Modeling of Cantilever Beam under Dissipative and Nonlinear Forces with Application to Multi-Resonant Atomic Force Microscopy

S Belikov, S Magonov - IFAC-PapersOnLine, 2017 - Elsevier
Dynamic modes of an Atomic Force Microscope (AFM) can be modeled as a cantilever
beam excited near one or more resonant frequencies described by the Euler-Bernoulli PDE …

Digital q-control and automatic probe landing in amplitude modulation phase imaging afm mode

S Belikov, J Alexander, M Surtchev, S Magonov - IFAC-PapersOnLine, 2017 - Elsevier
We present a new digital design of Q-control, ie controllable change of cantilever quality
factor, targeted for digital implementation at an FPGA. The designed Q-controller changes …

Event Driven Phase-Locked Loop with Application to Atomic Force Microscopy Oscillation Non-Resonant Modes

S Belikov - IFAC-PapersOnLine, 2024 - Elsevier
Traditional PLLs are circuits synchronizing a generated periodic, usually harmonic, signal
with a reference input signal in frequency (period) and phase. They are sophisticated …

Simulation of asymptotic amplitude-phase dynamics for AFM resonant modes

S Belikov, S Magonov - 2019 American Control Conference …, 2019 - ieeexplore.ieee.org
Asymptotic AFM amplitude-phase dynamics is a powerful modeling tool for the development
of AFM control systems and applications. We explain the model and demonstrate simple …

Dynamic Probe Calibration for Quantitative Measurements with Atomic Force Microscopy

S Belikov, J Alexander… - 2018 Annual American …, 2018 - ieeexplore.ieee.org
Atomic Force Microscopy (AFM) quantitative measurements are based on optimal
instrumentation and control design, as well as diagnostics, calibration of AFM probes, and …

AFM-Based Characterization of Electrical Properties of Materials

J Alexander, S Belikov, S Magonov - Nanoscale Imaging: Methods and …, 2018 - Springer
Capabilities of atomic force microscopy (AFM) for characterization of local electrical
properties of materials are presented in this chapter. At the beginning the probe–sample …

Modelling and Parameter Estimation of Cartridge Probes for Atomic Force Microscopy

S Belikov - IFAC-PapersOnLine, 2023 - Elsevier
A critical challenge for industrial Atomic Force Microscopes (AFM) is automatic selection of
appropriate probes required for the scanning and measurement tasks (or sequences of …

Automatic probe landing in atomic force microscopy resonance modes

S Belikov, J Alexander, M Surtchev… - 2017 American …, 2017 - ieeexplore.ieee.org
Landing of the probe is one of the most critical elements of Atomic Force Microscopy (AFM).
However, it remains inadequately studied. Practical implementations of landing usually rely …

Force Curves Restoration in Atomic Force Microscopy (AFM) Resonant Modes

S Belikov - 2022 American Control Conference (ACC), 2022 - ieeexplore.ieee.org
Extraction of quantitative nanomechanical data in AFM Resonance modes, such as
Amplitude and Frequency Modulation, is a challenging task. It requires either restoration of …

Rapidly Oscillating Systems on the Plane: Weak Resonances and Asymptotic Control

S Belikov, R Belikov - IFAC-PapersOnLine, 2020 - Elsevier
Abstract Rapidly Oscillating Systems (ROS) is a class of perturbed dynamical systems with a
small parameter that contains oscillating part with the period proportional to the parameter …