Ultramicroscopy 42-44 (1992) 345-350 ~ ~ y
North-Holland
Mechanical and thermal effects of laser irradiation
on force microscope cantilevers
O. Marti, A. Ruf, M. Hipp, H. Bielefeldt, J. Colchero and J. Mlynek
Fakultiit fiir Physik, Uni~,ersith't Konstanz, W-7750 Konstanz, Germany
Received 12 August 1991
In an optical lever set-up one or two modulated laser beams of 0,1 to 6 mW modulation amplitude at a wavelength of 670
nm were focused at uncoated and gold-coated microfabricated cantilevers. The motion of the levers was analyzed by an
optical lever set-up. The mechanical resonance (30 to 60 kHz) of the cantilevers was excited by the modulated light both in
air and under vacuum conditions (10 6 mbar), The measured resonance frequencies and the width of the resonances were
identical to the values found by exciting the cantilevers by piezo ceramics. At low frequencies under vacuum conditions, we
found an increase of the oscillation amplitude with decreasing frequency. The time constant of this increase is of the order
of 5 ms. At the resonance frequency of uncoated cantilevers light pressure effects dominate thermal effects; the resonance is
thus excited by light pressure. Gold-coated cantilevers, however, are driven by the bimetal effect, even above 10 kHz. A
possible application of the light pressure effects is the use of a modulated light beam in the attractive mode operation of a
scanning force microscope to excite the cantilever oscillation.
1. Introduction 2. Theoretical considerations
Scanning force microscopy (SEM) [1-3] has
proved to be a valuable tool for investigation of a
vast array of different systems, such as biological
samples [4], magnetic structures [5] and local
charges [6]. Many scanning force microscopes to-
day use some kind of optical detection for the
deflection of force sensing cantilevers [2,3]. Opti-
cal detection is simple and efficient for both
static and dynamic measurements of forces. The
investigation of samples by weak forces is often
limited by the noise in the detection system. The
interaction of light with force sensing cantilevers
is usually neglected, although a report on the
photothermal excitation of a cantilever resonance
has been published [7]. A better understanding of
the physics of the force detection will help to
improve the accuracy and usefulness of scanning
force microscopes.
The interaction of light with the cantilever is
through mechanical and thermal processes. The
input power Iin is partially reflected (Iref = r/in),
where r is the reflectance coefficient and par-
tially absorbed according to
l(z) = (1 -r)li.e vz (1)
where y is the absorption coefficient. Since the
thickness of the cantilevers is of the order of the
wavelength of the light part of the light (I t .... ) is
transmitted; this intensity also includes the light
which was diffracted by the cantilever. The me-
chanical momentum transferred by reflected pho-
tons to the cantilever is given by
p = 2hk cos a, (2)
0304-3991/92/$05.00 © 1992 - Elsevier Science Publishers B.V. All rights reserved