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The location of focal planes and waists can be calculated using the equivalent Gaussian beam method. Predictions can be made for both Gaussian and top-hat (flat phase, flat irradiance profile) beams. A Fresnel number relationship is given where the waist of top-hat beams can be either within or outside the far field region. Experimental implications of this focal plane shift for top-hat and gaussian beams are discussed. The most important implication is that calculated reference power-in-the-bucket curves, used to calculate beam quality, may be off as much as 5% for top-hat beams, when not taking into account focal shifts for some optical systems.
Sallie S. Townsend andPhilip R. Cunningham
"Experimental implications of focal-plane behavior of Gaussian and top-hat beams", Proc. SPIE 1625, Design, Modeling, and Control of Laser Beam Optics, (1 June 1992); https://doi.org/10.1117/12.58967
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Sallie S. Townsend, Philip R. Cunningham, "Experimental implications of focal-plane behavior of Gaussian and top-hat beams," Proc. SPIE 1625, Design, Modeling, and Control of Laser Beam Optics, (1 June 1992); https://doi.org/10.1117/12.58967