A Student's Guide to Fiber Lasers by Motes Andrew

Author:Motes, Andrew [Motes, Andrew]
Language: eng
Format: epub
Publisher: AM Photonics
Published: 2014-11-04T16:00:00+00:00

(68)

where γ is the gain coefficient given by

(69)

and P s (z ) is signal power measured in watts rather than photon flux. If I now include an internal fiber loss term, α int , I get a general equation that shows the growth or loss of optical power along the length of the fiber. This equation is

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(70)

N 2 , N 1 , and γ are all z -dependent due to the variation in signal irradiance and population inversion density along the z axis. I will address this issue later in the discussion of gain saturation.

If our gain element is inside a Fabry-Perot optical resonator, the threshold condition for oscillation is that the round-trip gain must equal the round-trip loss. Let R 1 and R 2 represent the power reflectance of the two resonator reflectors and l represent the single-pass distance through the gain element. Using the reflectance of each mirror to obtain the power reflected within the resonator at each end and the gain equation above, the threshold powers at the mirrors are

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