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Timestamp: 2019-04-23 19:03:54+00:00

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Numerical simulations of the onset phase of continuous wave supercontinuum generation from modulation instability show that the structure of the field as it develops can be interpreted in terms of the properties of Akhmediev Breathers. Numerical and analytical results are compared with experimental measurements of spectral broadening in photonic crystal fiber using nanosecond pulses.
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Fig. 1 Grayscale plots show simulated spectral and temporal evolution for a = 0.25; fmod = 289.12 GHz and with modulation amplitudes αmod as shown. Arrows and labels indicate the point of maximum temporal compression during the first growth-return cycle. Graphs A, B, C below compare simulation results (circles) with analytic results describing the maximally-compressed AB sub-pulses (lines) from Eq. (3).
Fig. 2 Grayscale plots show simulated spectral and temporal evolution for fixed α mod = 0.01 but varying modulation parameters (a and thus f mod) as shown. Arrows and labels indicate the point of maximum temporal compression during the first growth-return cycle. Graphs A, B, C below compare simulation results (circles) with analytic results describing the maximally-compressed AB sub-pulses (lines) from Eq. (3).
Fig. 3 Experimental (left) and simulation (right) results for 1 ns pulses at 1064 nm injected into highly nonlinear PCF at peak powers as shown. Simulation results are averaged and convolved with a spectral resolution function matching the bandwidth of the spectrum analyzer used in the experiments (0.1 nm for 26 W results; 0.4 nm for 43 W results; 1.6 nm for 98 W results).
Fig. 4 Single shot NLSE simulations for a CW field undergoing spontaneous MI showing: (a) temporal and (b) spectral evolution over 3.9 m. The figure also shows temporal and spectral profiles at 3.5 m. The shaded region in the temporal trace is shown in detail in the rightmost figure comparing simulations (solid line) with the AB solution calculated for a modulation frequency corresponding to peak MI gain (dashed line). The axes in the grayscale plots are normalized relative to the frequency of peak MI gain: f mod = 1.32 THz.
Fig. 5 Time and frequency domain characteristics of the ideal maximally-compressed AB. The modulation frequency fmod = 1.32 THz determines the spectral mode separation.
Fig. 6 Comparison between experiments (solid black line), numerical simulations using the full GNLSE (blue dashed line), numerical simulations using the NLSE only (red dashed line), and the calculated spectrum of the maximally-compressed AB (green lines from zero).
(3) A ( z = 0 , T ) = P 0 ( 1 − 4 a ) + 2 a cos ( ω mod T ) 2 a cos ( ω mod T ) − 1 .

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