An efficient state-space ADI-PML algorithm for truncating DNG metamaterial FDTD domains

Microwave and Optical Technology Letters

Volumn 49, Issue 2, 2007, Pages 494-498

  Ramadan, Omar ^a  

^a EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

Author keywords

Alternating direction implicit; Anisotropic perfectly matched layer; Double negative metamaterial; Finite difference time domain; State space equations

Indexed keywords

ALGORITHMS; FINITE DIFFERENCE METHOD; MATERIALS SCIENCE; TIME DOMAIN ANALYSIS;

ALTERNATING DIRECTION IMPLICIT; ANISOTROPIC PERFECTLY MATCHED LAYERS; DOUBLE NEGATIVE METAMATERIALS; STATE-SPACE EQUATIONS;

STATE SPACE METHODS;

EID: 33846664521     PISSN: 08952477     EISSN: None     Source Type: Journal    
DOI: 10.1002/mop.22162     Document Type: Article

References (18)

1. V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ε and μ, Sov Phys Uspekhi 10 (1968), 509-514.
2. A. Taflove and S.C. Hangess, Computational electrodynamics: The finite-difference time-domain method, 2nd ed., Artech House, Boston, MA, 2000.
3. R.W. Ziolkowski and E. Heyman, Wave propagation in media having negative permittivity and permeability, Phys Rev E 64 (2001), 056625.
4. M.K. Karkkainen, Numerical study of wave propagation in uniaxially anisotropic Lorentzian backward-wave slabs, Phys Rev E 68 (2003), 026602.
5. J.-P. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, J Comput Phys 114 (1994), 185-200.
6. D. Correia and J.-M. Jin, 3D-FDTD-PML analysis of left-handed metamaterials, Microwave and Optical Technol Lett 40 (2004), 201-205.
7. S.A. Cummer, Perfectly matched layer behaviour in negative refractive index materials, IEEE Antennas Wireless Propag Lett 3 (2004), 172-175.
8. X.T. Dong, X.S. Rao, Y.B. Gan, B. Guo, and W.Y. Yin, Perfectly matched layer-absorbing boundary condition for left-handed materials, IEEE Microwave Wireless Components Lett 14 (2004), 301-303.
9. S.D. Gedney, An anisotropic perfectly-matched layer-absorbing medium for the truncation of FD-TD lattices, IEEE Trans Antennas Propag 44 (1996), 1630-1639.
10. S.A. Cummer, A simple, nearly perfectly matched layer for general electromagnetic media, IEEE Microwave Wireless Components Lett 13 (2003), 128-130.
11. D.M. Sullivan, Z-transform theory and the FDTD method, IEEE Trans Antennas Propag 44 (1996), 28-34.
12. W.H. Weedon and C.M. Rappaport, A general method for FDTD modelling of wave propagation in arbitrary frequency-dispersive media, IEEE Trans Antennas Propag 45 (1997), 401-409.
13. T. Namiki, A new FDTD algorithm based on alternating-direction implicit method, IEEE Trans Microwave Theory Techniques 47 (1999), 2003-2007.
14. O. Ramadan, Unconditionally stable ADI-FDTD formulations of the PML for left-handed materials, In: The 35th European Microwave Conference (EuMC), Paris, France, Oct. 4-6, 2005, pp. 1121-1124.
15. O. Ramadan, Unconditionally stable Z-transform ADI-PML algorithm for Lorentzian double negative meta-material, Int J Infrared Millimet Waves 26 (2005), 1757-1770.
16. J.A. Pereda, L.A. Vielva, A. Vegas, A. Prieto, State-space approach to the FDTD formulations for dispersive media," IEEE Trans Magn 31 (1995), 1602-1605.
17. J.A. Pereda, L.A. Vielva, A. Vegas, and A. Prieto, Analyzing the stability of the FDTD technique by combining the Von Neumann method with Routh-Hurwitz criterion, IEEE Trans Microwave Theory Techniques 49 (2001), 377-381.
18. S.D. Gedney, G. Liu, J.A. Roden, and A. Zhu, Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method, IEEE Trans Antennas Propag 49 (2001), 1554-1559.