By AZoNano
Table of Contents
Introduction
Optical Interferometry
Limits on Lateral Resolution
Beating the Diffraction Limit
Conclusions
About Bruker
Introduction
White light interferometry is one of the most rapid, precise and
versatile surface measurement techniques available to researchers and
manufacturers. Conventionally, interferometric technology has
limitations in lateral resolution when compared to a couple of other
techniques.
This application note explains Bruker’s development of an
interferometric measurement mode, AcuityXR
that efficiently overcomes this optical diffraction limit, resolving
finer detail in a number of surfaces without compromising the other
advantages of white light interferometry.
Optical Interferometry
Interferometric methods offer rapid, high-accuracy and versatile
surface measurements. The measurement principle is relatively simple, a
single beam of light is split into two parts wherein one part is
reflected off a high-quality reference surface and one part from the
test surface; the light is then recombined and either the phase of the
resulting signal or its contrast is measured as the test object moves
through focus. This results in a series of optical fringes that
correspond to the topography of the sample surface, much like a
topographic map for geographic areas.
With this method it is possible to obtain vertical noise floors less
than 0.01nm using a standard commercial system, with measurement times
on the order of a few seconds and virtually no setup time.
Limits on Lateral Resolution
There are two potential limits on the lateral resolution of an
optical system. They are as follows:
- The first is pixel-limited resolution, where two adjacent
features are imaged into a single camera pixel, and thus there is no
way to differentiate between the features in the final digitized image
as shown in Figure 1. The black lines represent camera pixels and the
red curves are the images of perfect lines as spread out by the optical
system. Since both the red curves are imaged onto the same pixel, only
one bright spot will be observed rather than one for each feature.
Pixel-limited resolution is encountered at low microscope
magnifications, such as 2.5X, 5X, or 10X where the optical resolution
often exceeds the pixel resolution of the system.
- Another possible limitation to lateral resolution is
optics-limited where there are at least two camera pixels for each
feature but where multiple features are so blurred by the optics that
they still cannot be readily distinguished from each other as shown in
Figure 2. This is known as diffraction limited resolution. The
diffraction-limited resolution d is
typically defined using the Sparrow criterion formula d = 0.47l/NA, where l is the
wavelength of light and NA is the numerical aperture of the optical
system used to image the feature. For visible-light microscope systems,
including white-light interferometers, this limit is usually about 350
to 400 nm. High-magnification objectives, such as 20X, 50X, and 115X
typically produce diffraction-limited images.

Figure 1. Illustration of pixel-limited
resolution. The red bars represent the overall light collected in each
pixel. The two adjacent features will not be distinguished because of
inadequate camera pixel spacing.

Figure 2. Illustration of diffraction-limited
resolution. Features are wider than the camera pixel spacing but are
blurred due to the optics of the system and in this case are barely
separated.
Beating the Diffraction Limit
Overcoming this diffraction limit will offer significant advantages
to the user of such an optical system. Some of the primary applications
where such a technique would be useful include the following:
- Defect detection on glass, silicon, plastic, or other substrates
- Examination of micro-scratches from polishing processes, such as
for orthopedics or other finely ground surfaces
- Linewidth measurements of very small features
- Nanoscale roughness determination of smooth surfaces
- Distinguishing fine features and determining precise motions of
MEMS devices
- Nanoscale quality control for medical implants, including optics,
orthopedics, and monitoring devices
- Imaging of sub-cellular structures in biological applications
Various methods have been proposed to overcome the limited lateral
resolution of optical systems. For improving diffraction-limited
resolution, only a few very specific, well-controlled cases have been
described in the literature.
AcuityXR,
has been designed in such a way that it can significantly enhance the
lateral resolution for a broad class of measurements. AcuityXR
works on any smooth surface in which the phase of the light is examined
and used to calculate the surface from the white-light-interferometric
signal.
Conclusions
AcuityXR
is an innovative technology available for most models of Bruker’s
optical profilers. It employs system modeling, low-noise measurements,
and the integration of multiple surface scans. With this combination,
the blur caused by the optical elements can be reduced and lateral
resolution considerably enhanced. Greater detail can be seen in many
surfaces. For narrow features, AcuityXR
also offers significantly enhanced quantification of variations, making
process control possible even on small structures. While AcuityXR
is not suitable for all surfaces, for smooth, fine features it improves
the measurement capability of the optical profiler.
About Bruker
Bruker
Nano provides Atomic Force Microscope/Scanning Probe Microscope
(AFM/SPM) products that stand out from other commercially available
systems for their robust design and ease-of-use, whilst maintaining the
highest resolution. The NANOS measuring head, which is part of all our
instruments, employs a unique fiber-optic interferometer for measuring
the cantilever deflection, which makes the setup so compact that it is
no larger than a standard research microscope objective.

This information has been sourced, reviewed and
adapted from materials provided by Bruker AXS.
For more information on this source, please visit Bruker
AXS.