Can I use the below attached equation for that by substituting waist radius w0 by the radius of focused laser beam? Aim of my project is the analysis of a Laser boring machine(LASAG KLS 246) .Laser used is Nd Yag with peak power of 6KW. I calculated the beam waist diameter inside the resonator cavity as 3mm. Laser beam is focused to the worktable using a lens with focal length 100 mm and I calculated the diameter of focused laser beam as 28.55 micrometer. I am using a P30 sensor with a maximum allowable power density of 6 KW/cm2 for measuring the power output.If i place the sensor at focus point it will damage the sensor so I would place the sensor at a distance x from the focus point.Assume that I placed the sensor at a distance of 200 mm from the focus point, how can I calculate the diameter of the laser beam at that distance.If I get the diameter, I can calculate the area of beam and power density at that point.
See the following link:
http://www.physics.iitm.ac.in/~ph5060/manuals/Gaussianlaserbeam.pdf
Yes, for Gaussian beams, this is a good start. For a great explanation of Gaussian beams and their coupling to optics, see W. B. Joyce and B. C. DeLoach, "Coupling of Gaussian beams," Applied Optics, vol. 23, pp 4187-4196 (1984). Readable and useful. It will give you confidence to use the Gaussian beam approximation that JL and YG endorse, above. And using the method proposed above by ICPA, you can determine if your beams are adequately modeled by a Gaussian approximation.
Sorry, only very brief: the laser you mentioned is a multimode-laser (M^2=2-20, according to LASAG) so you can NOT use simple Gaussian propagation to calculate but have to modify accordingly (with your M^2 value...)
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