How Do You Calculate the Minimum Gaussian Beam Waist?

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To calculate the minimum Gaussian beam waist, one must consider the initial beam waist and the focal length of the lens. The relationship between beam waist and beam divergence is governed by the conservation of the product of these two quantities in linear optical systems. A lens alters the beam divergence by focusing the beam, which affects the minimum beam waist achievable. Understanding how the lens parameters influence beam propagation is crucial for accurate calculations. The discussion emphasizes the importance of these optical principles in determining the minimum beam waist.
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Physics students out there...how do you find the Minimum Beam waist after being given the beam waist and the focal length of a lens? Please help!
 
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The quantity (beam waist)*(beam divergence) is conserved in linear optic systems. How does the lens change the beam divergence?
 

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