Optical Misalignment: Estimating Error and Its Impact on Focal Length

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Optical misalignment can impact the focal length and introduce aberrations in a system with lenses. A slight angular misalignment of one lens primarily affects the position of the focal point rather than the focal length itself. However, it can lead to issues such as astigmatism and a tilted focal plane. The discussion suggests that while the focal length remains largely unchanged, the quality of the converging light cone is compromised. Understanding these effects is crucial for precise optical arrangements.
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Hi all

I was just wondering if anyone could help me with estimating error caused by misalignment of an optical arrangement. I am interested in how the focal length of this arrangement will be affected by say a misalignment of just one of the lenses. I'll assume that every component is aligned in the horizontal and vertical and that it is just a slight angular misalignment.

Say I have a laser followed by two lenses. Is there an equation to find the focal length of the system when the first lens is out of alignment by x degrees? Or will it actually have little effect on the focal length and just move the position of the focal point?

Any help would be appreciated
 
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I don't think it will have any effect on the focal length, but it would introduce aberrations in the converging light cone and the focal plane may be tilted slightly.
 
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