Skip to main content Accesibility Help
×
×
Home

Time-domain analysis of a CRLH coupled-line coupler using the CN-FDTD method

  • Mahdieh Gholami Mayani (a1), Shahrooz Asadi (a1) and Shokrollah Karimian (a1)
Abstract

In this study, the implicit Crank–Nicolson finite-difference time-domain (CN-FDTD) method is applied to discretize the governing telegrapher's equations of a composite right-/left-handed (CRLH) coupled-line coupler. The unconditionally stable CN-FDTD is compared with the conventional leap-frog (LF) FDTD method. The results obtained from the CN-FDTD scheme show up to 10 times increase in the temporal step size, reflecting in a dramatic decrease in processing time; in addition to having a good agreement with the LF method and the measurements.

Copyright
Corresponding author
Author for correspondence: Shahrooz Asadi, E-mail: Sh_asadi@sbu.ac.ir
References
Hide All
1.Viktor, GV (1968) The electrodynamics of substances with simultaneously negative values of ε AND μ. Soviet Physics-Uspekhi 10, 509.
2.Pendry, JB, Holden, AJ, Robbins, DJ and Stewart, WJ (1999) Magnetism from conductors and enhanced nonlinear phenomena. IEEE Transactions on Microwave Theory and Techniques 47, 20752084.
3.Zhu, C, Liang, C-H and Li, L (2011) Broadband negative index metamaterials with low-loss. AEU – International Journal of Electronics and Communications 65, 724727.
4.Oliner, AA (2003) A planar negative-refractive-index medium without resonant elements. IEEE MTT-S International Microwave Symposium Digest, USA.
5.Iyer, AK and Eleftheriades, GV (2002) Negative refractive index metamaterials supporting 2-D waves. 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278), Washington.
6.Caloz, C and Itoh, T (2004) Transmission line approach of left-handed (LH) materials and microstrip implementation of an artificial LH transmission line. IEEE Transactions on Antennas and Propagation 52, 11591166.
7.Afrooz, K, Abdipour, A and Martin, F (2012) Time domain analysis of one-dimensional linear and non-linear composite right/left-handed transmission lines using finite-difference time-domain method. IET Microwaves, Antennas and Propagation 6, 312325.
8.Lai, A, Itoh, T and Caloz, C (2004) Composite right/left-handed transmission line metamaterials. IEEE Microwave Magazine 5, 3450.
9.Lei, L, Caloz, C and Itoh, T (2002) Dominant mode leaky-wave antenna with backfire-to-endfire scanning capability. Electronics Letters 38, 14141416.
10.Antoniades, MA and Eleftheriades, GV (2003) Compact linear lead/lag metamaterial phase shifters for broadband applications. IEEE Antennas and Wireless Propagation Letters 2, 103106.
11.Caloz, C, Sanada, A and Itoh, T (2004) A novel composite right-/left-handed coupled-line directional coupler with arbitrary coupling level and broad bandwidth. IEEE Transactions on Microwave Theory and Techniques 52, 980992.
12.Danaeian, M, Afrooz, K and Hakimi, A (2018) Miniaturization of substrate integrated waveguide filters using novel compact metamaterial unit-cells based on SIR technique. AEU – International Journal of Electronics and Communications 84, 6273.
13.Mongia, R, Bhartia, P, Bahl, I and Hong, J (1999) RF and Microwave Coupled-Line Circuits. Norwood, MA: Artech House.
14.Pozar, D (1998) Microwave Engineering. New York: Wiley.
15.Lange, J (1969) Interdigitated stripline quadrature hybrid (correspondence). IEEE Transactions on Microwave Theory and Techniques 17, 11501151.
16.Keshavarz, R, Movahhedi, M and Abdipour, A (2012) A broadband and compact asymmetrical backward coupled-line coupler with high coupling level. AEU – International Journal of Electronics and Communications 66, 569574.
17.Hussein, YA and El-Ghazaly, SM (2004) Modeling and optimization of microwave devices and circuits using genetic algorithms. IEEE Transactions on Microwave Theory and Techniques 52, 329336.
18.Movahhedi, M and Abdipour, A (2005) Accelerating the transient simulation of semiconductor devices using filter-bank transforms. in European Gallium Arsenide and Other Semiconductor Application Symposium, GAAS, Paris.
19.Mirzavand, R, Abdipour, A, Moradi, G and Movahhedi, M (2010) Full-wave semiconductor devices simulation using adi-FDTD method. Progress In Electromagnetics Research M 11, 191202.
20.Mirzavand, R, Abdipour, A, Moradi, G and Movahhedi, M (2011) Full-wave semiconductor devices simulation using meshless and finite-difference time-domain approaches. IET Microwaves, Antennas and Propagation 5, 685691.
21.Zhang, Y and Spielman, BE (2007) A stability analysis for time-domain method-of-moments analysis of 1-D double-negative transmission lines. IEEE Transactions on Microwave Theory and Techniques on 55, 18871898.
22.Gomez-Diaz, JS, Gupta, S, Alvarez-Melcon, A and Caloz, C (2009) Investigation on the phenomenology of impulse-regime metamaterial transmission lines. IEEE Transactions on Antennas and Propagation 57, 40104014.
23.Gomez-Diaz, JS, Gupta, S, Lvarez-melcon, AA and Caloz, C (2010) Efficient time-domain analysis of highly dispersive linear and non-linear metamaterial waveguide and antenna structures operated in the impulse-regime. IET Microwaves, Antennas and Propagation 4, 16171625.
24.Ghadimi, A and Asadi, S (2018) Modelling of composite right/left-handed active multiconductor transmission lines (AMCTL) in time domain. International Journal of Numerical Modelling 31, e2257.
25.Taflove, A (1995) Computational Electrodynamics: The Finite-Difference Time-Domain Method. Norwood, MA: Artech House.
26.Thomas, J (1998) Numerical Partial Differential Equations: Finite Difference Methods. New York: Springer-Verlag.
27.Guilin, S and Trueman, CW (2006) Efficient implementations of the Crank-Nicolson scheme for the finite-difference time-domain method. IEEE Transactions on Microwave Theory and Techniques 54, 22752284.
28.Yang, Y, Chen, RS, Wang, DX and Yung, EKN (2007) Unconditionally stable Crank-Nicolson finite-different time-domain method for simulation of three-dimensional microwave circuits. IET Microwaves, Antennas and Propagation 1, 937942.
29.Honarbakhsh, B and Asadi, S (2017) Analysis of multiconductor transmission lines using the CN-FDTD method. IEEE Transactions on Electromagnetic Compatibility 59, 184192.
30.Namiki, T (1999) A new FDTD algorithm based on alternating-direction implicit method. IEEE Transactions on Microwave Theory and Techniques 47, 20032007.
31.Fenghua, Z, Zhizhang, C and Jiazong, Z (2000) Toward the development of a three-dimensional unconditionally stable finite-difference time-domain method. IEEE Transactions on Microwave Theory and Techniques 48, 15501558.
32.Garcia, SG, Tae-Woo, L and Hagness, SC (2002) On the accuracy of the ADI-FDTD method. IEEE Antennas and Wireless Propagation Letters 1, 3134.
33.Lee, J and Fornberg, B (2004) Some unconditionally stable time stepping methods for the 3D Maxwell's equations. Journal of Computational and Applied Mathematics 166, 497523.
34.Shibayama, J, Muraki, M, Yamauchi, J and Nakano, H (2005) Efficient implicit FDTD algorithm based on locally one-dimensional scheme. Electronics Letters 41, 10461047.
35.Liu, QF, Chen, Z and Yin, WY (2009) An arbitrary-order LOD-FDTD method and its stability and numerical dispersion. IEEE Transactions on Antennas and Propagation 57, 24092417.
36.Kijun, L, Song Jae, L, Dong Chul, P and Yeon Choon, C (1997) Equivalent circuit model for the time-domain analysis of multiconductor transmission lines by the implicit FDTD method. in IEEE 1997, EMC, Austin Style. IEEE 1997 International Symposium on Electromagnetic Compatibility. Symposium Record (Cat. No.97CH36113).
37.Afrooz, K and Abdipour, A (2012) Efficient method for time-domain analysis of lossy nonuniform multiconductor transmission line driven by a modulated signal using FDTD technique. IEEE Transactions on Electromagnetic Compatibility 54, 482494.
38.Afrooz, K (2016) Unconditionally stable finite-difference time-domain algorithm for analysing composite right-/left-handed transmission line. IET Microwaves, Antennas and Propagation 10, 339346.
39.Shi, WS and Shi, TK (1997) Matrix Calculus and Kroneker Product with Applications and C++ Programs. USA: World Scientific Pub.
40.Asadi, S and Honarbakhsh, B (2017) Linear analysis of high-frequency field-effect transistors using the CN-FDTD method. IEEE Transactions on Microwave Theory and Techniques 65, 19461954.
41.Kantartzis, NV and Tsiboukis, TD (2008) Modern EMC analysis techniques, vol. 1. US: Morgan and Claypool Publishers.
42.Caloz, C and Itoh, T (2006) Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications. US: Wiley and IEEE Press.
43.Gholami Mayani, M and Asadi, S (2018) Analysis of dual-gate high electron mobility transistor using an unconditionally stable time domain method. IET Science, Measurement and Technology 12, 698705.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

International Journal of Microwave and Wireless Technologies
  • ISSN: 1759-0787
  • EISSN: 1759-0795
  • URL: /core/journals/international-journal-of-microwave-and-wireless-technologies
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Keywords

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed