Well... I'm still waiting for that spanner wrench to setup the optical tube.
In the meantime I've looked moar at the spectrometer. It turns out the pixel vs. wavelength formula can be written down as the sum of the sine of some angles, one of witch is an arctangent. I can post that if anyone is interested, the formula gives some insight on how the spectrometer behaves when moving things around in a spreadsheet simulation for example. Not sure why the software uses a generic 3rd order polynomial with unphysical coefficients (?).
Also in the spolier below is a very rough simulation of the spectrometer in the Optical attracted program. It could be fine tuned to more closely resemble our spectrometer and one can play with the mirror angles/position in the program (below is a picture of the simulation).
Now... where is that spanner wrench! :want:
[Spoiler]
# OpticalRayTracer 9.6
# * OpticalRayTracer Home Page
# 2018.07.18 11:16:00 EDT
program {
antialias = true
askBeforeDeleting = true
beamAngle = 0.000000e+00
beamCount = 5
beamWidth = 1
clipboardGraphicXSize = 1280
colorArrow = -2147483393
colorBaseline = -16760832
colorBeam = -4194304
colorGrid = 1086374080
colorHighBackground = -1
colorLensOutline = 276865279
colorLensSelected = 268484608
colorLightSource = -16776961
colorLowBackground = -16777216
colorTerminator = -16777216
decimalPlaces = 4
defaultWindowHeight = 600
defaultWindowWidth = 900
dispScale = 0.042214
dispersionBeams = 8
divergingSource = false
helpScrollPos = 0
interLensEpsilon = 1.000000e-06
intersectionArrowSize = 0.050000
inverse = false
maxIntersections = 64
selectedComponent = 6
selectedTab = 0
showControls = true
showGrid = true
snapValue = 0.000000e+00
surfEpsilon = 5.000000e-04
tableLineLimit = 500
virtualSpaceSize = 100.000000
windowX = 100
windowY = 100
xBeamRotationPlane = 0.000000e+00
xBeamSourceRefPlane = -30.000000
xOffset = -3.094207
yEndBeamPos = 1.800000
yOffset = -44.420187
yStartBeamPos = -1.800000
}
object {
active = true
angle = 0.000000e+00
centerThickness = 0.100000
dispersion = 59.000000
function = 2
ior = 1.520000
leftCurvature = 3
leftSphereRadius = 10.000000
leftZValue = 20.000000
lensRadius = 9.600000
name = Terminal Plane
rightCurvature = 3
rightSphereRadius = 10.000000
rightZValue = 20.000000
symmetrical = true
thickness = 0.100000
xPos = -19.997900
yPos = -46.114000
}
object {
active = true
angle = -42.500000
centerThickness = 0.100000
dispersion = 59.000000
function = 1
ior = 1.520000
leftCurvature = 3
leftSphereRadius = 6.000000
leftZValue = 20.000000
lensRadius = 4.000000
name = Mirror 1
rightCurvature = 3
rightSphereRadius = 6.000000
rightZValue = 20.000000
symmetrical = true
thickness = 0.100000
xPos = 0.000000e+00
yPos = 0.000000e+00
}
object {
active = true
angle = 95.000000
centerThickness = 0.552385
dispersion = 0.000000e+00
function = 0
ior = 1.520000
leftCurvature = 2
leftSphereRadius = 23.600000
leftZValue = 850.000000
lensRadius = 3.600000
name = Lens 1
rightCurvature = 2
rightSphereRadius = 23.600000
rightZValue = 850.000000
symmetrical = true
thickness = 0.000000e+00
xPos = -1.500000
yPos = -12.500000
}
object {
active = true
angle = 88.000000
centerThickness = 0.400000
dispersion = 59.000000
function = 1
ior = 1.520000
leftCurvature = 1
leftSphereRadius = 36.000000
leftZValue = 20.000000
lensRadius = 1.700000
name = Lens 2
rightCurvature = 1
rightSphereRadius = -36.000000
rightZValue = 20.000000
symmetrical = false
thickness = 0.400000
xPos = -5.260000
yPos = -52.500000
}
object {
active = true
angle = 84.000000
centerThickness = 1.600000
dispersion = -1.330000
function = 0
ior = 1.320000
leftCurvature = 3
leftSphereRadius = -20.700000
leftZValue = 0.000000e+00
lensRadius = 3.100000
name = Lens 3
rightCurvature = 3
rightSphereRadius = 6.000000
rightZValue = 20.000000
symmetrical = false
thickness = 1.600000
xPos = -8.195500
yPos = -36.658600
}
object {
active = true
angle = 67.000000
centerThickness = 0.100000
dispersion = 68.000000
function = 1
ior = 1.520000
leftCurvature = 3
leftSphereRadius = 6.000000
leftZValue = 20.000000
lensRadius = 1.900000
name = Lens 3
rightCurvature = 3
rightSphereRadius = 6.000000
rightZValue = 20.000000
symmetrical = false
thickness = 0.100000
xPos = -8.226700
yPos = -36.605100
}
object {
active = true
angle = 21.000000
centerThickness = 0.459292
dispersion = 59.000000
function = 1
ior = 1.520000
leftCurvature = 1
leftSphereRadius = 37.700000
leftZValue = 20.000000
lensRadius = 5.000000
name = Lens 2
rightCurvature = 1
rightSphereRadius = -45.800000
rightZValue = 20.000000
symmetrical = false
thickness = 0.400000
xPos = 1.982600
yPos = -46.598500
}
[/Spoiler]
