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A homework assignment for optical sciences 421/521 students, focusing on understanding specifications for stock lenses and developing a tolerance analysis for optical elements in a doublet. Students are required to choose specific optical components, write their complete specifications, provide explanations for tolerances, and use ray trace programs to determine sensitivities and set tolerances.
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Fall 2007
Optical Sciences 421/521 Homework 1
There are two parts to this. Each part should have its own report.
Undergraduate students can work in pairs for this assignment, jointly submitting reports for part A and part B.
Part A) Understanding specifications for stock lenses
Look at catalogs or web sites from companies that supply optical components. Choose a lens, a mirror, and a prism. For each: Write the complete specification (as given in the catalog) Give the tolerances published for this element. Provide a brief explanation for each of the tolerances. (What does it mean? How does it affect optical performance?)
Part B) Tolerancing optical lenses For the doublet from HW 4, develop a tolerance analysis for the optical elements which contributes less than 0.04 λ rms to the system wavefront error budget. Errors should include: Surface radii of curvature Lens thickness Wedge Surface irregularity Refractive index error Refractive index variation (inhomogeneity)
Assume focus compensation as you did for HW4.
You should use a ray trace program such as Zemax, CodeV, Oslo, to determine the sensitivities for the geometric parameters. You can use rules of thumb and calculations to determine the affect of surface figure and index variations. Then create a spreadsheet to help set the tolerances to sensible values. If you do not have access to a ray trace program, Dr. Burge can provide the sensitivities.
Specify the tolerances so that the lenses could be manufactured. Specify the grade of glass so it could be purchased from Schott.
You should write a report called “Lens requirements for focusing doublet.”