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Keywords = multiple shooting shadowing

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14 pages, 3470 KB  
Article
A Novel Triangular Ray Tube Tracing (TRTT) Approach for High-Frequency Radar Cross-Section (RCS) Computation
by Merve Güvenç, Fatih Dikmen and Ahmet Arif Ergin
Electronics 2025, 14(22), 4438; https://doi.org/10.3390/electronics14224438 - 14 Nov 2025
Cited by 1 | Viewed by 1155
Abstract
Electromagnetic scattering analysis is inherently complex and plays a crucial role in both civilian and military applications. A primary objective in analyzing scattering problems is to achieve accurate results while minimizing computational cost. In this study, a novel high-frequency technique, called Triangular Ray [...] Read more.
Electromagnetic scattering analysis is inherently complex and plays a crucial role in both civilian and military applications. A primary objective in analyzing scattering problems is to achieve accurate results while minimizing computational cost. In this study, a novel high-frequency technique, called Triangular Ray Tube Tracing (TRTT), is proposed for calculating the Radar Cross-Section (RCS) of electrically large objects. Unlike conventional ray-based methods, TRTT employs triangular ray tubes (TRTs) with frequency-independent resolution, which significantly reduces the computational burden while maintaining accuracy. The method also accounts for multiple reflections and shadowing effects based on the geometry of the target. To validate the approach, computational steps and results obtained using TRTT are compared in detail with the classical Shooting and Bouncing Ray (SBR) method, which requires frequency-dependent ray density. The proposed method demonstrates substantial advantages in terms of efficiency, scalability, and frequency-independence, particularly for electrically large targets. Full article
(This article belongs to the Special Issue Theory, Methods and Applications of Electromagnetic Scattering)
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19 pages, 5845 KB  
Article
Multi-Angle Detection of Spatial Differences in Tea Physiological Parameters
by Dandan Duan, Longyue Chen, Chunjiang Zhao, Fan Wang and Qiong Cao
Remote Sens. 2023, 15(4), 935; https://doi.org/10.3390/rs15040935 - 8 Feb 2023
Cited by 6 | Viewed by 2579
Abstract
Chlorophyll and nitrogen contents were used as leaf physiological parameters. Based on multispectral images from multiple detection angles and the stoichiometric data of tea (Camellia sinensis) leaves in different positions on plants, the spatial differences in tea physiological parameters were explored, [...] Read more.
Chlorophyll and nitrogen contents were used as leaf physiological parameters. Based on multispectral images from multiple detection angles and the stoichiometric data of tea (Camellia sinensis) leaves in different positions on plants, the spatial differences in tea physiological parameters were explored, and the full channel difference vegetation index was established to effectively remove soil and shadow noise. Support vector machine, random forest (RF), partial least square, and back-propagation algorithms from the multispectral images of leaf and canopy scales were then used to train the tea physiological parameter detection model. Finally, the detection effects of the multispectral images obtained from different angles on the physiological parameters of the top, middle, and bottom tea leaves were analysed and compared. The results revealed distinct spatial differences in the physiological parameters of tea leaves in individual plants. Chlorophyll content was lowest at the top and relatively high at the middle and bottom; nitrogen content was the highest at the top and relatively low at the middle and bottom. The horizontal distribution of physiological parameters was similar, i.e., the values in the east and south were high, whereas those in the west and north were low. The multispectral detection accuracy of the physiological parameters at the leaf scale was better than that at the canopy scale; the model trained by the RF algorithm had the highest comprehensive accuracy. The coefficient of determination between the predicted and measured values of the spad-502 plus instrument was (R2) = 0.79, and the root mean square error (RMSE) was 0.11. The predicted result for the nitrogen content and the measured value was R2 = 0.36 and RMSE = 0.03. The detection accuracy of the multispectral image taken at 60° for the physiological parameters of tea was generally superior to those taken at other shooting angles. These results can guide the high-precision remote sensing detection of tea physiological parameters. Full article
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16 pages, 1256 KB  
Article
Application of Generalized Polynomial Chaos for Quantification of Uncertainties of Time Averages and Their Sensitivities in Chaotic Systems
by Kyriakos Dimitrios Kantarakias and George Papadakis
Algorithms 2020, 13(4), 90; https://doi.org/10.3390/a13040090 - 13 Apr 2020
Cited by 3 | Viewed by 4502
Abstract
In this paper, we consider the effect of stochastic uncertainties on non-linear systems with chaotic behavior. More specifically, we quantify the effect of parametric uncertainties to time-averaged quantities and their sensitivities. Sampling methods for Uncertainty Quantification (UQ), such as the Monte–Carlo (MC), are [...] Read more.
In this paper, we consider the effect of stochastic uncertainties on non-linear systems with chaotic behavior. More specifically, we quantify the effect of parametric uncertainties to time-averaged quantities and their sensitivities. Sampling methods for Uncertainty Quantification (UQ), such as the Monte–Carlo (MC), are very costly, while traditional methods for sensitivity analysis, such as the adjoint, fail in chaotic systems. In this work, we employ the non-intrusive generalized Polynomial Chaos (gPC) for UQ, coupled with the Multiple-Shooting Shadowing (MSS) algorithm for sensitivity analysis of chaotic systems. It is shown that the gPC, coupled with MSS, is an appropriate method for conducting UQ in chaotic systems and produces results that match well with those from MC and Finite-Differences (FD). Full article
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