Radar echo extrapolation is critical in short-term weather forecasting.To enhance the accuracy and adaptability of radar echo prediction,this paper proposes a novel method that integrates a linear variable convolution...Radar echo extrapolation is critical in short-term weather forecasting.To enhance the accuracy and adaptability of radar echo prediction,this paper proposes a novel method that integrates a linear variable convolution(LVC)module and a cross-attention(CA)mechanism into the spatiotemporal long short-term memory(ST-LSTM)framework,named LVC-LSTM.The LVC module enables dynamic adjustment of the convolutional sampling shape,allowing the network to capture the irregular and evolving structures of radar echoes more accurately,thereby offering improved flexibility and representation capability compared with traditional and deformable convolutions.The CA mechanism introduces a pyr-amid-based CA structure that incorporates cross-scale embeddings and hierarchical attention blocks,effectively capturing multi-scale features and long-and short-range spatial dependencies inherent in radar echo dynamics.Experimental results using a real-world radar echo dataset demonstrated that the LVC-LSTM model outperformed comparative models across multiple evaluation metrics,including the critical success index,heidke skill score,root mean square error,mean absolute error,and structural similarity index,indicating its strong potential for operational radar echo extrapolation.展开更多
The piecewise linear recursive convolution (PLRC) finite-different time-domain (FDTD) method improves accuracy over the original recursive convolution (RC) FDTD approach and current density convolution (JEC) b...The piecewise linear recursive convolution (PLRC) finite-different time-domain (FDTD) method improves accuracy over the original recursive convolution (RC) FDTD approach and current density convolution (JEC) but retains their advantages in speed and efficiency. This paper describes a revised piecewise linear recursive convolution PLRC-FDTD formulation for magnetized plasma which incorporates both anisotropy and frequency dispersion at the same time, enabling the transient analysis of magnetized plasma media. The technique is illustrated by numerical simulations of the reflection and transmission coefficients through a magnetized plasma layer. The results show that the revised PLRC-FDTD method has improved the accuracy over the original RC FDTD method and JEC FDTD method.展开更多
The piecewise linear recursive convolution (PLRC) finite-different time-domain (FDTD) method greatly improves accuracy over the original recursive convolution (RC) FDTD approach but retains its speed and efficie...The piecewise linear recursive convolution (PLRC) finite-different time-domain (FDTD) method greatly improves accuracy over the original recursive convolution (RC) FDTD approach but retains its speed and efficiency advantages. A PLRC-FDTD formulation for magnetized plasma which incorporates both anisotropy and frequency dispersion at the same time is presented, enabled the transient analysis of magnetized plasma media. The technique is illustrated by numerical simulations the reflection and transmission coefficients through a magnetized plasma layer. The results show that the PLRC-FDTD method has significantly improved the accuracy over the original RC method.展开更多
In the light of some assumptions that are very close to the practical working conditions,a very complicated polishing process of optical element can be simplified as a linear and shift invariant system that is relatd ...In the light of some assumptions that are very close to the practical working conditions,a very complicated polishing process of optical element can be simplified as a linear and shift invariant system that is relatd only to the speed,pres- sure and time of processing.In polishing,the removed material can be represented and entreated by the convolution of the removal function of polishing head and the dwell function.The properties of removal function are presented.The assumptions and methods given by the author have been shown to be correct and applicable by experiments using a ring lap to polish the optical surfac.展开更多
By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matc...By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matched layer(CFS-NPML)is proposed to terminate the left-handed material(LHM)domain.The proposed scheme takes advantages of CFSNPML formulation,the higher order concept PLRC method and the unconditionally stable CNDG algorithm in terms of absorbing performance,computational efficiency,calculation accuracy and convenient implementation.A numerical example is carried out to demonstrate the effectiveness and efficiency of the proposed scheme.The results indicate that the proposed scheme can not only have considerable absorbing performance but also maintain the unconditional stability of the algorithm with the enlargement of time steps.展开更多
基金China Meteorological Administration Youth Innovation Team(CMA2023QN10)Sichuan Science and Technology Program(2025YFNH0006)+1 种基金Fengyun Application Pioneering Project(FY-APP)Key Laboratory of South China Sea Meteorological Disaster Prevention and Mitigation of Hainan Province(SCSF201804,419QN330)。
摘要Radar echo extrapolation is critical in short-term weather forecasting.To enhance the accuracy and adaptability of radar echo prediction,this paper proposes a novel method that integrates a linear variable convolution(LVC)module and a cross-attention(CA)mechanism into the spatiotemporal long short-term memory(ST-LSTM)framework,named LVC-LSTM.The LVC module enables dynamic adjustment of the convolutional sampling shape,allowing the network to capture the irregular and evolving structures of radar echoes more accurately,thereby offering improved flexibility and representation capability compared with traditional and deformable convolutions.The CA mechanism introduces a pyr-amid-based CA structure that incorporates cross-scale embeddings and hierarchical attention blocks,effectively capturing multi-scale features and long-and short-range spatial dependencies inherent in radar echo dynamics.Experimental results using a real-world radar echo dataset demonstrated that the LVC-LSTM model outperformed comparative models across multiple evaluation metrics,including the critical success index,heidke skill score,root mean square error,mean absolute error,and structural similarity index,indicating its strong potential for operational radar echo extrapolation.
基金National Natural Science Foundation of China (No. 60471002) and the Natural Science Foundation ofJiangxi Province (No. 0412014)
摘要The piecewise linear recursive convolution (PLRC) finite-different time-domain (FDTD) method improves accuracy over the original recursive convolution (RC) FDTD approach and current density convolution (JEC) but retains their advantages in speed and efficiency. This paper describes a revised piecewise linear recursive convolution PLRC-FDTD formulation for magnetized plasma which incorporates both anisotropy and frequency dispersion at the same time, enabling the transient analysis of magnetized plasma media. The technique is illustrated by numerical simulations of the reflection and transmission coefficients through a magnetized plasma layer. The results show that the revised PLRC-FDTD method has improved the accuracy over the original RC FDTD method and JEC FDTD method.
基金The project was supported by the National Natural Science Foundation of China (60471002) and the Jiangxi ProvincialNatural Science Foundation (0412014)
摘要The piecewise linear recursive convolution (PLRC) finite-different time-domain (FDTD) method greatly improves accuracy over the original recursive convolution (RC) FDTD approach but retains its speed and efficiency advantages. A PLRC-FDTD formulation for magnetized plasma which incorporates both anisotropy and frequency dispersion at the same time is presented, enabled the transient analysis of magnetized plasma media. The technique is illustrated by numerical simulations the reflection and transmission coefficients through a magnetized plasma layer. The results show that the PLRC-FDTD method has significantly improved the accuracy over the original RC method.
摘要In the light of some assumptions that are very close to the practical working conditions,a very complicated polishing process of optical element can be simplified as a linear and shift invariant system that is relatd only to the speed,pres- sure and time of processing.In polishing,the removed material can be represented and entreated by the convolution of the removal function of polishing head and the dwell function.The properties of removal function are presented.The assumptions and methods given by the author have been shown to be correct and applicable by experiments using a ring lap to polish the optical surfac.
摘要By incorporating the higher order concept,the piecewise linear recursive convolution(PLRC)method and CrankNicolson Douglas-Gunn(CNDG)algorithm,the unconditionally stable complex frequency shifted nearly perfectly matched layer(CFS-NPML)is proposed to terminate the left-handed material(LHM)domain.The proposed scheme takes advantages of CFSNPML formulation,the higher order concept PLRC method and the unconditionally stable CNDG algorithm in terms of absorbing performance,computational efficiency,calculation accuracy and convenient implementation.A numerical example is carried out to demonstrate the effectiveness and efficiency of the proposed scheme.The results indicate that the proposed scheme can not only have considerable absorbing performance but also maintain the unconditional stability of the algorithm with the enlargement of time steps.