. Existing

techniques require multiple sinusoids at the input to introduce intermodulation terms,

i.e., exponential components at equally spaced frequencies, and the estimation is done

by balancing those terms. Instead of using intermodulation terms, our method tries to

balance time domain samples. The method is based on the assumption that a discrete

model approximates the continuous AFM model well when sampled at high frequency.

Least Squares method is used to derive a polynomial approximating the force curve.

The new method can make use of samples in the transient process and does not require

multiple sinusoids at the input. It has potential benets in taking less testing time,

getting more accuracy and acquiring force curves of several materials in one experiment.

Copyright Owner

Wenyu Wang



File Format


File Size

29 pages