电波科学学报2025，Vol.40Issue(4)：651-660,10.DOI:10.12265/j.cjors.2025061
矢量复射线模型及其应用研究进展
Vectorial complex ray model and its applications
摘要
Abstract
The accurate and efficient computation of three-dimensional(3D)field scattered by large objects of arbitrary shape is a fundamental problem in wave-object interaction studies and of great importance in many practical applications.However,existing numerical methods are computationally intensive and impractical for large objects,especially for large dielectric objects.The conventional ray-based methods neglect wave shape property and remain inefficient.Our vectorial complex ray model(VCRM)incorporates wavefront curvature as an intrinsic property of rays to characterize wave convergence and divergence.The wavefront equation that we derived relates the curvatures of incident,reflected,and refracted wavefronts.VCRM enables,in a ray framework,rigorous computation of amplitude and phase at any point along a ray.The diffraction effects inherently lacked in ray model can be addressed by combining the results of VCRM with physical optics.This model has been validated by comparison of fine 3D scattering patterns of ellipsoidal particles with the multilevel fast multipole algorithm,and that of real liquid jet and pendant drops with experimental results.VCRM can calculate the scattering by objects of size parameter as large as 104.Importantly,a simple application of VCRM with physical optics has clarified several longstanding queries in Airy theory of rainbow that have persisted since the 19th century.This paper provides a comprehensive review of the development of VCRM.It offers a concise and clear introduction to its underlying concepts and algorithms from a practical perspective.Through representative applications,including optical imaging,rainbow research,and 3D scattering of ultra-large objects like ellipsoids,real liquid jet,and pendant droplets,the paper illustrates its usage and computational results,and demonstrates in detail the aforementioned advantages.VCRM is applicable to wave interactions with irregular objects of any shape with smooth surface,offering promising applications in electromagnetic computation,freeform optics,computer graphics,and optical measurements in fluid mechanics.关键词
射线追踪/矢量复射线模型(VCRM)/电大尺寸/高频方法/非规则目标/彩虹理论/流体测量Key words
ray tracing/vectorial complex ray model(VCRM)/electrically large objects/high-frequency methods/non-spherical objects/theory of rainbow/measurement in fluid mechanics分类
信息技术与安全科学引用本文复制引用
任宽芳,段庆威,张策,韩香娥..矢量复射线模型及其应用研究进展[J].电波科学学报,2025,40(4):651-660,10.基金项目
国家自然科学基金(62205262) （62205262）
