I’m rebuilding the optics in my light-measurement device. Right now the module relies on two lenses, a circular diffuser plate, and an aperture to guide visible light from a 30 mm entrance circle down to the 5 mm active area of the detector. It works, but the cost of the double-lens stack is no longer acceptable. Your mission is to engineer a new light path that achieves the same 30 mm-to-5 mm concentration using just one readily available, low-cost catalogue lens. Please analyse the ray geometry, calculate transmission and spot size, and confirm that we stay within the detector’s field of view while avoiding vignetting or excessive aberrations. If a minimal diffuser or baffle is still required, specify it, but the core goal is a single-element solution. I will need: • A clear justification for the chosen lens (datasheet reference or part number) • Ray-trace or analytical calculations showing energy throughput and spot diameter across the visible spectrum • A simple mechanical drawing or step file that positions the lens at the required distance from both the entrance port and the measurement chip, including tolerances tight enough for 3-D printing or basic machining • An estimate of optical efficiency versus my current setup so I can judge the trade-off between cost and performance Feel free to use Zemax, OpticStudio, OSLO, Code V, or open-source tools such as Python+Raysect; just include screenshots or exported reports so I can reproduce the numbers. If the design meets the 5 mm spot size with at least the same photon throughput I have now, I’ll consider the job successfully completed and move straight to prototyping.