Journal article
Divergent fields, charge, and capacitance in FDTD simulations
IEEE transactions on microwave theory and techniques, Vol.46(12), pp.2131-2136
12/1998
Handle:
https://hdl.handle.net/2376/112950
Abstract
Finite-difference time-domain (FDTD) grids are often described as being divergence-free in a source-free region of space. However, in the presence of a source, the continuity equation states that charges may be deposited in the grid, while Gauss's law dictates that the fields must diverge from any deposited charge. The FDTD method will accurately predict the (diverging) fields associated with charges deposited by a source embedded in the grid. However, the behavior of the charge differs from that of charge in the physical world, unless the FDTD implementation is explicitly modified to include charge dynamics. Indeed, the way in which charge behaves in an FDTD grid naturally leads to the definition of grid capacitance. This grid capacitance, though small, is an intrinsic property of the grid and is independent of the way in which energy is introduced. To account for this grid capacitance, one should use a slightly modified form of the lumped-element capacitor model currently used.
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Details
- Title
- Divergent fields, charge, and capacitance in FDTD simulations
- Creators
- C.L Wagner - Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USAJ.B Schneider
- Publication Details
- IEEE transactions on microwave theory and techniques, Vol.46(12), pp.2131-2136
- Academic Unit
- Electrical Engineering and Computer Science, School of
- Publisher
- IEEE
- Identifiers
- 99900548110901842
- Language
- English
- Resource Type
- Journal article