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Journals / Türk Mühendislik Araştırma ve Eğitimi Dergisi / 2023 / Cilt: 2 Sayı: 2

Numerically Stable Algorithms and Their Comparisons of Boundary and Null-Field Integral Equations for Electromagnetic Wave Scattering from Multiple Dielectric Cylinders with Arbitrary Cross-Section

Keyfi Kesitli Çok Sayıda Dielektrik Silindirden Elektromanyetik Dalga Saçılımı için Sınır ve Sıfır Alan İntegral Denklemlerinin Sayısal Olarak Kararlı Çözüm Algoritmaları ve Karşılaştırılmaları

Murat Enes Hatipoğlu(GEBZE TEKNİK ÜNİVERSİTESİ)0000-0002-4224-9168
Fatih Dikmen(GEBZE TEKNİK ÜNİVERSİTESİ)0000-0003-2817-2448
Pages
73–78
Publication Date
2023-11-14
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The obtained advantages provide a basic assist in a finite precision calculation environment which lacks the representation of the necessary number of significant digits, especially during simulations with scenarios of increasing complexity of the physically intricate phenomenon.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In many engineering disciplines nowadays, especially in scattering problems from photonic crystal structures and multiple metamaterial particles, the problem of scattering waves from cylindrical structures is of great importance.
📊
Key Findings & Data:The implementation and regularization strategies leading to its efficient operation are outlined.
💡
Conclusion & Impact:The obtained advantages provide a basic assist in a finite precision calculation environment which lacks the representation of the necessary number of significant digits, especially during simulations with scenarios of increasing complexity of the physically intricate phenomenon.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:İntegral denklemler · iyi koşullu modeller · sıfır alan yaklaşımı

Abstract

In many engineering disciplines nowadays, especially in scattering problems from photonic crystal structures and multiple metamaterial particles, the problem of scattering waves from cylindrical structures is of great importance. Regarding the homogenous Helmholtz equation standing for the time-harmonic cylindrical electromagnetic waves, the boundary and regional integral equation methods used in the analysis of the arbitrary cross section multiple lossy cylindrical scatterers and their stable numerical treatment is revisited. The implementation and regularization strategies leading to its efficient operation are outlined. The process of building a physically relevant rigorous mathematical model for the considered scattering problem is exemplified with numerical results to express the gained benefits. The obtained advantages provide a basic assist in a finite precision calculation environment which lacks the representation of the necessary number of significant digits, especially during simulations with scenarios of increasing complexity of the physically intricate phenomenon.

Özet

Günümüzde birçok mühendislik disiplininde, özellikle fotonik kristal yapılardan ve çoklu meta malzeme parçacıklarından saçılma problemlerinde, silindirik yapılardan dalgaların saçılması problemi büyük önem taşımaktadır. Zaman-harmonik silindirik elektromanyetik dalgaların sağladığı homojen Helmholtz denklemi ile ilgili olarak, keyfi kesitli çoklu kayıplı silindirik saçıcıların analizinde kullanılan sınır ve bölgesel integral denklem yöntemleri ve kararlı sayısal çözümleri tekrar ele alınmaktadır. Bunların verimli çalışmasına yol açan uygulama ve düzenleme stratejileri özetlenmiştir. Ele alınan saçılma problemi için fiziksel olarak ilgili titiz bir matematiksel model oluşturma süreci, elde edilen faydaları ifade etmek için sayısal sonuçlarla örneklenmiştir. Elde edilen avantajlar, özellikle fiziksel olarak karmaşık fenomenin artan karmaşıklığına sahip senaryolarla simülasyonları sırasında, gerekli sayıda doğru haneli temsilinden yoksun olan sonlu doğruluklu hesaplama ortamında temel bir yardım aracı teşkil eder.

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Cite This Article

Hatipoğlu, M. E., Dikmen, F. (2023). Numerically Stable Algorithms and Their Comparisons of Boundary and Null-Field Integral Equations for Electromagnetic Wave Scattering from Multiple Dielectric Cylinders with Arbitrary Cross-Section. Türk Mühendislik Araştırma ve Eğitimi Dergisi, Cilt: 2 Sayı: 2, 73–78. https://ajindex.com/articles/1016101

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References (12)

  1. M.A. Butt, S.N. Khonina, N.L. Kazanskiy, “Recent advances in photonic crystal optical devices: A review,” Optics & Laser Tech., vol. 142, 107265, Oct. 2021.
  2. W.C. Chew, “Waves and Fields in Inhomogenous Media,” Wiley - IEEE Press, 1999.
  3. E. Sever, F. Dikmen, and Y. A. Tuchkin, “Superalgebraically Converging Galerkin Method for Electromagnetic Scattering by Dielectric Cylinders,” Radio Sci, vol. 52, no. 10, pp. 1282–1292, Sep. 2017.
  4. A. Ye. Poyedinchuk, Y. A. Tuchkin, and V. P. Shestopalov, “New numerical-analytical methods in diffraction theory,” Mathematical and Computer Modelling, vol. 32, no. 9, pp. 1029–1046, Nov. 2000.
  5. E. Sever, Y. A. Tuchkin, and F. Dikmen, “On a superalgebraically converging, numerically stable solving strategy for electromagnetic scattering by impedance cylinders,” Journal of Compt. Elec., vol. 17, no. 1, pp. 427-435, Oct. 2017.
  6. F. Dikmen, E. Sever, S. Vatansever, and Y. A. Tuchkin, “Well-conditioned algorithm for scattering by a few eccentrically multilayered dielectric circular cylinders,” Radio Sci., vol. 50, no. 2, pp. 99-110, Jan. 2015.
  7. M. E. Hatipoğlu, F. Dikmen, “On Regularization of the T Matrix Method for Cylindrical Objects with Arbitrary Cross Section,” in Bremen Zoom Workshop on Light Scat., 2021.
  8. M. E. Hatipoğlu, F. Dikmen, E. Sever and Y. A. Tuchkin, “FMM Accelaration of 2D Well-Conditioned T-Matrix Method for Multiple Scatterers,” in ACES, 2021, pp. 1-4.
  9. M. E. Hatipoğlu, E. Sever, F. Dikmen, Ö. Eriş and Ö. Ergül, "Well-Conditioned 2D Models of Rod Arrays for Accelerating 3D Simulations of Photonic Crystals and Plasmonic Structures,” in ACES, 2021, pp. 1-3.
  10. S. Güler et al., “Modified superformula contours optimized via genetic algorithms for fastly converging 2D solutions of EFIE,” in IEEE APSURSI, 2016, pp. 1333-1334.
  11. M. S. Hilario et al., “W -Band Complex Permittivity Measurements at High Temperature Using Free-Space Methods,” IEEE Transactions on Components, Packaging and Manufacturing Tech., vol. 9, no. 6, pp. 1011-1019, June 2019.
  12. E. Sever, Y. A. Tuchkin, and F. Dikmen, “Correction to: On a superalgebraically converging, numerically stable solving strategy for electromagnetic scattering by impedance cylinders,” Journal of Compt. Elec., vol. 21, no. 2, pp. 550, Jan. 2022.