Vol. 44
Latest Volume
All Volumes
PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2012-09-16
Investigation of Different Basis and Testing Functions in Method of Moments for Electrostatic Problems
By
Progress In Electromagnetics Research B, Vol. 44, 31-52, 2012
Abstract
This paper presents comparative studies on different types of basis and testing functions used in Method of Moments (MoM) in terms of analytical complexity, convergence and condition number of the co-efficient matrix when applied to electrostatic problem of evaluating capacitance and charge distribution of conducting bodies. A thin conducting cylinder of finite length has been taken as a representative case study to evaluate the capacitance and charge distribution. The basis and testing functions which have been studied for this problem are pulse-delta, pulse-pulse, triangular-delta, triangular-pulse and triangular-triangular functions respectively. Numerical data on capacitance and charge distribution has been presented for each set of basis and testing functions in terms of condition number and convergence.
Citation
Rizwan Habibbhai Alad, and Soumyabrata B. Chakrabarty, "Investigation of Different Basis and Testing Functions in Method of Moments for Electrostatic Problems," Progress In Electromagnetics Research B, Vol. 44, 31-52, 2012.
doi:10.2528/PIERB12070603
References

1. Harrington, R. F., Field Computation by Method of Moment, Macmillan, New York, 1968.

2. Gibson, W. C., "The Method of Moments in Electromagnetics," Chapman & Hall/CRC, Taylor & Francis Group, 2008.

3. Das, B. N. and S. B. Chakrabarty, "Capacitance and charge distribution of two cylindrical conductors of finite length," IEE Proceedings of Measurement Technology, Vol. 144, No. 6, 280-286, 1997.
doi:10.1049/ip-smt:19971424

4. Das, , B. N. and S. B. Chakrabarty, "Calculation of the electrical capacitance of a truncated cone," IEEE Transactions of Electromagnetic Compatibility, Vol. 39, No. 4, 371-374, 1997.
doi:10.1109/15.649838

5. Chakraborty, C., D. R. Poddar, A. Chakraborty, and B. N. Das, "Electrostatic charge distribution and capacitance of isolated cylinders and truncated cones in free space," IEEE Transactions on Electromagnetic Compatibility, Vol. 35, No. 1, February 1993.
doi:10.1109/15.249403

6. Das, B. N. and S. B. Chakrabarty, "Capacitance of metallic structures in the form of paraboloidal and spherical reflectors," IEEE Transactions of Electromagnetic Compatibility, Vol. 39, No. 4, 390-393, 1997.
doi:10.1109/15.649845

7. Ghosh, S. and and A. Chakrabarty, "Estimation of capacitance of di®erent conducting bodies by the method of rectangular subareas," Journal of Electrostatics , Vol. 66, 142-146, 2008.
doi:10.1016/j.elstat.2007.11.003

8. Das, B. N. and S. B. Chakrabarty, "Evaluation of capacitance and charge distribution of cylinder of finite length with top and bottom cover plates," Indian Journal of Radio & Space Physics, Vol. 26, 112-115, 1997.

9. Prarthan, D. M. and S. B. Chakrabarty, "Capacitance of dielectric coated metallic bodies isolated in free space," Electromagnetics, Vol. 31, No. 4, 294-314, 2011.
doi:10.1080/02726343.2011.568923

10. Das, B. N. and S. B. Chakrabarty, "Rigorous analysis of the effect of dielectric coating on metallic bodies isolated in free space," Proceedings of INSA-A, Vol. 64-A-2, 137-148, 1998.

11. Chakrabarty, S. B., S. Das, and B. N. Das, "Capacitance of dielectric coated cylinder of finite axial length and truncated cone isolated in free space," IEEE Transactions on Electromagnetic Compatibility, Vol. 44, No. 2, 394-398, 2002.
doi:10.1109/TEMC.2002.1003406

12. Wheless, W. and L. T. Wartz, "Introducing undergraduates to the moment method," IEEE Transactions on Education Introducing Undergraduates to the Moment Method, Vol. 38, No. 4, November 1995.

13. Ouda, M., "Efficient capacitance matrix computation of large conducting bodies using the characteristic basis function method," Journal of Applied Sciences, Vol. 10, No. 15, 1622-1626, 2010.
doi:10.3923/jas.2010.1622.1626