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Because FDTD is solved by propagating the fields forward in the time ___domain, the electromagnetic time response of the medium must be modeled explicitly. For an arbitrary response, this involves a computationally expensive time convolution, although in most cases the time response of the medium (or [[Dispersion (optics)]]) can be adequately and simply modeled using either the recursive convolution (RC) technique or the auxiliary differential equation (ADE) technique. An alternative way of solving [[Maxwell's equations]] that can treat arbitrary dispersion easily is the Pseudospectral Spatial-Domain method (PSSD), which instead propagates the fields forward in space.
== Truncation techniques==
The most used trucating techniques are Mür's Technique and the [[U-PML]] formulation.
== References ==
===Journal Articles===
*{{cite journal | author= Kane Yee | title= Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media | journal= Antennas and Propagation, IEEE Transactions on | year= 1966 | volume= 14 | pages= 302–307 | url=http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=1138693}}
*{{cite journal | author= G. Mür | title= Absorbing boundary conditions for the Finite-difference approximation of the time-___domain electromagnetic field equations | journal= Electromagnetic Compatibility, IEEE Transactions on | year= 1981 | volume= 23 | pages= 377–382 }}
*{{cite journal | author= S.D. Gedney | title= An anisotropic perfectly matched layer absorbing media for the truncation of FDTD latices| journal= Antennas and Propagation, IEEE Transactions on | year= 1996 | volume= 44 | pages= 1630–1639 }}
===University level textbooks===
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