Vol. 80
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2007-11-28
Combing Multilevel Green's Function Interpolation Method with Volume Loop Bases for Inductance Extraction Problems
By
Progress In Electromagnetics Research, Vol. 80, 225-239, 2008
Abstract
In this paper,a fast integral equation method is developed for extracting the inductances in RF ICs,RF MEMs,IC packages,and deep submicron ICs etc. This method combines a recently developed Multilevel Green's Function Interpolation Method (MLGFIM) [1,2] with the volume integral equation discretized using Volume Loop (VL) basis functions. In it,instead of using the filaments model to simulate the currents flowing in the inductors,w e use the conventional SWG basis functions for this kind of basis functions is flexible for problems with complex geometries. The shortest path finding algorithm is also used to find the source loop basis functions. The inductance extractions from the straight line,the spiral inductors,the bump,and the parallel buses in this paper demonstrate the validity and efficiency of this hybrid method.
Citation
Hao-Gang Wang Zhao Peng , "Combing Multilevel Green's Function Interpolation Method with Volume Loop Bases for Inductance Extraction Problems," Progress In Electromagnetics Research, Vol. 80, 225-239, 2008.
doi:10.2528/PIER07102101
http://www.jpier.org/PIER/pier.php?paper=07102101
References

1. Wang, H. G., C. H. Chan, and L. Tsang, "A new multilevel Green's function interpolation method for large scale low frequency EM simulations," IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., Vol. 24, No. 9, 1427-1443, 2005.
doi:10.1109/TCAD.2005.850804

2. Wang, H. G. and C. H. Chan, "The implementation of multilevel Green's function interpolation method for full-wave electromagnetic problems," IEEE Trans. Antennas Propag., Vol. 55, No. 5, 1348-1358, 2007.
doi:10.1109/TAP.2007.895576

3. Venkov, G., M. W. McCall, and D. Censor, "The theory of low-frequency wave physics revisited," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 2, 229-249, 2007.
doi:10.1163/156939307779378763

4. Tang, W., X. He, T. Pan, and Y. L. Chow, "Syn thetic asymptote formulas of equivalent circuit components of square spiral inductors," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 2, 215-226, 2006.
doi:10.1163/156939306775777206

5. Zheng, Q. and H. Zeng, "Multip ole theory analysis of 3D magnetostatic fields," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 3, 389-397, 2006.
doi:10.1163/156939306775701768

6. Babic, S. I. and C. Akyel, "New mutual inductance calculation of the magnetically coupled coils: Thin disk coil-thin wall solenoid," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 10, 1281-1290, 2006.
doi:10.1163/156939306779276794

7. Hodges, D. A., H. G. Jackson, and R. A. Saleh, Analysis and Design of Digital Integrated Circuits in Deep Submicron Technology, McGra w-Hill Education (Asia) Co. and Tsinghua University Press, 2003.

8. Ulrich, R. K. and L. W. Schaper, Integrated Passive Component Technology, IEEE Press, Piscata way, NJ, 2003.

9. Varadan, V. K., K. J. Vinoy, and K. A. Jose, RF MEMS and Their Applications, John Wiley & Sons Inc., Hob oken, NJ, 2003.

10. Kusamitsu, H., Y. Morishita, K. Maruhashi, M. Ito, and K. Ohata, "The flip-chip bump interconnection for millimeterwave GaAs MMIC," IEEE Trans. Electronics Packaging Manufacturing, Vol. 22, No. 1, 23-28, 1999.
doi:10.1109/6104.755086

11. Wang, H. G., C. H. Chan, L. Tsang, and V. Jandhyala, "On sampling algorithms in multilevel QR factorization method for magnetoquasitatic analysis of integrated circuits over multilayered lossy substrates," IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., Vol. 25, No. 9, 1777-1792, 2006.
doi:10.1109/TCAD.2005.859534

12. Kamon, M., M. J. Tsuk, and J. K. White, "F ASTHENRY: A multipole accelerated 3-D inductance extraction program," IEEE Trans. Microw. Theory Tech., Vol. 42, No. 9, 1750-1758, 1994.
doi:10.1109/22.310584

13. Schaubert, D. H., D. R. Wilton, and A. W. Glisson, "A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies," IEEE Trans. Antennas Propag., Vol. 32, No. 1, 77-85, 1984.
doi:10.1109/TAP.1984.1143193

14. Rubin, B. J., "Div ergence-free basis for representing polarization current in finite-size dielectric regions," IEEE Trans. Antennas Propagat., Vol. 41, No. 3, 269-277, 1993.
doi:10.1109/8.233137

15. Zhao, J. S. and W. C. Chew, "In tegral equation solution of Maxwell's equations from zero frequency to microwave frequencies," IEEE Trans. Antennas Propagat., Vol. 48, No. 10, 1635-1645, 2000.
doi:10.1109/8.899680

16. Chen, S., W. C. Chew, J. M. Song, and J. S. Zhao, "Analysis of low frequency scattering from penetrable scatterers," IEEE Trans. on Geoscience and Remote Sensing, Vol. 39, No. 4, 726-735, 2001.
doi:10.1109/36.917883

17. Lee, J. F., R. Lee, and R. J. Burkholder, "Lo op star basis functions and a robust pre-conditioner for EFIE scattering problems," IEEE Trans. Antennas Propagat., Vol. 51, No. 8, 1855-1863, 2003.
doi:10.1109/TAP.2003.814736

18. Li, M.-K. and W. C. Chew, "Applying divergence-free condition in solving the volume integral equation," Progress In Electromagnetics Research, Vol. 57, 311-333, 2006.
doi:10.2528/PIER05061303

19. Rokhlin, V., "Rapid solution of integral equation of classical potential theory," J. Comput. Phys., Vol. 60, 187-207, 1985.
doi:10.1016/0021-9991(85)90002-6

20. Lu, C. C. and W. C. Chew, "A multilevel algorithm for solving boundary integral equations of wave scattering," Microw. Opt. Tech. Lett., Vol. 7, No. 7, 466-470, 1994.
doi:10.1002/mop.4650071013

21. Song, J. M., C. C. Lu, and W. C. Chew, and S. W. Lee, "Fast illinois solver code (FISC)," IEEE Antennas Propag. Mag., Vol. 48, No. 6, 27-34, 1998.
doi:10.1109/74.706067

22. Sarkar, T. K., E. Arvas, and S. M. Rao, "Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies," IEEE Trans. Antennas Propagat., Vol. 34, 635-640, 1986.
doi:10.1109/TAP.1986.1143871

23. Zhao, L., T. J. Cui, and W.-D. Li, "An efficient algorithm for EM scattering by electrically large dielectric objects using Mr-Qeb iterative scheme and CG-FFT method," Progress In Electromagnetics Research, Vol. 67, 341-355, 2007.
doi:10.2528/PIER06121902

24. Phillips, J. R. and J. K. White, "A precorrected-FFT method for electrostatic analysis of complicated 3-D structures," IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., Vol. 16, No. 10, 1059-1072, 1997.
doi:10.1109/43.662670

25. Chan, C. H., C.-M. Lin, L. Tsang, and Y. F. Leung, "A sparse matrix/canonical grid method for analyzing microstrip structures," IEICE Trans. Electron., Vol. E80-C, No. 11, 1354-1359, 1997.

26. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Sci., Vol. 31, No. 10, 1225-1251, 1996.
doi:10.1029/96RS02504

27. Kapur, S. and D. E. Long, "IES 3: Efficient electrostatic and electromagnetic simulation," IEEE Computational Science and Engineering, Vol. 5, No. 12, 60-67, 1998.
doi:10.1109/99.735896

28. Wang, H. G., C. H. Chan, L. Tsang, and K. F. Chan, "Mixture effective permittivity simulations using IMLMQRF method on preconditioned EFIE," Progress In Electromagnetics Research, Vol. 57, 285-310, 2006.
doi:10.2528/PIER05072603

29. Gilberg, R. F. and B. A. Forouzan, Data Structures: A Pseudocode Approach with C++, Thomson Asia Pte Ltd and PPTPH, 2002.