Development of the Spherical First Order Polarization Tensor Calculator
DOI:
https://doi.org/10.24191/jcrinn.v11i1.574Keywords:
Graphical User Interface (GUI), First Order Polarization Tensor, Radius, SphereAbstract
The polarization tensor is implemented in some applications especially in science and engineering to identify or characterize objects. An object can be represented as its polarization tensor, and an ellipsoid can have the same polarization tensor as the object. Thus, investigating an ellipsoid with its respective polarization tensor might provide additional information about the real object. Motivated by this research, this study aims to develop a standalone application using graphical user interface (GUI) in MATLAB, called the Spherical First Order Polarization Tensor Calculator to enhance computation efficiency related to the first order PT for sphere. This application consists of three main features, which are to calculate the first order PT for sphere, to determine the sphere’s radius, and to illustrate the sphere in a three-dimension graph. A brief demonstration of each function is provided and the application’s reliability is also validated. The findings suggest a quicker approach for computing the first order PT related to sphere, which can serve as a reference for other researchers in related area.
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Ammari, H., & Kang, H. (2007). Polarization and moment tensors: With applications to inverse problems and effective medium theory. Applied Mathematical Sciences. https://doi.org/10.1007/978-0-387-71566-7
Capdeboscq, Y., Karrman, A. B., & Nédélec, J. C. (2012). Numerical computation of approximate generalized polarization tensors. Applicable Analysis, 91(6), 1189-1203. https://doi.org/10.1080/00036811.2011.641175
Dekdouk, B., Marsh, L. A., Armitage, D. W., & Peyton, A. J. (2014). Estimating magnetic polarizability tensor of buried metallic targets for land mine clearance. In Ultra-Wideband, Short-Pulse Electromagnetics (pp. 425-432). https://doi.org/10.1007/978-1-4614-9500-0_38
Khairuddin, T. K. A. (2016). Characterization of Objects by Fitting the Polarization Tensor. http://eprints.ma.man.ac.uk/2514/
Khairuddin, T. K. A., & Lionheart, W. R. B. (2013). Some properties of the first order polarization tensor for 3-D domains. Matematika, 29, 1-18. https://research.manchester.ac.uk/en/publications/011ae983-8b19-46de-9c2f-4dec3879f064
Khairuddin, T. K. A., Yunos, N. M., Aziz, Z. A., Ahmad, T., & Lionheart, W. R. B. (2017). Classification of materials for conducting spheroids based on the first order polarization tensor. Journal of Physics: Conference Series, 890, 012035. https://doi.org/10.1088/1742-6596/890/1/012035
Lu, M., Zhao, Q., Hu, P., Yin, W., & Peyton, A. J. (2015). Prediction of the asymptotical magnetic polarization tensors for cylindrical samples using the boundary element method. In IEEE Sensors Applications Symposium, SAS (pp. 1-4). IEEE. https://doi.org/10.1109/SAS.2015.7133631
Marsh, L. A., Ktistis, C., Järvi, A., Armitage, D. W., & Peyton, A. J. (2013). Three-dimensional object location and inversion of the magnetic polarizability tensor at a single frequency using a walk-through metal detector. Measurement Science and Technology, 24(4), 045102. https://doi.org/10.1088/0957-0233/24/4/045102
Milton, G. W. (2002). The theory of composites. In Cambridge University Press eBooks. https://doi.org/10.1017/CBO9780511613357
Sukri, S. A., Hoe, Y. S., & Khairuddin, T. K. A. (2020). Quadratic element integration of approximated first order polarization tensor for sphere. Malaysian Journal of Fundamental and Applied Sciences, 16(5), 560-565. https://doi.org/10.11113/mjfas.v16n5.1916
Sukri, S. A., Hoe, Y. S., & Khairuddin, T. K. A. (2021). Study of different order of gaussian quadrature using linear element interpolation in first order polarization tensor. Malaysian Journal of Fundamental and Applied Sciences, 17(4), 343-353. https://doi.org/10.11113/mjfas.v17n4.2051
Sukri, S. A., Yeak, S. H., & Khairuddin, T. K. A. (2025). A comparative study of first order polarization in spherical structures: Exploring numerical approaches. Warisan Journal of Mathematical Sciences and Engineering, 1(1), 48-59. https://doi.org/10.37934/wjmse.1.1.4859
Williams, K. C., Davidson, J. L., O’Toole, M. D., & Peyton, A. J. (2024). Discrimination of disposable vapes from batteries using the magnetic polarizability tensor. IEEE Sensors Journal, 24(9), 15347-15354. https://doi.org/10.1109/JSEN.2024.3381716
Yunos, N. M., & Khairuddin, T. K. A. (2017). Adapting depolarization factors in the first order polarization tensor for spheroid. In Final Year Project Proceeding, Department of Mathematical Sciences, UTM JB, (pp. 383-390).
Yunos, N. M., Khairuddin, T. K. A., Ali, N. M. M., & Sukri, S. A. (2024). Spheroidal first order polarization tensor (SFOPT) toolkit. Semarak International Journal of Fundamental and Applied Mathematics, 1(1), 24-37. https://doi.org/10.37934/sijfam.1.1.2437
Yunos, N. M., Khairuddin, T. K. A., Sukri, S. A., & Jamil, N. A. (2023). Spheroidal first order polarization tensor calculator (SFOPT). In Johor Innovation Invention Competition and Symposium 2023, JIICaS 2023 (pp. 308–311).
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Copyright (c) 2026 Nur Izzati Abdul Rahman, Nurhazirah Mohamad Yunos, Taufiq Khairi Ahmad Khairuddin (Author)

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