In this paper,we propose an efficient method to construct energy-minimizing B-spline curves by using discrete mask method.The linear relations between control points are firstly derived for different energy-minimizati...In this paper,we propose an efficient method to construct energy-minimizing B-spline curves by using discrete mask method.The linear relations between control points are firstly derived for different energy-minimization problems,then the construction of B-spline curve with minimal internal energy can be addressed by solving a sparse linear system.The existence and uniqueness of the solution for the linear system are also proved.Experimental results show the efficiency of the proposed approach,and its application in 1 G blending curve construction is also presented.展开更多
A 2-cm long Bragg grating with reflectivity of～99.95% in B/Ge codoped optical fiber without hydrogen loading was created by phase-mask method with a pulsed KrF excimer laser at 248 nm. DC and AC components of refract...A 2-cm long Bragg grating with reflectivity of～99.95% in B/Ge codoped optical fiber without hydrogen loading was created by phase-mask method with a pulsed KrF excimer laser at 248 nm. DC and AC components of refractive index change were analyzed by monitoring transmission spectrum evolution during the writing process of fiber Bragg grating. The relations of the evolution of center wavelength and reflectivity with number of pulses were respectively investigated.展开更多
基金Thanks for the reviewers’comments to improve the paper.This research was supported by the National Nature Science Foundation of China under Grant Nos.61772163,61761136010,61472111,Zhejiang Provincial Natural Science Foundation of China under Grant Nos.LR16F020003,LQ16F020005.
文摘In this paper,we propose an efficient method to construct energy-minimizing B-spline curves by using discrete mask method.The linear relations between control points are firstly derived for different energy-minimization problems,then the construction of B-spline curve with minimal internal energy can be addressed by solving a sparse linear system.The existence and uniqueness of the solution for the linear system are also proved.Experimental results show the efficiency of the proposed approach,and its application in 1 G blending curve construction is also presented.
基金National Basic Research Program of China (2003CB314906)
文摘A 2-cm long Bragg grating with reflectivity of～99.95% in B/Ge codoped optical fiber without hydrogen loading was created by phase-mask method with a pulsed KrF excimer laser at 248 nm. DC and AC components of refractive index change were analyzed by monitoring transmission spectrum evolution during the writing process of fiber Bragg grating. The relations of the evolution of center wavelength and reflectivity with number of pulses were respectively investigated.
