A time series of experimental optical chaos signal with dynamic equation unknown and low SNR is obtained. The
wavelet multi-resolution decomposition algorithm is applied here to reduce the noise mixed in the experimental optical
chaos signal. The performance of the algorithm is verified by Lorenz chaos signal mixed with noise, which shows that
the SNR is increased by 10dB or so. Some parameters of the optical chaos attributes are calculated before and after
noise-reduction. It shows that the noise-reduction algorithm can improve the precision of the Lyapunov exponent
calculated with small data method, and a completely opposite wrong result can be avoided by the noise-reduction process
when computing the minimum embedding dimension with Cao method. The small data sets method is improved by Cao
method (minimum embedding dimension) and mutual information method (delay time). As the result is shown, the error
of the largest Lyapunov exponent is reduced by nearly 30%, and the largest Lyapunov exponent of the optical chaos
signal is 0.3896 obtained with this method.
In this paper, a novel design method used for the birefringent interleaver is presented, which is based on Harris systematic design theory' with some improvements in respects of the approximation of the number of crystal used and the dispersion compensation of crystal materials. In our method, as optimal designing, the required frequency response ofinterleaver as the target function is specified in first step ofcalculation, and some basic design parameters such as the number of crystals and rotation angles of each element will be automatically obtained. This design method is flexible for different crystal materials and is extensible for the consideration ofthe manufacture tolerances and the temperature compensation ofcrystal. As a design example, simulation results are presented and relative analyses are taken.
As a kind of optical comb filter, double-ring resonator formed by a 3 x 3 fiber directional coupler can be used in optical communication system. By changing the parameters such as the coupling angle of the directional coupler, physical lengths ofthe double rings, loss, and gain factors. It behaves like a device with multi-function involving multichannel band-pass and band-stop filter, laser resonator or amplifier, optical all-pass filter and so on. In this paper, characteristics of double ring resonator formed by an equal triangle 3 x 3 fiber directional coupler is numerically analyzed in detail, for the double-ring resonator with equal lengths, a minor peak appears near every main resonant peak, they change in reverse dynamically with the increase of the gain coefficient for fixed loss. For unequal lengths case, active cavity brings about clear Vemier effect, and free spectral range (FSR) is increased. At last, applications of this component in the construction of flattop interleaver and dispersion compensator in FDM system are discussed.
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