Results and comparison of a cladding pumped fiber simulation using a decagon-shaped fiber

D. Young; C. Roychoudhuri

doi:10.1364/OE.11.000830

Optics Express
Vol. 11,
Issue 7,
pp. 830-837
(2003)
•https://doi.org/10.1364/OE.11.000830

Results and comparison of a cladding pumped fiber simulation using a decagon-shaped fiber

D. Young and C. Roychoudhuri

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D. Young and C. Roychoudhuri, "Results and comparison of a cladding pumped fiber simulation using a decagon-shaped fiber," Opt. Express 11, 830-837 (2003)

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Abstract

This paper presents a simulation technique developed to concurrently model the pump and laser power evolution in a cladding pumped rare-earth doped fiber. The simulation technique uses a series of scaling factors to dramatically decrease simulation run-times, while maintaining accuracy. This approach differs from previous methods in that it can simulate arbitrary pump cladding shapes. The results of the simulation are validated using a decagon-shaped cladding pumped, ytterbium doped fiber. Good correlation is found between the simulated and experimental pump evolution and conversion efficiency.

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Fig. 1. Pump and laser (signal) power evolution as a function of length for the simulated decagon-shaped fiber. In this case a pump power of 2 watts was used. The simulation length was 16 cm.

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Fig. 2. End micrograph of the experimental decagon-shaped fiber. The diameter of the pump clad is nominally 230 µm. Cleave damage obscures the upper and lower apices.

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Fig. 3. Simulated and experimental pump absorption as a function of length for the 230 µm diameter decagonal fiber. The length scale chosen reflects a range of typical device lengths for cladding pumped devices.

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Fig. 4. Simulated and experimental conversion efficiency as a function of length for the 230 µm diameter decagonal fiber.

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Equations (8)

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\frac{\partial \overset{⇀}{E}}{\partial z} = - j \frac{1}{2 k} \nabla_{⊥}^{2} \overset{⇀}{E} - j \frac{μ_{0} ω^{2}}{2 k} \overset{⇀}{P}

\overset{⇀}{P} = ε_{0} χ_{at} \overset{⇀}{E}

{\overset{⇀}{χ}}_{at} (w) = \frac{- j}{4 π^{2}} \frac{I^{3} g_{rad, 2 \to 1}}{Δ w_{a}} (\frac{g_{2}}{g_{1}} N_{1} - N_{2}) \frac{1}{1 + \frac{2 j (w - w_{a})}{Δ w_{a}}}

χ ″ = \frac{1}{4 π^{2}} \frac{λ^{3} γ_{rad 2 \to 1}}{Δ ω_{a}} (\frac{g_{2}}{g_{1}} N_{1} - N_{2})

\overset{⇀}{u} (x, y, z) = \frac{j}{(z - z_{0}) λ} \int \int \overset{⇀}{u} (x_{0}, y_{0}, z_{0}) e^{\frac{- j k {(x - x_{0})}^{2} + {(y - y_{0})}^{2}}{2 (z - z_{0})}} d x_{0} d y_{0}

Δ N = [\frac{N_{0}}{W_{a} + W_{e} + \frac{1}{τ_{2}} + R_{13}}] [\frac{g_{2}}{g_{1}} (W_{e} + \frac{1}{τ_{2}}) - (W_{a} + R_{13})]

Δ E = - j \frac{k χ^{″}}{2 n^{2}} E_{in} Δ z

α_{fiber} = α_{core} \frac{A_{core}}{A_{clad}}

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Equations (8)

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