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RP Fiber Calculator is a convenient tool for calculations on optical fibers.
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RP Fiber Power – Simulation and Design Software
for Fiber Optics, Amplifiers and Fiber Lasers

Example Case: Thulium-doped Blue Upconversion Fiber Laser

upconversion excitation of thulium ions in ZBLAN fiber

Figure 1: Level scheme of thulium (Tm3+) ions in ZBLAN fiber. The short gray arrows indicate multi-phonon transitions.

Description of the Model

We numerically simulate a fiber laser with the following properties:

The model uses spectroscopic data as published in R. Paschotta et al., “Characterization and modeling of thulium:ZBLAN blue upconversion fiber lasers”, J. Opt. Soc. Am. B 14 (5), 1213 (1997).


Figure 2 shows the power distributions in the fiber, and also the fractional excitation levels of the thulium ions.

power distribution in thulium-doped upconversion fiber laser

Figure 2: Power distribution in the fiber.

Figure 3 shows the output power as a function of the pump power. Also it shows the degree of excitation of the three metastable levels, averaged over the whole fiber length. Above threshold, the population of the highest level, which is the upper laser level, is clamped to a constant value.

output vs. input power of thulium-doped upconversion fiber laser

Figure 3: Variation of the pump power.

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