Optical field manipulation,an emerging frontier in photonics,demonstrates significant potential in biomedical microscopy,quantum state engineering,and micro-nano fabrication.To address the critical limitations of curr...Optical field manipulation,an emerging frontier in photonics,demonstrates significant potential in biomedical microscopy,quantum state engineering,and micro-nano fabrication.To address the critical limitations of current optical modulation technologies in achieving full-parameter precision control,we proposed a novel approach for dynamic azimuthal optical field modulation based on dual-spiral arrays.By designing spatially interleaved spiral structures with different initial radii while maintaining identical periodic parameters,we achieved continuous optical modulation spanning the full 0-2πrange in azimuthal field distribution.Through rigorous numerical simulations,we systematically established a quantitative correlation between the structural parameters and azimuthal optical field patterns,revealing,for the first time,a quasi-linear relationship between the radius difference and the resultant optical distribution.This theoretical framework advances our fundamental understanding of structured optical field manipulation as well as provides a new paradigm for programmable photonic device design,with distinct technical advantages in super-resolution imaging and optical tweezer systems.展开更多
多粒度模糊粗糙集(multi-granulation fuzzy rough set,MGFRS)是一种重要的粗糙集模型。乐观多粒度模糊粗糙集和悲观多粒度模糊粗糙集分别给出了被描述对象的两种极端描述。从数据聚合角度看,将不同粒度值合并为单一粒度值时,乐观MGFRS...多粒度模糊粗糙集(multi-granulation fuzzy rough set,MGFRS)是一种重要的粗糙集模型。乐观多粒度模糊粗糙集和悲观多粒度模糊粗糙集分别给出了被描述对象的两种极端描述。从数据聚合角度看,将不同粒度值合并为单一粒度值时,乐观MGFRS采用的是取小算子,悲观MGFRS采用的是取大算子。将取小与取大算子拓展为一般的平均型聚合算子,提出了一种新的多粒度模糊粗糙集模型:基于平均型聚合函数的多粒度模糊粗糙集(multi-granulation fuzzy rough set model on the base of average aggregate function,MFA)模型。研究了MFA模型的基本性质,给出了MFA模型与乐观和悲观多粒度模糊粗糙集的关系。同时,基于MFA模型,提出了基于平均型聚合算子的粗糙近似集模型。展开更多
文摘Optical field manipulation,an emerging frontier in photonics,demonstrates significant potential in biomedical microscopy,quantum state engineering,and micro-nano fabrication.To address the critical limitations of current optical modulation technologies in achieving full-parameter precision control,we proposed a novel approach for dynamic azimuthal optical field modulation based on dual-spiral arrays.By designing spatially interleaved spiral structures with different initial radii while maintaining identical periodic parameters,we achieved continuous optical modulation spanning the full 0-2πrange in azimuthal field distribution.Through rigorous numerical simulations,we systematically established a quantitative correlation between the structural parameters and azimuthal optical field patterns,revealing,for the first time,a quasi-linear relationship between the radius difference and the resultant optical distribution.This theoretical framework advances our fundamental understanding of structured optical field manipulation as well as provides a new paradigm for programmable photonic device design,with distinct technical advantages in super-resolution imaging and optical tweezer systems.
文摘多粒度模糊粗糙集(multi-granulation fuzzy rough set,MGFRS)是一种重要的粗糙集模型。乐观多粒度模糊粗糙集和悲观多粒度模糊粗糙集分别给出了被描述对象的两种极端描述。从数据聚合角度看,将不同粒度值合并为单一粒度值时,乐观MGFRS采用的是取小算子,悲观MGFRS采用的是取大算子。将取小与取大算子拓展为一般的平均型聚合算子,提出了一种新的多粒度模糊粗糙集模型:基于平均型聚合函数的多粒度模糊粗糙集(multi-granulation fuzzy rough set model on the base of average aggregate function,MFA)模型。研究了MFA模型的基本性质,给出了MFA模型与乐观和悲观多粒度模糊粗糙集的关系。同时,基于MFA模型,提出了基于平均型聚合算子的粗糙近似集模型。
