This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. R. Paul, K. W. Whites, and S. A. Nasar, Introduction to Electromagnetic Fields, 3rd ed. New York: McGraw Hill, 1997. 41, 54
J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941. 41
K. S. Yee,"Numericalsolution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Transactions on Antennas and Propagation, vol. AP14, pp. 302-307, 1966. DOI: 10.1109/TAP.1966.1138693 41
A. Taflove and M. E. Brodwin, "Numerical-solution of steady-state electromagnetic scattering problems using time-dependent Maxwell's equations," IEEE Transactions on Microwave Theory and Techniques, vol. 23, pp. 623-630, 1975. DOI: 10.1109/TMTT.1975.1128640 46, 51
T. Weiland, "Discretization method for solution of Maxwell's equations for 6-component fields," AEU-International Journal of Electronics and Communications, vol. 31, pp. 116-120, 1977. xi, 47
R. Courant, K. O. Friedrichs, and H. Lewy, "On the Partial Differential Equations of Mathematical Physics (translated)," IBM Journal of Research and Development, vol. 11, pp. 215-234, 1967. DOI: 10.1147/rd.112.0215 48
S. D. Gedney and J. A. Roden, "Numerical stability of nonorthogonal FDTD methods," IEEE Transactions on Antennas and Propagation, vol. 48, pp. 231-239, 2000. DOI: 10.1109/8.833072 49
M. Marcus and H. Minc, Introduction to Linear Algebra. New York: Dover, 1988. 50
W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipe's: The Art of Scientific Computing, 2nd ed. New York: Cambridge University Press, 1992. 54
F. L. Teixeira, "Time-domain finite-difference and finite-element methods for Maxwell equations in complex media," IEEE Transactions on Antennas and Propagation, vol. 56, pp. 2150-2166, Aug 2008. DOI: 10.1109/TAP.2008.926767 65
D. Jiao and J. M. Jin, "Time-domain finite-element modeling of dispersive media," IEEE Microwave And Wireless Components Letters, vol. 11, pp. 220-222, May 2001. DOI: 10.1109/7260.923034
A. Taflove and S. B. Hagness, Computational Electrodynamics: The Finite-Difference TimeDomain, 3rd ed. Boston, MA: Artech House, 2005. 65
R. Luebbers, F. P. Hunsberger, K. S. Kunz, R. B. Standler, and M. Schneider, "A Frequency-Dependent Finite-Difference Time-Domain Formulation for Dispersive Materials," IEEE Transactions on Electromagnetic Compatibility, vol. 32, pp. 222-227, 1990. DOI: 10.1109/15.57116 65
R.J. Luebbers and F. Hunsberger, "FDTD for Nth-Order Dispersive Media," IEEE Transactions on Antennas and Propagation, vol. 40, pp. 1297—1301, 1992. DOI: 10.1109/8.202707 65
R. M. Joseph, S. C. Hagness, and A. Taflove, "Direct time integration of Maxwell equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses," Optics Letters, vol. 16, pp. 1412-1414, Sep 1991. DOI: 10.1364/OL.16.001412 65
P. Monk and E. Suli, "A convergence analysis of Yee's scheme on non-uniform grids," Siam Journal on Numerical Analysis, vol. 31, pp. 393-412, 1994. DOI: 10.1137/0731021 70
P. Monk, "Error estimates for Yee's method on non-uniform grids," IEEE Transactions on Magnetics, vol. 30, pp. 3200-3203, 1994. DOI: 10.1109/20.312618 70
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Gedney, S.D. (2011). Yee Algorithm for Maxwell’s Equations. In: Introduction to the Finite-Difference Time-Domain (FDTD) Method for Electromagnetics. Synthesis Lectures on Computational Electromagnetics. Springer, Cham. https://doi.org/10.1007/978-3-031-01712-4_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-01712-4_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-00584-8
Online ISBN: 978-3-031-01712-4
eBook Packages: Synthesis Collection of Technology (R0)eBColl Synthesis Collection 3