Coherent beam combination of three two-tone fiber amplifiers using stochastic parallel gradient descent algorithm

Zhang, Pu; Ma, Yanxing; Wang, Xiaolin; Ma, Haotong; Xu, Xiaojun; Liu, Zejin

doi:10.1364/ol.34.002939

Cited by 80 publications

(43 citation statements)

References 19 publications

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“…However, in multi-UAV conflict, the gradient directions of multiple pairwise conflicts are coupled. We propose to find the initial feasible solution by SPGD algorithm, which has been proven efficient in dealing with couple constrained optimization problems [25].…”

Section: ) Initial Solutionmentioning

confidence: 99%

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Two-Layer Optimization to Cooperative Conflict Detection and Resolution for UAVs

Yang

Yin

Cheng

et al. 2015

2015 IEEE 18th International Conference on Intelligent Transportation Systems

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This paper focuses on the solution for conflict detection and resolution (CDR) of unmanned aerial vehicles (UAVs) by heading control. The cooperative method is proposed. First, the relationships between conflicts involved UAVs are described by the geometric method. The practical and potential conflicts are considered. Then, the CDR problem is formalized as a nonlinear optimization problem so as to minimize maneuver costs. Moreover, a two-layer strategy composed of stochastic parallel gradient descent (SPGD) and interior-point algorithm is designed to efficiently solve the non-convex optimization problem. Finally, our approach is demonstrated on several scenarios and the simulation results show that it can achieve high performance in obtaining near optimal maneuvers for UAVs CDR.

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Section: ) Initial Solutionmentioning

confidence: 99%

“…Thus, with proper parameter design, it can overcome the limitations in converging to local optimal parameters and yield very precise results at fast speeds, even for serious correlation. The details of SPGD algorithm can be referred to in [25].…”

Section: ) Initial Solutionmentioning

confidence: 99%

Two-Layer Optimization to Cooperative Conflict Detection and Resolution for UAVs

Yang

Yin

Cheng

et al. 2015

2015 IEEE 18th International Conference on Intelligent Transportation Systems

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“…To test the precision of the DIC-FE strain measurement method, the experimental results are compared with the results obtained by the cubic spline interpolation method [15], as shown in Table 1. All of the results are the average of 20 independent experiments on the center point.…”

Section: Simulation Without Noisementioning

confidence: 99%

Investigation of Strain Measurements using Digital Image Correlation with a Finite Element Method

Zhao¹,

Zhao²

2013

Journal of the Optical Society of Korea

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This article proposes a digital image correlation (DIC) strain measurement method based on a finite element (FE) algorithm. A two-step digital image correlation is presented. In the first step, the gradientbased subpixels technique is used to search the displacements of a region of interest of the specimen, and then the strain fields are obtained by utilizing the finite element method in the second step. Both simulation and experiment processing, including tensile strain deformation, show that the proposed method can achieve nearly the same accuracy as the cubic spline interpolation method in most cases and higher accuracy in some cases, such as the simulations of uniaxial tension with and without noise. The results show that it also has a good noise-robustness. Finally, this method is used in the uniaxial tensile testing for Dahurian Larch wood specimens with or without a hole, and the obtained strain values are close to the results which were obtained from the strain gauge and the cubic spline interpolation method.

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“…Nevertheless, it should be noted here that the coupler may have different effects on the left-going fields and the right-going fields. 39 Thus, in this paper, the transfer characteristic of the S×S coupler in the mth elementary laser is represented with two matrixes, i.e., (9) corresponding to the right-going field and the left-going field, respectively. The elements α …”

Section: Theoretical Study On Phase Locking Of the Array Of Fibementioning

confidence: 99%

Theoretical study on phase locking of the array of fiber lasers coupled by bi-dimensional mutual injection

Cao

Hou

et al. 2011

AIP Advances

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In this paper, the array of fiber lasers coupled by bi-dimensional mutual injection is firstly, to our knowledge, investigated. Phase locking of the array is theoretically studied and the phase-locked states of the array are given. It is found that the array with bi-dimensional mutual injection can export the same amount of the phase-locked states as the array with one-dimensional mutual injection, which implies that the amount of phase-locked states does not depend on the dimension of mutual injection. The conditions needed for phase locking of the array are also studied. It is illuminated that, compared with the array with one-dimensional mutual injection, more conditions are needed for phase locking of the array with bi-dimensional mutual injection. Based on these results, the options for improving the performance of the array of fiber lasers coupled by mutual injection are discussed.

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Coherent beam combination of three two-tone fiber amplifiers using stochastic parallel gradient descent algorithm

Cited by 80 publications

References 19 publications

Two-Layer Optimization to Cooperative Conflict Detection and Resolution for UAVs

Two-Layer Optimization to Cooperative Conflict Detection and Resolution for UAVs

Investigation of Strain Measurements using Digital Image Correlation with a Finite Element Method

Theoretical study on phase locking of the array of fiber lasers coupled by bi-dimensional mutual injection

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