• Photonics Research
  • Vol. 1, Issue 4, 186 (2013)
Rumao Tao, Xiaolin Wang, Hu Xiao, Pu Zhou*, and Lei Si
Author Affiliations
  • College of Optoelectric Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China
  • show less
    DOI: 10.1364/PRJ.1.000186 Cite this Article Set citation alerts
    Rumao Tao, Xiaolin Wang, Hu Xiao, Pu Zhou, Lei Si. Coherent beam combination of fiber lasers with a strongly confined tapered self-imaging waveguide: theoretical modeling and simulation[J]. Photonics Research, 2013, 1(4): 186 Copy Citation Text show less
    Schematic diagram of the waveguide-based CBC system.
    Fig. 1. Schematic diagram of the waveguide-based CBC system.
    Schematic diagram of a tapered waveguide.
    Fig. 2. Schematic diagram of a tapered waveguide.
    Amplitude distribution in the SCTW for Gaussian beam propagation. (a) Offset input Gaussian beam and (b) axially aligned input Gaussian beam.
    Fig. 3. Amplitude distribution in the SCTW for Gaussian beam propagation. (a) Offset input Gaussian beam and (b) axially aligned input Gaussian beam.
    Field distribution at the output of the SCTW. (a), (c), (e), and (g) are for the self-imaging of the laser beam; (b), (d), (f), and (h) are for the combination application.
    Fig. 4. Field distribution at the output of the SCTW. (a), (c), (e), and (g) are for the self-imaging of the laser beam; (b), (d), (f), and (h) are for the combination application.
    Field distributions at the output of the SCTW for different taper angles. (a), (c) Amplitude distribution and (b), (d) Phase distribution.
    Fig. 5. Field distributions at the output of the SCTW for different taper angles. (a), (c) Amplitude distribution and (b), (d) Phase distribution.
    3×3 fiber laser array.
    Fig. 6. 3×3 fiber laser array.
    Transverse intensity distribution of 3×3 fiber lasers.
    Fig. 7. Transverse intensity distribution of 3×3 fiber lasers.
    Transverse intensity distribution of 3×3 fiber lasers.
    Fig. 8. Transverse intensity distribution of 3×3 fiber lasers.
    Optimal designation of the system and the results. (a) M2 as a function of t, (b) near-field distribution for the optimum t, and (c) far-field intensity distribution for different t.
    Fig. 9. Optimal designation of the system and the results. (a) M2 as a function of t, (b) near-field distribution for the optimum t, and (c) far-field intensity distribution for different t.
    M2 as a function of t for different beam array.
    Fig. 10. M2 as a function of t for different beam array.
    Dependence on taper angle. N=2, W1=50 μm.
    Fig. 11. Dependence on taper angle. N=2, W1=50μm.
    Combining based on 2D SCWT. (a) Schematic diagram of a 2D tapered waveguide, (b) intensity distribution of input laser beams, and (c) intensity distribution of output laser beams.
    Fig. 12. Combining based on 2D SCWT. (a) Schematic diagram of a 2D tapered waveguide, (b) intensity distribution of input laser beams, and (c) intensity distribution of output laser beams.
    W1(μm)505050505050
    tanθ0.050.0250.00690.00340.00170
    Analytical results L2(μm)394.6649.51219.81469.21631.21833.5
    Simulation results L2(μm)395649.81220.21469.61631.61833.8
    Table 1. Parameters of the Tapered Waveguide
     123456789
    Relative phase0π/30π/32π/3π/30π/30
    PositionW1/3, W1/30, W1/3W1/3, W1/3W1/3, 00, 0W1/3,0W1/3, W1/30, W1/3W1/3, W1/3
    Table 2. Parameters for Setting of 3×3 Fiber Laser Array
     1234
    W1(μm)50505050
    tanθ0.01030.01210.01380.0155
    Analytical results L3(μm)814.5769.6731.6697.1
    Simulation results L3(μm)815770.2732.5698.5
    Table 3. Parameters of the Square-Cross Tapered Waveguide
     W1(μm)W2(μm)L3(μm)Ipeak(a.u.)η (%) (h=2μm)
    Tapered waveguides50338141.3485.19
    Nontapered waveguides33335400.8986.07
    Table 4. Results of Two Kinds of CBC Systems
    Rumao Tao, Xiaolin Wang, Hu Xiao, Pu Zhou, Lei Si. Coherent beam combination of fiber lasers with a strongly confined tapered self-imaging waveguide: theoretical modeling and simulation[J]. Photonics Research, 2013, 1(4): 186
    Download Citation