RESEARCH ARTICLE
Copyright © 2009 American Scientific Publishers
All rights reserved
Printed in the United States of America
Journal of
Holography and Speckle
Vol. 5, 1–11, 2009
CoherenceEffectsinApplicationsofFrequencyand
TimeDomainFullFieldOpticalCoherence
TomographytoOpticalMetrology
I. Abdulhalim
Department of Electrooptic Engineering, Ben Gurion University of the Negev,
P.O. Box 653, Beer Sheva 84105, Israel
The interplay of spatial versus temporal coherence in the context of full field optical coherence
tomography (OCT) for optical metrology applications is investigated both theoretically and experi-
mentally using the Linnik and the Mirau interference microscopes. It is shown that multiple inter-
ference effects have a little influence on the thin film thickness measurement when the coherence
length is much smaller than the layers thickness. When high numerical apertures used it is possible
to rely on the longitudinal spatial coherence and work with narrow spectral band thus improving
the measurement accuracy. This is particularly important as it avoids taking the dispersion relations
into account. For frequency domain (FD) operation we have shown that using objectives with low
numerical aperture (NA) up to 0.3 it is still possible to use FD-OCT with high accuracy. For large
NA objectives the use of narrow annular apertures is shown to be possible without sacrificing the
axial resolution. In this case one can even use the inverse scattering approach in which a simplified
model is built for the multilayered structure and fitting is performed with the measured spectrogram.
This is shown to be more sensitive technique than polarized reflectometry.
Keywords:
1. INTRODUCTION
Optical metrology has been
1
the drive for innovative opti-
cal techniques over the years. The need for more and
more accurate measurements of thickness, step height and
surface profile led to the development of ellipsometry,
polarized reflectometry and interferrometry to allow sub-
nm accuracy. Modulated spectroscopic and variable angle
ellipsometry
2
is capable of measuring sub-Angstrom vari-
ations in thickness and allows measuring refractive indices
dispersion to accuracy better than 0.0001. With the advent
of detector arrays and CCD cameras the ease of build-
ing a setup and acquiring data in high speed enhanced
the performance of optical metrology techniques. Image
processing has played a key role in enhancing optical
microscopy as a quantitative measurement tool. In the sil-
icon microelectronic industry the optical microscope com-
bined with CCD camera, image processing and automatic
scanning with nano scale accuracy has acted and still act-
ing as a must for any fabrication facility. Among the most
prominent applications are in the inspection of overlay
misregistration between two layers and the width of a
line called critical dimension (CD) which represents the
width of the transistor gate. Different optical microscopy
modes have been in use for variety of layered structures.
3–5
Interference microscopy
6 7
was used when the layers are
transparent to enhance the contrast of the image. Differ-
ential interference contrast (DIC) microscopy or Nomarski
microscopy is being used for step height and surface
profiling. Three dimensional images for lines were also
obtained by the KLA-Tencor Linnik microscope system
8
from which CD and overlay were measured with nm accu-
racy. Dark field and polarized imaging are used when
the edges are scattering, in order to enhance the edge
detection. When the era of nano-electronics started, that is
with the shrinkage of the design rules to the nano scale
9
(<200 nm) the resolution limit for an optical microscope
affected the measurement accuracy of the CD and overlay.
This fact has led to the invention of optical spectroscopic
scatterometry
10
as a powerful tool to measure line widths
down to 20 nm using visible and UV light as well as for
overlay measurement.
11
In its simplest configuration,
12–14
optical scatterometry technique measures reflection from
zero order gratings as a function of wavelength and uses
inverse scattering methodology to extract the lines width
with sub-nm accuracy.
J. Holography Speckle 2009, Vol. 5, No. 2 1546-900X/2009/5/001/011 doi:10.1166/jhs.2009.1013 1