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Laser power output versus tuning. Suppose that the frequency of a single axial mode can be tuned across the full gain profile of a homogeneous

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Laser power output versus tuning. Suppose that the frequency of a single axial mode can be tuned across the full gain profile of a homogeneous laser transition at fixed pump power, with all other axial modes suppressed or spaced far outside the gain profile. Show that the power output versus frequency curve for this mode can be written as 2 Iout (w) = 7- 1- 2 w - Wa be Isat X Awa 2 and that the full tuning range over which this mode will oscillate is given by Awose = Awa X vr - 1, where r measures how far above threshold the laser is pumped at line center

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