Author Affiliations
1Department of Electrical Engineering, Boston University, Boston, Massachusetts 02115, USA2Currently with The Rockefeller University, New York, New York 10065, USAshow less
Fig. 1. (a) Intensity profiles of the pump modes LP0,4 and LP0,5. (b) Schematic representation of intermodal parametric frequency conversion of the pump (green pulse) to the anti-Stokes (blue pulse) and Stokes (red pulse) waves along the length of the fiber. Schematic representation of (c) energy conservation and (d) phase matching for four-wave mixing. (e) Phase matching in the effective refractive index picture: solutions exist where the straight, dashed lines intersect the neff curves for different modes (solid lines), where integer “m” denotes radial mode order. (f) Parametric gain for typical intermodal processes (black line) and a group-velocity-tailored process (purple line), offset for clarity; the purple line in (e) is tangent to the neff curves for an extended wavelength range leading to broadband parametric gain.
Fig. 2. (a) Setup schematic for intermodal four-wave mixing experiments. SLM, spatial light modulator; OSA, optical spectrum analyzer. (b) Simulated electric field profiles of the LP0,4 (blue line) and LP0,5 (red line) modes plotted alongside the phase profile of a LP0,5 binary phase plate stretched by ∼12% (green line, right axis). (c) Simulations of the relative power coupled to each mode of the test fiber for a phase plate stretched by 12%. (d) Simulated group velocity for the LP0,4 and LP0,5 modes. (e) Simulated parametric gain for group-velocity-matched four-wave mixing pumped with LP0,4 and LP0,5.
Fig. 3. (a) Spontaneous four-wave mixing spectra as a function of pump wavelength; each spectrum offset by 50 dB for clarity. (b) Zoom-in of the bandwidth-optimized spontaneous spectrum (λp=1047.6 nm) with mode images inset.
Fig. 4. Full experimental spectra as a function of seed wavelength (1535–1570 nm) showing conversion to the Ti:sapphire band (786–795 nm) with representative experimental mode images shown as inset; each spectrum offset by 70 dB for clarity.
Fig. 5. Experimentally measured pump profiles for the (a) pump (pump alone shown as a solid black line; pump combined with seed shown as a dotted purple line), (b) anti-Stokes, and (c) Stokes wavelengths for a 1545 nm wavelength seed. (d) Peak pump depletion (purple markers, left axis) and peak Stokes gain (brown markers, right axis) as a function of seed wavelength. (e) Peak power (anti-Stokes shown with blue markers; Stokes shown with red markers).
Pump Modes | Pump Wavelength | Stokes Bandwidth | Anti-Stokes Bandwidth | | 1194 nm | 1519–1624 nm | 943–984 nm | | 1142 nm | 1548–1644 nm | 874–904 nm | | 1093 nm | 1533–1623 nm | 823–849 nm | a | 1048 nm | 1502–1586 nm | 779–801 nm | | 1001 nm | 1469–1552 nm | 739–759 nm |
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Table 1. Additional Simulated Broadband FWM Processes