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 RONAR-SMITH®
LASER OPTICS & IR IMAGING
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Using
Laser Beam Expanders
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Laser Beam expanders
are designed to decrease the laser's beam spot size at
large distances. There are two main types of beam
expanders: Keplerian and Galilean. In its simplest
form, the Galilean type consists of a positive and a
negative focal length lens whereas the Keplerian type
consists of two positive focal length lenses. Both
designs provide a certain angular magnification,
called the Expander Power. The beam diameter is first
increased in size by this power and then the beam
divergence is reduced by the same power. This
combination yields a beam that is not only larger, but
one that is also highly collimated. The result is a
smaller beam at a large distance when compared to the
laser alone (Equation 1.0).
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Equation 1.0:
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BL
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=
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ß + ØL (0.3048)
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where:
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BL
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=
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Beam Diameter (mm) at distance L
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ß
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=
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Increase in Beam Diameter
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=
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Beam Diameter (mm) x Expander Power
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Ø
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=
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Decrease in Beam Divergence
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=
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Beam Divergence (mrad) Expander Power
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L
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=
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distance (ft.)
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equation is an approximation for the collimated output
beam size at a given distance.
Note that the beam
divergence specifications in our catalogs are for the
full angular spread of the beam.
In addition, an
expanded beam can yield smaller spot sizes when used
in combination with additional focusing optics. This
is very useful in focusing optimization. however, many
applications simply require a larger continuous beam.
The beam expander
power (MP) is equal to the ratio of the effective
focal length (EFL) of the objective lens to the
effective focal length of the entrance optic. The
physical separation between the objective lens and
entrance optic is equal to the sum of their back focal
lengths (BFL).
The relation between
beam expander power, input and output beam divergences
as well as lens spacing for both Keplerian and
Galilean type expanders is: |
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All Edmund
designed beam expanders are of the Galilean type. The
advantages of the Galilean design over the Keplerian
are twofold.
- The Galilean design
contains no internal focal point and
- The overall length of
the Galilean as compared to a similar power
Keplerian design is smaller.
In addition to improving
beam collimation, all Edmund Optics beam expanders can
be used to focus laser beams. The simulated focusing
performance for the 5x, 10 and 20x beam expanders is
listed below for comparison. The spot sizes are given
in units of microns and were calculated for a 0.63mm
diameter laser beam at 632.8nm assuming M2=1 and a
perfectly collimated input beam. |
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Distance
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Beam Expander Power
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5x
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10x
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20x
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1.2m
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439.19µm
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219.63µm
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111.04µm
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1.5m
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559.62µm
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279.84µm
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141.47µm
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2.5m
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961.07µm
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480.54µm
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242.89µm
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5m
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1964.86µm
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982.26µm
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496.36µm
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10m
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3973.17µm
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1985.49µm
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1002.87µm
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The 1/e2 spot diameters listed were
calculated from the equation:
2 * f/# * wavelength, where
f/# is the working f/#.
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