Main Article Content


 In this paper, a semi-analytical technique known as the Method of Lines (MoL) with uniform and non-uniform discretization schemes is developed. The aim is to determine static potential profile in planar electronic structures. Even though this method has been known for some time, there has been reported work on its application to planar semiconductor device analysis for voltage profile determination. Since most current electronic devices are manufactured using planar and quasi-planar technology, the proposed algorithm is well suited for device analysis prior to fabrication. Compared with known popular methods such as Finite Difference and Finite Elements methods, the proposed technique is relatively simple, more accurate and unlike other methods, has no convergence problem. In addition to this, its semi-analytical nature, which consists of reducing one computing dimension, allows saving significant memory and computation time. Typical planar electronic structures are considered to demonstrate their suitability for these devices, and the obtained results are presented and discussed.



Planar structure Method of lines Potential profile MoL

Article Details

How to Cite
Bourdoucen, H., Dehmas, M., & Yallaoui, E.-B. (2010). Determination of Potential Profile In Planar Electronic Structures Using A Semi-Analytical Technique. The Journal of Engineering Research [TJER], 7(1), 62–69.


  1. Ames, W.F., 1977, "Numerical Methods for Partial Differential Equations," Academic Press, New York.
  2. Barcz, A., Helfert, S.F. and Pregla, R., 2003, "The Method of Lines Applied to Numerical Simulation of 2D and 3D Bandgap Structures," Proceedings of 5th International Conference on Transparent Optical Networks, 1, pp. 126-129.
  3. Chen, R. S., Fang, D.G. and Li, X.G., 2007, "Analysis of Open Microstrip Lines by MOL," International Journal of Microwave and Millimeter-Wave Computer-Aided Engineering, Vol. 3(2), pp. 109 - 113.
  4. Gonzalo, P., Ricardo, M. and Francisco, M., 2006, "Quasi- TM MoL/MoM Approach for Computing the Transmission-Line Parameters of Lossy Lines," IEEE Trans. Microw. Theory Technology, Vol. 54(1), pp. 198-209.
  5. Pascher, W., Pregla, R. and Vietzorreck, L., 2005, "Fast Full-Wave Analysis of Distributed MEMS Transmission Lines by the MoL," International Conference on Wireless Communications and Applied Computational Electromagnetics, IEEE/ACES, 3-7 , pp. 763 - 766.
  6. Plaza, G., Marques, R. and Medina, F., 2006, "Quasi-TM MoL/MoM Approach for Computing the Transmission-Line Parameters of Lossy Lines," IEEE Transmission Microw. Theory Tech.nology, Vol. 54(1), pp. 198-209.
  7. Pregla, R. and Pascher, W., 1989, " Numerical Technique for Microwave and Millimeter Passive Structures," Ed. John Willey and Sons.
  8. Pregla, R., 2002, "Efficient and Accurate Modeling of Planar Anisotropic Microwave Structures by the Method of Lines," IEEE Transmission Microwave Theory and Techniques, Vol. 50, pp. 1469-1479.
  9. Sadiku, M.N.O. and Garcia, R.C., 2000, "Method of Lines Solution of Axisymmetric Problems," Southeastcon 2000. Proceedings of the IEEE, pp. 527 - 530.
  10. Schultz, U., 1980, "The Method Of Lines - A New Technique for the Analysis of Planar Microwave Structures," PhD Thesis, Fern Univ. Hagen, Germany.
  11. Vietzorreck, L., Coccetti, F., Chtchekatourov, V. and Russer, P., 2000, "Numerical Methods for the High- Frequency Analysis of MEMS Capacitive Switches," Proceedings of the II. Topical Meeting on Silicon Monolithic Integrated Circuits in RF Systems 26 - 28. April 2000 Garmisch Germany, pp. 123-124.
  12. Vietzorreck, L. and Pascher, W., 2004, "Efficiency Enhancement by Reduction of Modal Complexity in the Analysis of Cascaded Planar Circuits by the MoL," Microwave Symposium Digest, IEEE MTT-S International, 3, pp- 1423-1426.
  13. Yan, L., Hong, W., Wu, K. and Cui, T.J., 2005, "Investigations on the Propagation Characteristics of the Substrate Integrated Waveguide Based on the Method of Lines," Microwaves, Antennas and Propagation, IEE Proceedings, Vol. 152(1), pp. 35 - 42.
  14. Zhou, G.R., Fang, D.G. and Feng, N.N., 2000, "Entire Domain Based Diakoptic Method of Lines," CEEM 2000 Proceedings, Asia-Pacific Conference on Environmental Electromagnetics, pp. 270-273.