By Allen Taflove, Susan C. Hagness,

ISBN-10: 1580530761

ISBN-13: 9781580530767

This reference textual content is designed as an reduction for pro engineers utilizing the Finite-Difference Time-Domain (FDTD) technique for Maxwell's equations. It explains the tactic and offers advancements in FDTD strategies.

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Additional info for Computational Electrodynamics: The Finite-Difference Time-Domain Method 2nd edition (Artech House Antennas and Propagation Library)

Example text

In order to write H, we have chosen a special system of units, that we shall adopt henceforth. This special system of units, called the atomic unit system, is commonly used in quantum chemistry. In this system, one has me=l, e=l, 1 ---=1, 4Jre0 h=l, where me, e, h, eo, respectively, denote the electron mass, the elementary charge, the reduced Planck constant, and the dielectric permittivity of vacuum. 2 eV, or also 627 kcal/mol. In this particular system, the mean value of the electron-nucleus distance in the Hydrogen atom is of the order of one, while the ground state energy of this atom is - 0 .

1) satisfies the time independent Schr6dinger equation H $ o = EoOo. 6) is a real operator, both the real part and the imaginary part of ~0 are themselves ground states (provided they are not zero and up to normalization). Consequently, it suffices to consider real valued wavefunctions. It is also clear from the form of the Hamiltonian H that, if we want to only consider states of finite energy, we need to impose the L 2 integrability of the first derivative of the wavefunctions with respect to the space variables.

3) with W (xl . . . XM) = U(Xl . . . k

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Computational Electrodynamics: The Finite-Difference Time-Domain Method 2nd edition (Artech House Antennas and Propagation Library) by Allen Taflove, Susan C. Hagness,


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