Author Affiliations
Abstract
1 Photonics Research Group, Department of Information Technology, Center for Nano and Biophotonics, Ghent University imec, Ghent B-9000, Belgium
2 Department of Information Technology, Internet Based Communication Networks and Services (IBCN), Ghent University iMinds, Gaston Crommenlaan 8 Bus 201, B-9050 Gent, Belgium
3 Luceda Photonics, 9200 Dendermonde, Belgium
We demonstrate the use of stochastic collocation to assess the performance of photonic devices under the effect of uncertainty. This approach combines high accuracy and efficiency in analyzing device variability with the ease of implementation of sampling-based methods. Its flexibility makes it suitable to be applied to a large range ofphotonic devices. We compare the stochastic collocation method with a Monte Carlo technique on a numerical analysis of the variability in silicon directional couplers.
Integrated optics devices Integrated optics devices Probability theory Probability theory stochastic processes stochastic processes and statistics and statistics Waveguides Waveguides Photonics Research
2016, 4(2): 02000093
Author Affiliations
Abstract
1 Institue for Solid State Physics, University of Tokyo, Kashiwanoha, Kashiwa, Chiba 277-8581, Japan
2 HiLASE Centre, Institute of Physics ASCR, v.v.i., Za Radnici 828, 25241 Dolni Brezany, Czech Republic
The group-delay dispersion of an optical fiber was measured with the time-of-flight method, using fingerprint-like characteristic spectra from a mode-locked fiber laser source. To determine the group-delay dispersion up to the fourth order, least-squares fitting was applied to the overall time waveform mapped on the time axis for the fingerprint- spectral broadband pulses through a long optical fiber. The analysis of all 4003 data points reduced statistical uncertainty, and provided second-, third-, and fourth-order dispersion with uncertainties of 0.02%, 0.4%, and 4%, respectively.
Fiber characterization Fiber characterization Dispersion Dispersion Lasers Lasers fiber fiber Probability theory Probability theory stochastic processes stochastic processes and statistics and statistics Photonics Research
2016, 4(1): 01000013
Author Affiliations
Abstract
Department of Physics, Anhui Normal University, Wuhu 241000
A new theoretical method with generality is proposed to study the statistical properties of the speckle phase. The general expression of the standard deviation of the speckle phase about the first-order statistics is derived according to the relation between the phase and the complex speckle amplitude. The statistical properties of the speckle phase have been studied in the diffraction fields with this new theoretical method.
散斑 相位统计性质 030.6140 Speckle 000.5490 Probability theory, stochastic processes, and statistics Chinese Optics Letters
2009, 7(1): 0105
Author Affiliations
Abstract
1 School of Physical and Technology, Yangtze University, Jingzhou 434023
2 State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
3 Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
Using linear approximation method, we calculate the intensity correlation time of a single-mode laser driven by both colored pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts, and analyze the influence of the net gain coefficient a0 on the statistical fluctuation of the laser system. It is found that for the case that the colored pump noise is long time correlated, the main factor influencing the statistical fluctuation of the laser system is a0, and the frequency of the modulation signal has negligible effect on the statistical fluctuation of the laser system.
000.5490 Probability theory, stochastic processes, and statistics 140.3430 Laser theory 270.2500 Fluctuations, relaxations, and noise Chinese Optics Letters
2006, 4(7): 401
Author Affiliations
Abstract
1 Department of Physics, Xiangfan University, Xiangfan 441053
2 State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
By adopting the gain-noise model of the single-mode laser in which with bias and periodical signals serve as inputs, combining with the effect of coloured pump noise, we use the linear approximation method to calculate the power spectrum and signal-to-noise ratio (SNR) of the laser intensity under the condition of pump noise and quantum noise cross-related in the form of 'delta' function. It is found that with the change of pump noise correlation time, both SNR and the output power will occur stochastic resonance (SR). If the bias signal 'alpha' is very small, changing the intensities of pump noise and quantum noise respectively does not lead to the appearance of SR in the SNR; while 'alpha' increases to a certain number, SR appears.
000.5490 probability theory stochastic processes and statistics 140.3430 laser theory 270.2500 fluctuations relaxations and noise Chinese Optics Letters
2006, 4(1): 0130
Author Affiliations
Abstract
1 School of Physics Science and Technology, Yangtze University, Jingzhou 434104
2 State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
3 Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
Using the linear approximation method, we study a single-mode laser system driven by colored pump noise and quantum noise with coupling between the real and imaginary parts when the laser is operated well above threshold. The steady state mean intensity fluctuation C(0) and signal-to-noise ratio (SNR) are calculated. It is found that there is a maximum in SNR when there is a minimum in the fluctuation of laser system if the coupling coefficient between real and imaginary parts of the quantum noise equals zero.
000.5490 probability theory stochastic processes and statistics 140.3430 laser theory 270.2500 fluctuations relaxations and noise Chinese Optics Letters
2005, 3(6): 06348
Author Affiliations
Abstract
1 School of Physics Science and Technology, Yangtze University, Jinzhou 434100
2 State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074
3 Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
The phenomenon of stochastic resonance (SR) is found in a single-mode laser system driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. When the net gain a0 changes, it is found that, 1) the shape of the curve of the signal-to-noise ratio (SNR) versus the pump noise self-correlation time \tau exhibits a changing process of multiform SR, from single-peak SR to simultaneous existence of resonances and suppressions; 2) the curve of SNR versus signal frequency \Omega experiences a complicated changing process from the monotonous descending to the simultaneous appearances of a maximum and a minimum, and finally to monotonous descending; 3) the curve of SNR versus cross-correlation coefficient between the real and imaginary parts of the quantum noise \lambda_(q) appears an acute single-peak SR. Therefore, the net gain a0 greatly influences the characteristic of SR of laser system.
000.5490 probability theory stochastic processes and statistics 140.3430 laser theory 270.2500 fluctuations relaxations and noise Chinese Optics Letters
2004, 2(6): 06331
