PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 158 > pp. 7-20

HIGH ORDER EXTRACTIONS OF BROADBAND GREEN'S FUNCTION WITH LOW WAVENUMBER EXTRACTIONS FOR ARBITRARY SHAPED WAVEGUIDE

By T.-H. Liao, K.-H. Ding, and L. Tsang

Full Article PDF (1,922 KB)

Abstract:
In this paper we develop a higher order extraction method to accelerate the convergence in the computation of broadband Green's function for an arbitrary shaped waveguide. This is applied to a homogeneous waveguide of arbitrary shape. The broadband Green's function is based on modal expansion in which the modal fields are frequency independent. The higher order extraction is obtained by using three low wavenumbers for extraction. It gives a modal expansion of Broadband Green's Function with Low Wavenumber Extraction (BBGFL) with 6th order convergence requiring much fewer evanescent modes for convergence. Numerical results are illustrated for homogeneous waveguides for both lossless and lossy dielectric cases. The accuracy of results are validated with direct method of moment (MoM) and HFSS. The BBGFL method is computationally efficient for broadband simulations.

Citation:
T.-H. Liao, K.-H. Ding, and L. Tsang, "High Order Extractions of Broadband Green's Function with Low Wavenumber Extractions for Arbitrary Shaped Waveguide," Progress In Electromagnetics Research, Vol. 158, 7-20, 2017.
doi:10.2528/PIER16101003
http://www.jpier.org/PIER/pier.php?paper=16101003

References:
1. Tai, C. T., Dyadic Green Functions in Electromagnetic Theory, IEEE Press, 1994.

2. Collin, R. E., Field Theory of Guided Waves, IEEE Press, 1991.

3. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, Wiley, 1994.
doi:10.1109/9780470546307

4. Harrington, R. F. and J. L. Harrington, Field Computation by Moment Methods, Oxford University Press, Oxford, UK, 1996.

5. Tsang, L., H. Chen, C. C. Huang, and V. Jandhyala, "Modeling of multiple scattering among vias in planar waveguides using Foldy-Lax equations," Microw. Opt. Tech. Lett., Vol. 31, 201-208, Nov. 2001.
doi:10.1002/mop.1398

6. Chen, H., Q. Li, L. Tsang, C. C. Huang, and V. Jandhyala, "Analysis of large number of vias and differential signaling in multi-layered structures," IEEE Trans. on Microw. Theory and Tech., Vol. 51, 818-829, Mar. 2003.
doi:10.1109/TMTT.2003.808616

7. Chang, X. and L. Tsang, "Fast and broadband modeling method for multiple vias with irregular antipad in arbitrarily shaped power/ground planes in 3-D IC and packaging based on generalized Foldy-Lax equations," IEEE Trans. Compon. Packag. Manuf. Technol., Vol. 4, No. 4, 685-696, Apr. 2014.
doi:10.1109/TCPMT.2013.2290897

8. Conciauro, G., M. Guglielmi, and R. Sorrentino, Advanced Modal Analysis: CAD Techniques for Waveguide Components and Filters, Wiley, NY, USA, 2002.

9. Bozzi, M., L. Perregrini, and K. Wu, "Modeling of conductor, dielectric, and radiation losses in substrate integrated waveguide by the boundary integral-resonant mode expansion method," IEEE Trans. Microw. Theory Tech., Vol. 56, No. 12, 3153-–3161, Dec. 2008.
doi:10.1109/TMTT.2008.2007140

10. Arcioni, P., M. Bozzi, M. Bressan, G. Conciauro, and L. Perregrini, "The BI-RME method: An historical overview," 2014 International Conference on Numerical Electromagnetic Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO), May 14–16, 2014.

11. Tsang, L. and S. Huang, Full wave modeling and simulations of the waveguide behavior of printed circuit boards using a broadband Green’s function technique, Provisional U.S. Patent No. 62/152.702, Apr. 24, 2015.

12. Huang, S., "Broadband Green’s function and applications to fast electromagnetic analysis of high-speed interconnects,", Ph.D. dissertation, Dept. Elect. Eng., Univ. Washington, Seattle, WA, Jun. 2015.

13. Tsang, L. and S. Huang, "Broadband Green’s function with low wavenumber extraction for arbitrary shaped waveguide and applications to modeling of vias in finite power/ground plane," Progress In Electromagnetic Research, Vol. 152, 105-125, 2015.
doi:10.2528/PIER15072605

14. Huang, S. and L. Tsang, "Fast electromagnetic analysis of emissions from printed circuit board using broadband Green’s function method," IEEE Trans. on Electromagnetic Compatibility, Vol. 58, 1642-1652, 2016.
doi:10.1109/TEMC.2016.2565584

15. Tsang, L., "Broadband calculations of band diagrams in periodic structures using the broadband Green’s function with low wavenumber extraction (BBGFL)," Progress In Electromagnetics Research, Vol. 153, 57-68, 2015.
doi:10.2528/PIER15082901

16. Tsang, L. and S. Tan, "Calculations of band diagrams and low frequency dispersion relations of 2D periodic dielectric scattering using broadband Green’s function with low wavenumber extraction (BBGFL)," Optics Express, Vol. 24, No. 2, 945-965, 2016.
doi:10.1364/OE.24.000945


© Copyright 2014 EMW Publishing. All Rights Reserved