These problems are all meant to be worked individually. For 1) and 2) you are on your own (of course you can ask the staff questions...). For 3) you can consult heavily with the others in the class, but everyone should submit a unique solution to the problem.
a) Turn in your optimized solution lens file from Oslo.
b) Estimate the 5-sigma detection limit for point sources in 10 minutes of observation in the L'-band and M-band for two cases:
The primary concern here is the emissivity of the objective - which will be at ambient temperature. Assume a good anti-reflection coating so that only bulk material transmission determines the absorption (and thus the emissivity of the front-end optics). If your bulk absorption is less than 1% then assume a minimum emissivity per warm optic of 3%. The other concern would be the emissivity of the sky itself, but we will assume that the temperature of the sky is much lower than that of the ambient environment and that you have chosen a bandpass that is restricted to significantly transparent regions of the atmosphere.
This problem could be pursued with an extensive set of lenses. Fortunately, Oslo comes to the rescue (at least the EDU edition) by only permitting you 10 surfaces). You can allocate them however you like, but let this Oslo restriction set the ultimate complexity of your design. You should use spherical surfaces, but, if you want to be ambitious I will allow one aspherical surface in the design. If you wish, instead of placing that asphere on one side of a lens you can use that asphere as a reflective component in the re-imager part of the system.
Oslo Reference Manual - 429 pages of fun.
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