Fe parameters - UCAR
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Parameters for DST Horizontal Echelle Spectrograph
28-Jun-2006
SPINOR: Sarnoff
Wavelength 5250 Å l
Slit width 50 microns b
Focal length 3040 mm L
Lines/mm 308.5714 0.0032407 5 1/d d
Spectral Pixel size 16 microns p
Spatial Pixel size 16 microns
Grating length 206 mm W
Blaze angle 52.0000 deg
Incident Angle 56.3400 deg i
Order 10 m
slit length 20.00 mm 2*h 4.3728
Image scale at slit 133.00 mm/arc-sec
Slit spatial sample 0.38 arc-sec
Detector spatial pixels 450.00 pixels
Detector spatial length 7.20 mm
Detector spectral pixels 512.00 pixels
Detector spectral length 8.19 mm
Chosen f/# 36.00
Projected Grating Width 126.83 mm pw=Wcos(blaze)
Geometrical Width 84.44 gw=fl/f#
Diffraction Width 63.84 dw=2*l/b 49.8 50.6
Illumination Width 105.86 iw=sqrt(gw^2+dw^2)
Effective Width 105.86 lesser of iw and pw 48.3 46.77 51.7
Required Grating Length 171.91
Required Grating Height 104.44
Reflection angle 51.9672 deg -4.373 q = asin ( m l /d - sin(i) ) 4772.727 5833.333
Slit Magnification 0.90 M=cos(i)/cos(q) 4375.000 6562.500
Resolving Power 618263 R = W(sin(i)+sin(q)) /l not correct need eff.
Camera Lens fl 1000 mm l
Dispersion 5.008E+06 m/m lmd/cos(q)
0.501 microns/mÅ D
Diffraction Resolution 8.49 mÅ l/R
Spectral pixel width 31.95 mÅ/pixel p/D l
Spectral slit width 29.54 mÅ l*b*M/DL
Spectral Resolution 44.33 mÅ RSS
Spectrum length 16.36 Å
Spectrum curvature 1.424E-05 radians sec(q) m l a^2 / 2d
43.28 microns where a = h/L
0.87 pixels pixels
Spatial coverage 149.53 arc-sec 164.57 cube size 15.5 mm 398
Spatial Pixel size 0.37 arc-sec
Grating Efficiency 0.682 i = sin(x)/x
Shading 0.877 where x = p m [cos(blaze) -
Total 0.598 sin(blaze)/tan((i+q)/2)]
1.456
shade = 1. - sin(q - blaze)/sin(90. - blaze)
0.877 incidence
0.999 reflection
0.877
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