A ABCD matrix formalism for real laser

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The discussion focuses on determining the beam waist of a Gaussian beam after passing through an optical setup using the ABCD matrix formalism. The user has the initial waist from laser specifications but is uncertain about the wavefront radius needed for calculations. They seek clarification on whether the minimum in the waist versus distance plot indicates a zero wavefront. The conversation highlights the importance of understanding both parameters for accurate lens selection to achieve the desired beam waist. Overall, the user is looking for guidance on the initial properties of Gaussian beams in relation to their optical setup.
kelly0303
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Hello! I have an optical setup and a laser producing a gaussian beam and I would like to get the waist of the beam at the end of the setup (i actually want to know what focal length to use for some lenses, such that I get a certain beam waist in the end). Getting the ABCD matrix for my setup is straightforward (I don't need to be super accurate, e.g. I don't account for the lenses thickness), but I am not sure about the initial properties of the beams. For a gaussian beam (which is my case), the 2 parameters that get propagated using ABCD formalism are the waist and the radius of the wavefront of the beam. I have the waist at the beginning of my setup from the laser specifications (they provide waist vs distance from the laser head), but I can't seem to find any information about the wavefront and I am a bit confused about how to obtain that. In their waist vs length plot there is a minimum, can I assume that the wavefront is zero there, or is that not generally the case? Thank you!
 

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