全频分段控制下连续相位板的优化设计
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摘要
为了提高聚焦光束质量,针对高功率激光驱动器的连续相位板(CPP)进行设计,改进了传统盖斯贝格-撒克斯通(G-S)算法的设计。设计基于分步分段控制相位板频谱的目标,约束初始相位的选取,保留带有目标焦斑低频信息的初始相位信息,在迭代过程中适当控制中高频信息。实验结果表明,相对于传统随机连续初始相位,改进后CPP作用下的焦斑顶部光强方均差误差(RMS)能更快地收敛到目标阈值。改进的初始相位不仅避免了G-S算法可能产生局部最优的问题,而且也能很好地应用于非对称焦斑的设计。
We design a kind of continuous phase plate(CPP)used in high power laser driver to improve the focus beam quality.The optimal design based on controlling segmented spatial spectrum is modified from traditional G-S algorithm.The improved algorithm chooses a restrained initial phase that is related with the low frequency information of goal focal spots spatial spectrum,and the medium frequency and high frequency can be appropriately controlled in iterations.The experimental results show that the root mean square error(RMS)of the focal spot can quickly converge to the target threshold under the effect of improved CPP,which compared with that under the effect of the traditional random continuous initial phase.The improvement of initial phase not only can avoids the G-S algorithm easily produces local optimum value,but also the improved method has a good application for the design of asymmetric focal spot.
We design a kind of continuous phase plate(CPP)used in high power laser driver to improve the focus beam quality.The optimal design based on controlling segmented spatial spectrum is modified from traditional G-S algorithm.The improved algorithm chooses a restrained initial phase that is related with the low frequency information of goal focal spots spatial spectrum,and the medium frequency and high frequency can be appropriately controlled in iterations.The experimental results show that the root mean square error(RMS)of the focal spot can quickly converge to the target threshold under the effect of improved CPP,which compared with that under the effect of the traditional random continuous initial phase.The improvement of initial phase not only can avoids the G-S algorithm easily produces local optimum value,but also the improved method has a good application for the design of asymmetric focal spot.
引文
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[12]Li P,Ma C,Su J Q,et al.Design of continuous phase plates for controlling spatial spectrum of focal spot[J].High Power Laser and Particle Beams,2008,20(7):1114-1118.李平,马驰,粟敬钦,等.基于焦斑空间频谱控制的连续相位板设计[J].强激光与粒子束,2008,20(7):1114-1118.
[13]Gerchberg R W,Saxton W O.Phase determination from image and diffraction plane pictures in the electron-microscope[J].Optik,1971,34(3):275-286.
[14]Tan Q F,Yan Y B,Jin G F,et al.Continuousphase diffractive optical element to realize uniform target illumination in inertial confinement fusion(ICF)[J].Proceedings of SPIE,1999,3740:424-427.
[15]Zhang R,Li P,Su J Q,et al.Experimental research of target uniform illumination using smoothing by spectral dispersion and continuous phase plate[J].Acta Physica Sinica,2012,61(5):054204.张锐,李平,粟敬钦,等.采用光谱色散平滑和连续相位板实现靶面均匀辐照的实验研究[J].物理学报,2012,61(5):054204.
[16]Wen S L,Tang C X,Zhang Y H,et al.Effects of least spatial period on the fabrication and performance of continuous phase plate[J].Chinese Journal of Lasers,2015,42(9):0908001.温圣林,唐才学,张远航,等.最小空间周期对连续相位板加工和性能的影响[J].中国激光,2015,42(9):0908001.
[17]Wen S L,Yang C L,Zhou L S,et al.Design of the continuous phase plates for beam smoothing[J].Laser Technology,2009,33(1):91-93.温圣林,杨春林,周礼书,等.用于光束匀滑的连续相位板设计[J].激光技术,2009,33(1):91-93.
[2]Wen S L,Hou J,Yang C L,et al.Uniformity of near-field caused by continuous phase plates for beam smoothing[J].High Power Laser and Particle Beams,2011,23(6):1543-1547.温圣林,侯晶,杨春林,等.用于光束匀滑的连续相位板近场均匀性[J].强激光与粒子束,2011,23(6):1543-1547.
[3]Wegner P J,Auerbach J M,Biesiada T,Jr,et al.NIF final optics system:frequency conversion and beam conditioning[J].Proceedings of SPIE 2004,5341:180-189.
[4]Lin Y,Kessler T J,Lawrence G N.Design of continuous surface-relief phase plates by surfacebased simulated annealing to achieve control of focalplane irradiance[J].Optics Letters,1996,21(20):1703-1705.
[5]Gerchberg R W,Saxton W O.A practical algorithm for determination of phase from image and diffraction plane pictures[J].Optik,1972,35(2):237-246.
[6]Yang G Z,Gu B Y.On the amplitude-phase retrieval problem in the optical system[J].Acta Physica Sinica,1981,30(3):410-413.
[7]Kirkpatrick S,Gelatt C D,Jr,Vecchi M P.Optimization by simulated annealing[J].Science,1983,220(4598):671-680.
[8]Prügel-bennett A,Shapiro J L.Analysis of genetic algorithms using statistical mechanics[J].Physical Review Letters,1994,72(9):1305-1309.
[9]Feng D,Tan Q F,Yan Y B,et al.A new hybrid algorithm for designing the continuous phase screen used for beam shaping[J].Proceedings of SPIE,2001,4443:16-23.
[10]Marozas J A.Fourier transform-based continuous phase-plate design technique:a high-pass phase-plate design as an application for OMEGA and the National Ignition Facility[J].Journal of the Optical Society of America A-Optics Image Science and Vision,2007,24(1):74-83.
[11]Wen S L,Xu Q,Ma P,et al.Process-based design of continuous phase plates[J].Acta Optica Sinica,2009,29(11):3179-3182.温圣林,许乔,马平,等.基于工艺的连续相位板设计[J].光学学报,2009,29(11):3179-3182.
[12]Li P,Ma C,Su J Q,et al.Design of continuous phase plates for controlling spatial spectrum of focal spot[J].High Power Laser and Particle Beams,2008,20(7):1114-1118.李平,马驰,粟敬钦,等.基于焦斑空间频谱控制的连续相位板设计[J].强激光与粒子束,2008,20(7):1114-1118.
[13]Gerchberg R W,Saxton W O.Phase determination from image and diffraction plane pictures in the electron-microscope[J].Optik,1971,34(3):275-286.
[14]Tan Q F,Yan Y B,Jin G F,et al.Continuousphase diffractive optical element to realize uniform target illumination in inertial confinement fusion(ICF)[J].Proceedings of SPIE,1999,3740:424-427.
[15]Zhang R,Li P,Su J Q,et al.Experimental research of target uniform illumination using smoothing by spectral dispersion and continuous phase plate[J].Acta Physica Sinica,2012,61(5):054204.张锐,李平,粟敬钦,等.采用光谱色散平滑和连续相位板实现靶面均匀辐照的实验研究[J].物理学报,2012,61(5):054204.
[16]Wen S L,Tang C X,Zhang Y H,et al.Effects of least spatial period on the fabrication and performance of continuous phase plate[J].Chinese Journal of Lasers,2015,42(9):0908001.温圣林,唐才学,张远航,等.最小空间周期对连续相位板加工和性能的影响[J].中国激光,2015,42(9):0908001.
[17]Wen S L,Yang C L,Zhou L S,et al.Design of the continuous phase plates for beam smoothing[J].Laser Technology,2009,33(1):91-93.温圣林,杨春林,周礼书,等.用于光束匀滑的连续相位板设计[J].激光技术,2009,33(1):91-93.