Question

A fiber laser (? =1070 nm) with output power of 300 W is being used. The...

A fiber laser (? =1070 nm) with output power of 300 W is being used. The 1/e2 radius at the waist of the beam is 100 μm and is located at the surface of a substrate.

1. If the beam is Gaussian, what is the size of the beam 10 mm below the substrate?

2. If the beam has an M^2 value of 7.7, what is the size of the beam 10 mm below the substrate?

3. In terms of the radius of the beam (r) and the waist radius (?0), what is the intensity distribution of the Gaussian beam at the substrate?

4. What is the maximum (peak) intensity at the substrate

5. If a beam has a 1/e2 waist radius of 100 μm, an ?2 value of 7.7, and has a “top-hat” intensity distribution, what is its maximum (peak) intensity?

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