Spiral scanning: An alternative to conventional raster scanning in high-speed scanning probe microscopes

A spiral scanning method for high-speed Atomic Force Microscopy (AFM) is described in this paper. In this method, the sample is scanned in a spiral pattern instead of the conventional raster pattern. A spiral scan can be produced by applying single frequency cosine and sine signals with slowly varying amplitudes to the x axis and y axis of an AFM scanner respectively. The use of the single tone input signals allows the scanner to move at high speeds without exciting the mechanical resonance of the device and with relatively small control efforts. These scan methods can be incorporated into most modern AFMs with minimal effort since they can be implemented in software using the existing hardware. Experimental results obtained by implementing this scanning method on a commercial AFM indicate that the obtained images are of a good quality and the profile of the calibration grating is well captured up to scan frequency of 120 Hz with a scanner where the first resonance frequency is 580 Hz.

[1]  Toshio Ando,et al.  Dynamics of bacteriorhodopsin 2D crystal observed by high-speed atomic force microscopy. , 2009, Journal of structural biology.

[2]  S.O.R. Moheimani,et al.  Minimizing Scanning Errors in Piezoelectric Stack-Actuated Nanopositioning Platforms , 2009, IEEE Transactions on Nanotechnology.

[3]  Heinrich Rohrer,et al.  7 × 7 Reconstruction on Si(111) Resolved in Real Space , 1983 .

[4]  V. D. Liseikin Geometry of Curves , 2004 .

[5]  Mervyn J Miles,et al.  A mechanical microscope: High speed atomic force microscopy , 2005 .

[6]  M. J. Rost,et al.  Scanning probe microscopy at video-rate , 2008 .

[7]  W. Marsden I and J , 2012 .

[8]  S. O. Reza Moheimani,et al.  Piezoelectric Transducers for Vibration Control and Damping , 2006 .

[9]  Wenbin Wang Scanning Tunneling Microscopy , 2009 .

[10]  M. Horton,et al.  Breaking the speed limit with atomic force microscopy , 2007 .

[11]  L. Ljung,et al.  Subspace-based multivariable system identification from frequency response data , 1996, IEEE Trans. Autom. Control..

[12]  B. P. Lathi Linear systems and signals , 1992 .

[13]  S. S. Aphale,et al.  High-bandwidth control of a piezoelectric nanopositioning stage in the presence of plant uncertainties , 2008, Nanotechnology.

[14]  T. Ando,et al.  High-speed atomic force microscopy for nano-visualization of dynamic biomolecular processes , 2008 .

[15]  S. O. Reza Moheimani,et al.  High-Performance Control of Piezoelectric Tube Scanners , 2007, IEEE Transactions on Control Systems Technology.

[16]  I.A. Mahmood,et al.  Tracking Control of a Nanopositioner Using Complementary Sensors , 2009, IEEE Transactions on Nanotechnology.

[17]  Chibum Lee,et al.  Robust broadband nanopositioning: fundamental trade-offs, analysis, and design in a two-degree-of-freedom control framework , 2009, Nanotechnology.

[18]  Shao-Kang Hung,et al.  Spiral scanning method for atomic force microscopy. , 2010, Journal of nanoscience and nanotechnology.

[19]  D. Croft,et al.  Creep, hysteresis, and vibration compensation for piezoactuators: atomic force microscopy application , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[20]  Jacqueline A. Cutroni,et al.  Rigid design of fast scanning probe microscopes using finite element analysis. , 2004, Ultramicroscopy.

[21]  Gerber,et al.  Atomic Force Microscope , 2020, Definitions.

[22]  Mervyn J Miles,et al.  Ultrahigh-speed scanning near-field optical microscopy capable of over 100 frames per second , 2003 .

[23]  Frank Allgöwer,et al.  Control Strategies Towards Faster Quantitative Imaging in Atomic Force Microscopy , 2005, Eur. J. Control.

[24]  S. O. Reza Moheimani,et al.  Sensor-less Vibration Suppression and Scan Compensation for Piezoelectric Tube Nanopositioners , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[25]  J. L. Fanson,et al.  Positive position feedback control for large space structures , 1987 .

[26]  Gil U. Lee,et al.  Scanning probe microscopy. , 2010, Current opinion in chemical biology.

[27]  Wei Gao,et al.  Surface profile measurement of a sinusoidal grid using an atomic force microscope on a diamond turning machine , 2007 .

[28]  Santosh Devasia,et al.  A Survey of Control Issues in Nanopositioning , 2007, IEEE Transactions on Control Systems Technology.

[29]  B. Bhikkaji,et al.  Integral Resonant Control of a Piezoelectric Tube Actuator for Fast Nanoscale Positioning , 2008, IEEE/ASME Transactions on Mechatronics.