A study of FDTD solutions on variable and subgridded meshes

• Autorzy: Rudnicki J. , Celuch-Marcysiak M.
• Konferencja: 15th International Conference on Microwaves, Radar and Wireless Communications MIKON'04. Warsaw, 17-19.05, 2004
• Języki publikacji: EN

Abstrakty

EN

Numerical artifacts caused by 1D and 2D mesh refinements in the FDTD method are investigated. The effect of numerical reflections previously known from simulation practice is mathematically confirmed. It is shown that the magnitude of reflections can be accurately predicted by combining the numerical dispersion relations in the two mesh subregions with the electric field continuity condition at the interface. To this end, numerical emulation of Snell's law and non-orthogonality of the numerical field and propagation vectors are addressed. The theory is validated for the 2D TE modes at normal and oblique incidence.

Słowa kluczowe

EN

FDTD method

• Wydawca: Wydawnictwo Naukowe PWN SA
• Czasopismo: Kwartalnik Elektroniki i Telekomunikacji
• Rocznik: 2004
• Tom: Vol. 50, z. 4
• Strony: 663--674
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Rudnicki J.

• Instytut Radioelektroniki Politechniki Warszawskiej, 00-665 Warszawa, ul Nowowiejska 15/19, Polska

autor

Celuch-Marcysiak M.

• Instytut Radioelektroniki Politechniki Warszawskiej, 00-665 Warszawa, ul Nowowiejska 15/19, Polska

Bibliografia

• 1. M. Okoniewski, E. Okoniewska, M. A. Stuchly, "Three-dimensional subgridding algorithm for FDTD" IEEE Trans. Antennas Propag., vol. 45. No. 3, March 1997, pp. 422-428.
• 2. L. Kulas, M. Mrozowski, "A simple high-accuracy subgridding scheme", 33rd European Microwave Conf. Proc., Munich, Germany, October 2003, pp. 347-350.
• 3. S. Wang, F. L. Teixeira, R. Lee, J.-F. Lee, "Optimization of subgridding schemes for FDTD" Microwave and Wireless Components Lett., vol. 12, No. 6, June 2002, pp. 223-225.
• 4. M. Celuch-Marcysiak,"Evaluation and enhancement of supraconvergence effects on nonuniform and conformal FDTD meshes", 2001 IEEE MTT-S IMS Dig., Phoenix, May 2001, pp. 745-748.
• 5. M. Celuch-Marcysiak, W. K. Gwarek, "On the nature of solutions produced by fin ite difference schemes in time domain", Int. J. Numer. Model., vol. 12, No. 1/2, Jan.-April 1999. pp. 23-40.
• 6. M. Celuch-Marcysiak, W. K. Gwarek, "Wide-band S-parameter extraction from FDTD simulations for propagating and evanescent modes in inhomogeneous guides", IEEE Trans. Microwave Theory Tech., vol. 51, No. 8, Aug. 2003, pp. 1920-1928.
• 7. S. S. Zivanovic. K. S. Yee. K. K. Mei, "A subgridding method for the time-domain finite-difference method to solve Maxwell's equations", IEEE Trans. Microwave Theory Tech. vol. 39 No 3 March 1991, pp. 471-479.
• 8. K. M. Krishnaiah, C. J. Railton, "A stable subgridding algorithm and its application to eigenvalue problems” IEEE Trans. Microwave Theory Tech. vol. 47, No. 5, May 1999, pp. 620-628.
• 9. M. J. White, Z. Yun, M. F. Iskander. “A new 3-D FDTD multigrid technique with dielectric transvers capabilities”, IEEE Trans. Microwave Theory Tech. vol. 49, No. 3,March 2001, pp. 422-430.