Noise Evolution in a Dispersion-Managed Soliton System
The figures on this page show the evolution of complex Fourier modes in a periodically stationary dispersion-managed soliton (DMS) system. The system was described in [1], [2]. I show the modes at f=0 (cw mode) and at f=10 GHz. I transmit a single pulse and the ASE noise coefficient is nsp=1.2, the experimental value. The soliton has a peak power of 7.9 mW and a FWHM duration of 9 ps in the middle of the anomalous span.
All figures are on the same scale.

phase_test/DMS_movie.gif Fig. 1 10-frame animation. Animated GIF movie, file size: 1.3 MB

This movie shows the evolution of the Fourier modes every ten periods of the dispersion map. The red dots show 749 noise realizations of the cw mode, and the blue dots show the same at f=10 GHz. The blob-like blue curve is a probability density contour under the assumption that the magnitude and the angles of the blue dots are independently Gaussian distributed. The radius of the green circle equals the average magnitude of the blue dots (the power of the 10 GHz tone of the noise-free soliton). The quantity r is the ratio of the angular to the radial half axis of the banana. A large value of r means that the banana wraps around the unit circle.
phase_test/DMS_noise_4.png Fig. 2 Frame 4 of the above animation at 4240 km (40 maps). PNG image, file size: 11 kB


phase_test_takeout/DMS_movie.gif Fig. 3 10-frame animation with jitter separation. Animated GIF movie, file size: 1.3 MB

Similar to Fig. 1,2, but after separation of phase and timing jitter [1]. The value of r is now close to 1. Interestingly, the jitter separation, if performed separately for multiple bit slots, tends to increase the magnitude of the cw mode, although the signal energy remains constant.
phase_test_takeout/DMS_noise_4.png Fig. 4 Frame 4 of the above animation at 4240 km (40 maps). PNG image, file size: 11 kB


[1] R. Holzlöhner, C. R. Menyuk, V. S. Grigoryan, W. L. Kath, "Accurate calculation of eye diagrams and error rates in long-haul transmission systems using linearization", J. Lightwave Techol. 20, pp. 389-400 (2002)
[2] R. Holzlöhner, C. R. Menyuk, W. L. Kath, V. S. Grigoryan, "A covariance matrix method to compute accurate bit error rates in a highly nonlinear dispersion-managed soliton system", Photon. Technol. Lett., to appear in May 2003


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Created on 12 Feb 2003, © 2003 Ronald Holzlöhner