| Optical resolution of a monochromatic
source -- -- measured as Full Width Half Maximum
(FWHM) -- depends on the groove density (mm-1) of the grating and the
diameter of the
entrance optics (optical fiber or slit). In configuring your spectrometer, consider two
important trade-offs: 1) Resolution increases with an increase in the groove density of
the grating, but at the expense of spectral range and signal strength; and
2)
Resolution
increases as the slit width or fiber diameter decreases, but at the expense of signal
strength.
How to Calculate the Approximate Optical Resolution in nm (FWHM)
1. Determine the
Spectral Range of the Grating. You can find the Spectral Range of Gratings at:
2. Divide the
Spectral Range of the Grating by the Number of Detector Elements. The
resulting value is the Dispersion.
Dispersion (nm/pixel) = Spectral Range
of the Grating/Number of Detector
Elements
The table below lists the
Detector Elements for various spectrometer benches and models.
|
Spectrometer |
Number of Detector Elements |
|
Jaz Spectrometer |
2048 |
|
USB2000 Spectrometer |
2048 |
|
USB2000+ Spectrometer |
2048 |
|
USB4000
Spectrometer |
3648 |
|
HR2000 Spectrometer |
2048 |
|
HR4000
Spectrometer |
3648 |
|
NIR256-2.1
Spectrometer |
256 |
|
NIR256-2.5 Spectrometer |
256 |
|
NIR512
Spectrometer |
512 |
|
NIR512-2.2
Spectrometer |
512 |
|
QE65000 Spectrometer |
1044 |
3.
Determine the Pixel Resolution
The pixel resolution is listed below for
various sizes of slits (or the optical fiber diameter if the fiber is the limiting
factor). The width of the entrance aperture slits
differs; the Height of all slits are the same (1000 microns).
|
Spectrometer |
5 micron
Slit |
10 micron
Slit |
25 micron
Slit |
50 micron
Slit |
100 micron
Slit |
200 micron
Slit |
|
Jaz Spectrometer |
~3.0 pixels |
~3.2 pixels |
~4.2 pixels |
~6.5 pixels |
~12.0 pixels |
~24.0 pixels |
|
USB2000 Spectrometer |
~3.0 pixels |
~3.2 pixels |
~4.2 pixels |
~6.5 pixels |
~12.0 pixels |
~24.0 pixels |
|
USB2000+ Spectrometer |
~3.0 pixels |
~3.2 pixels |
~4.2 pixels |
~6.5 pixels |
~12.0 pixels |
~24.0 pixels |
|
USB4000
Spectrometer |
~5.3 pixels |
~5.7 pixels |
~7.5 pixels |
~11.6 pixels |
~21.0 pixels |
~42.0 pixels |
|
HR2000 Spectrometer |
~1.5 pixels |
~2.0 pixels |
~2.5 pixels |
~4.2 pixels |
~8.0 pixels |
~15.3 pixels |
|
HR2000+ Spectrometer |
~1.5 pixels |
~2.0 pixels |
~2.5 pixels |
~4.2 pixels |
~8.0 pixels |
~15.3 pixels |
|
HR4000
Spectrometer |
~2.0
pixels |
~3.7
pixels |
~4.4
pixels |
~7.4
pixels |
~14.0
pixels |
~26.8
pixels |
NIRQuest
512 Optical Resolution |
N/A |
~1.3 pixels |
~2.0 pixels |
~2.3 pixels |
~4.2 pixels |
~7.9 pixels |
NIRQuest
512-2.2 Optical Resolution |
N/A |
~1.3 pixels |
~2.0 pixels |
~2.3 pixels |
~4.2 pixels |
~7.9 pixels |
NIRQuest
512-XR Optical Resolution |
N/A |
1.3 pixels |
2.0 pixels |
2.3 pixels |
4.2 pixels |
7.9 pixels |
NIRQuest
512-1.9 Optical Resolution |
N/A |
1.3 pixels |
2.0 pixels |
2.3 pixels |
4.2 pixels |
7.9 pixels |
NIRQuest
256-2.1 Optical Resolution |
N/A |
~1.5 pixels |
~1.7 pixels |
~2.0 pixels |
~2.5 pixels |
~4.0 pixels |
NIRQuest
256-2.5 Optical Resolution |
N/A |
~1.5 pixels |
~1.7 pixels |
~2.0 pixels |
~2.5 pixels |
~4.0 pixels |
|
QE65000 Spectrometer |
~2.0 pixels |
~2.2 pixels |
~2.6 pixels |
~3.3 pixels |
~4.7 pixels |
~8.9 pixels |
4.
Calculate the Optical Resolution (in nm)
Dispersion (Step 2) x
Pixel Resolution
(Step 3)
Example: Determine the Optical Resolution of a USB4000 Spectrometer
with Grating #3, 10-micron Slit
650 nm (spectral range of Grating #3)/3648
(detector elements in USB4000) = 0.18 nm/pixel x 5.7 pixels
= 1.0 nm
(FWHM)
Note: Values rounded up to nearest tenth.
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