
Appendices
A. Wavelength Ranges
The CM110/112 is restricted to angles between 0 and 70 degrees. The upper restriction is imposed because the grating is
almost edge-on to the incident beam beyond this angle.
From these restrictions, one may use the grating equations to calculate the valid ranges and step sizes for any particular grating.
The table below lists the maximum wavelength for each grating set in the CM110/112’s software.
UPPER WAVELENGTH SCAN LIMIT AND MAXIMUM WAVELENGTH
INCREMENTS PER ANGULAR STEP FOR DIFFERENT GRATINGS
(Lower wavelength scan limit is zero)
Grating
Upper limit
Grv/mm nm
3600 500
2400 750
1800 1000
1200 1500
600 3000
300 6000
150 12000
75 24000
Diffraction Limit to Resolution
The grating used in a CM110/112 is a reflective surface with a series of vertical parallel grooves. Collimated light is directed
toward the grating, which in turn diffracts the light into component wavelengths. A slight rotation of the grating causes a
change in wavelength transmission. For a fully illuminated grating, the resolution of a grating, or ability to distinguish between
two wavelengths, is given by the following equation:
m
= order
N
= total number of grooves illuminated
d
= is groove density in gr/mm
λ
= wavelength at slit
W
= grating width(mm)
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21
Wd
N
λ
λ
λ
λ
=
∆
=
∆
or
Example: with 1200 gr/mm, 30mm wide @ 600nm
∆λ
= 600/(1200 * 30) = .017nm if grating is full
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