Abstract
A wide range of wireless system developments require knowledge of the distribution of electromagnetic fields from various sources in humans. As experimental assessment is ethically unacceptable, high-resolution numerical dosimetry is needed. The finite-difference time-domain method is the most appropriate due to its simplicity and versatility. Reduction in demands on computational resources can be achieved using subgridding techniques. This paper rigorously introduces frequency dependency to one of the most promising subgridding techniques, Huygens subgridding. The validity of the Huygens surface in lossy media, as well as on the physical interface, is intensively studied.
Similar content being viewed by others
References
Simicevic N (2007) Exposure of biological material to ultra-wideband electomagnetic pulses: dosimetric implications. Health Phys 92:574–583
Lin JC (2007) Dosimetric comparison between different quantities for limiting exposure in the RF band: rationale and implications for guidelines. Health Phys 92:547–553
Kopecky R, Persson M (2004) Subgridding method for FDTD modeling in the inner ear. Proc SPIE 5445:398–401
Zakharian AR, Brio M, Dineen C, Moloney J (2006) Second-order accurate FDTD space and time grid refinement method in three space dimensions. IEEE Photonics Technol Lett 11:1237–1239
Donderici B, Teixeira FL (2006) Domain-overriding and digital filtering for 3-D subgridded simulations. IEEE Microw Wirel Compon Lett 16:10–12
Kulas L, Mrozowski M (2005) Low-reflection subgridding. IEEE Trans Microwave Theor Tech 53:1587–1592
Vaccari A, Pontalti R, Malacarne C, Cristoforetti L (2004) A robust and efficient subgridding algorithm for finite-difference time-domain simulations of Maxwell’s equations. J Comput Phys 194:117–139
Venkatarayalu NV, Lee R, Gan YB, Li LW (2007) A stable FDTD subgridding method based on finite element formulation with hanging variables. IEEE Trans Antennas Propag 55:907–915
Chilton RA, Lee R (2007) Conservative and provably stable FDTD subgridding. IEEE Trans Antennas Propag 55:2537–2548
Marrone M, Mittra R (2005) A new stable hybrid three-dimensional generalized finite difference time domain algorithm for analyzing complex structures. IEEE Trans Antennas Propag 53:1729–1737
Xiao K, Pommerenke DJ, Drewniak JL (2007) A three-dimensional FDTD subgridding algorithm with separated temporal and spatial interfaces and related stability analysis. IEEE Trans Antennas Propag 55:1981–1990
Kulas L, Mrozowski M (2004) Stability of the FDTD scheme containing macromodels. IEEE Microw Wirel Compon Lett 14:484–486
Bérenger JP (2006) A Huygens subgridding for the FDTD method. IEEE Trans Antennas Propag 54:3797–3804
Bérenger JP (2005) A FDTD subgridding based on Huygens surfaces. In: IEEE int symp antennas propagat, pp 98–101
Huygens C (1690) Treatise on light. http://www.gutenberg.org/etext/14725
Taflove A, Hagness SC (2005) Computational electrodynamics. The finite-difference time-domain method. Artech House, Boston, MA
Kong JA (1975) Theory of electromagnetic waves. Wiley, New York
Debye P (1929) Polar molecules. Dover, New York
Gabriel S, Lau R, Gabriel C (1996) The dielectric properties of biological tissues: Iii. parametric models for the dielectric spectrum of tissues. Phys Med Biol 41:2271–2293
Costa J, Costen F, Bérenger JP, Brown A (2007) Inclusion of frequency dependency in the Huygens subgridding FDTD for UWB systems. In: IEEE int symp antennas propagat, pp 3077–3080
Berenger JP (1994) A perfectly matched layer for the absorption of electromagnetic waves. J Comp Physiol 114:185–200
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Costen, F., Bérenger, JP. Extension of the FDTD Huygens subgridding to frequency dependent media. Ann. Telecommun. 65, 211–217 (2010). https://doi.org/10.1007/s12243-009-0131-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12243-009-0131-0