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Creeping Ray Tracing Algorithm for Arbitrary NURBS Surfaces Based on Adaptive Variable Step Euler Method
Joint Authors
Zhang, Yunhua
Fu, Song
Chen, Xi
He, Siyuan
Zhu, Guoqiang
Source
International Journal of Antennas and Propagation
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Although the uniform theory of diffraction (UTD) could be theoretically applied to arbitrarilyshaped convex objects modeled by nonuniform rational B-splines (NURBS), one of the great challenges in calculation of the UTD surface diffracted fields is the difficulty in determining the geodesic paths along which the creeping waves propagate on arbitrarilyshaped NURBS surfaces.
In differential geometry, geodesic paths satisfy geodesic differential equation (GDE).
Hence, in this paper, a general and efficient adaptive variable step Euler method is introduced for solving the GDE on arbitrarilyshaped NURBS surfaces.
In contrast with conventional Euler method, the proposed method employs a shape factor (SF) ξ to efficiently enhance the accuracy of tracing and extends the application of UTD for practical engineering.
The validity and usefulness of the algorithm can be verified by the numerical results.
American Psychological Association (APA)
Fu, Song& Zhang, Yunhua& He, Siyuan& Chen, Xi& Zhu, Guoqiang. 2015. Creeping Ray Tracing Algorithm for Arbitrary NURBS Surfaces Based on Adaptive Variable Step Euler Method. International Journal of Antennas and Propagation،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1065129
Modern Language Association (MLA)
Fu, Song…[et al.]. Creeping Ray Tracing Algorithm for Arbitrary NURBS Surfaces Based on Adaptive Variable Step Euler Method. International Journal of Antennas and Propagation No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1065129
American Medical Association (AMA)
Fu, Song& Zhang, Yunhua& He, Siyuan& Chen, Xi& Zhu, Guoqiang. Creeping Ray Tracing Algorithm for Arbitrary NURBS Surfaces Based on Adaptive Variable Step Euler Method. International Journal of Antennas and Propagation. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1065129
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065129