Inverse problem of scanning force microscope force measurements

Journal of Applied Physics

Volumn 94, Issue 5, 2003, Pages 3563-3572

  Todd, Brian A ^a   Eppell, Steven J ^a  

^a Case Western Reserve University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ERROR ANALYSIS; INVERSE PROBLEMS; MODAL ANALYSIS; NATURAL FREQUENCIES; SCANNING;

SCANNING FORCE MICROSCOPES (SFM);

CANTILEVER BEAMS;

EID: 0141633693     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1592871     Document Type: Article

References (23)

1. G. Binnig, C. F. Quate, and C. Gerber, Phys. Rev. Lett. 56, 930 (1986).
2. B. Cappella and G. Dietler, Surf. Sci. Rep. 34, 5 (1999).
3. J. Israelachvili, Intermolecular and Surface Forces, 2nd ed. (Academic, San Diego, 1992).
4. F. J. Giessibl, M. Herz, and J. Mannhart, Proc. Natl. Acad. Sci. U.S.A. 99, 12006 (2002).
5. W. A. Ducker, T. J. Senden, and R. M. Pashley, Nature (London) 353, 239 (1991).
6. C. Rotsch and M. Radmacher, Langmuir 13, 2825 (1997).
7. R. Matzke, K. Jacobson, and M. Radmacher, Nature Cell Biol. 3, 607 (2001).
8. C. D. Frisbie, L. F. Rozsnyai, A. Noy, M. S. Wrighton, and C. M. Lieber, Science 265, 2071 (1994).
9. M. Rief, F. Oesterhelt, B. Heymann, and H. E. Gaub, Science 275, 1295 (1997).
10. E. L. Florin, V. T. Moy, and H. E. Gaub, Science 264, 415 (1994).
11. B. A. Todd, S. J. Eppell, and F. R. Zypman, J. Appl. Phys. 88, 7321 (2000).
12. B. A. Todd, S. J. Eppell, and F. R. Zypman, Appl. Phys. Lett. 79, 1888 (2001).
13. J. E. Sader, J. W. M. Chon, and P. Mulvaney, Rev. Sci. Instrum. 70, 3967 (1999).
14. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations (Dover, New York, 1952).
15. A. N. Tikhonov, Dokl. Akad. Nauk. 151, 501 (1963).
16. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion (SIAM, Philadelphia, 1998).
17. J. A. Turner, S. Hirsekorn, U. Rabe, and W. Arnold, J. Appl. Phys. 82, 966 (1997).
18. M. V. Salapaka, H. S. Bergh, J. Lai, A. Majumdar, and E. McFarland, J. Appl. Phys. 81, 2480 (1997).
19. F. Gittes and C. F. Schmidt, Eur. Biophys. J. 27, 75 (1998).
20. S. J. Eppell, B. A. Todd, and F. R. Zypman, Mater. Res. Soc. Symp. Proc. 584, 189 (2000).
21. P. C. Hansen, Numer. Algorithms 20, 195 (1999).
22. P. C. Hansen, SIAM Rev. 34, 561 (1992).
23. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, UK, 1992).