In order to realize automatic-level-controlled (ALC) erbium doped fiber amplifiers (EDFAs) with both wide dynamic range and good noise performance, we propose EDFAs employing the automatic power control (APC) scheme and a variable attenuation slope compensator (VASC). The VASC consists of two asymmetrical Mach-Zehnder interferometers (MZIs) concatenated in series and thermo optic (TO) heaters are attached to the arms of each MZIs. By adjusting the electric power supplied to the TO heaters, an almost linear attenuation slope can be varied by plus minus 5 dB or more over the operational wavelength band of 30 nm. The EDFA employing the APC scheme and the VASC has exhibited a dynamic range as large as 20 dB with the output power variation as small as 0.7 dB, which is as good as that of the EDFA employing the APC scheme and a variable optical attenuator (VOA). The noise figure (NF) of the EDFA employing the VASC was degraded about 4.1 dB with increasing the input power by 20 dB, while it was degraded about 7.3 dB with increasing the input power by only 15 dB in the EDFA employing the VOA. The EDFA employing the VASC can realize the ALC operation over a wider dynamic range with reduced noise figure degradation. In the EDFA employing the VASC, the power excursion was suppressed to less than 1.1 dB, when the input signal level was changed between -23 dBm/ch and -18 dBm/ch with the rise/fall time of 8 ms.

By optimizing the structure of erbium-doped fibers, high efficiency such as a gain coefficient of 6.3dB/mW, or a slope efficiency of 92.6% have been realized with very flat wavelength dependence. Though the optimized structure has high NA, the splice loss with standard fibers can be lowered by the additional arc technique. The carbon coated fiber with a fatigue parameter over 150 guarantees the reliability, even when wounded on a small coil. In-line isolators and WDM couplers have been also developed. An amplifier module has been assembled, resulting in an output power more than +16dBm owing to the high performance of each component.

This paper deals with the synthesis of Petri nets. Partial languages adequately represent the concurrent behaviors of Petri nets. We first propose a construction problem for Petri nets, in which the objective is to synthesize a Petri net to exhibit the desired behavior specified as a partial language. We next discuss the solvability of this problem and last present the cutline of a solution technique.

In this paper, a stochastic asymptotic stabilization method is proposed for deterministic input-affine control systems, which are randomized by including Gaussian white noises in control inputs. The sufficient condition is derived for the diffusion coefficients so that there exist stochastic control Lyapunov functions for the systems. To illustrate the usefulness of the sufficient condition, the authors propose the stochastic continuous feedback law, which makes the origin of the Brockett integrator become globally asymptotically stable in probability.

Wavelength-division multiplexing (WDM) transmission systems have been intensely researched in order to increase the transmission capacity. One of the most important key devices for this use is erbium-doped fiber amplifiers (EDFAs) which feature a flattened gain, a high pumping efficiency and a low noise figure (NF), simultaneously. To fulfill these requirements, hybrid silica-based EDFAs (EDSFAs) composed of Al codoped and P/Al codoped EDSFs have been proposed so far. They are also attractive from the viewpoint of productivity, reliability, and cost-effectiveness. On the other hand, the optical bandwidth has been around 15 nm at most. In this paper, we have proposed newly designed hybrid EDSFAs for more than 25 nm optical bandwidth. The gain peak around 1. 53 µm can be suppressed through the saturation degree control in both EDSFs. The remaining obstacle is the diparound 1. 54 µm, which results in the relative gain non-uniformity of 10. 7% over the wavelength range from 1535 to 1560 nm. Owing to the glass composition optimization, the relative gain non-uniformity has been reduced to 5.8% without gain equalizers(GEQs), which is comparable to that of EDFFAs. As another solution, the hybrid EDSFA including two-stage Fabry Perot etalons as the GEQ has been proposed. In this configuration, the hybrid EDSFA has been designed to exhibit the gain profile similar to the summation of two sinusoidal curves, and the relative gain non-uniformity has been reduced to 3. 7%, which is almost equal to that of the hybrid EDFAs composed of EDSF and EDFF. Moreover, it has been demonstrated that newly developed hybrid EDSFAs exhibit a higher pumping efficiency and a lower NF than EDFFAs and hybrid EDSF/EDFFAs.

In order to realize automatic-level-controlled (ALC) erbium doped fiber amplifiers (EDFAs) with both wide dynamic range and good noise performance, we propose EDFAs employing the automatic power control (APC) scheme and a variable attenuation slope compensator (VASC). The VASC consists of two asymmetrical Mach-Zehnder interferometers (MZIs) concatenated in series and thermo optic (TO) heaters are attached to the arms of each MZIs. By adjusting the electric power supplied to the TO heaters, an almost linear attenuation slope can be varied by plus minus 5 dB or more over the operational wavelength band of 30 nm. The EDFA employing the APC scheme and the VASC has exhibited a dynamic range as large as 20 dB with the output power variation as small as 0.7 dB, which is as good as that of the EDFA employing the APC scheme and a variable optical attenuator (VOA). The noise figure (NF) of the EDFA employing the VASC was degraded about 4.1 dB with increasing the input power by 20 dB, while it was degraded about 7.3 dB with increasing the input power by only 15 dB in the EDFA employing the VOA. The EDFA employing the VASC can realize the ALC operation over a wider dynamic range with reduced noise figure degradation. In the EDFA employing the VASC, the power excursion was suppressed to less than 1.1 dB, when the input signal level was changed between -23 dBm/ch and -18 dBm/ch with the rise/fall time of 8 ms.