Introduction to FDTD

Introduction to FDTD

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Computational electromagnetics (CEM) has evolved rapidly during the past decade to a point where now extremely accurate predictions can be given for a variety of electromagnetic problems, including the scattering cross-section of radar targets and the precise design of antennas and microwave devices. In general, commonly used CEM methods are based on the applications of Maxwell's equations and the appropriate boundary conditions associated with the problem to be solved.The basic formulation of the commonly used time-domain differential equation approach, namely the finite-difference time-domain (FDTD) method for CEM applications, is covered in this chapter. This formulation sets the stage for the adjoint variable methods covered in the subsequent chapters. Most of the materials in this chapter is extracted from the authors' recent book [1].

Chapter Contents:

  • 2.1 Basic equations
  • 2.2 FDTD updating equations for three-dimensional space
  • 2.3 FDTD updating equations for two-dimensional space
  • 2.4 FDTD updating equations for one-dimensional space
  • 2.5 Dispersive material modeling
  • 2.5.1 Modeling Lorentz medium using ADE technique
  • 2.5.2 Modeling Drude medium using ADE technique
  • 2.6 Anisotropic material modeling
  • References

Inspec keywords: computational electromagnetics; electromagnetic wave scattering; finite difference time-domain analysis; Maxwell equations

Other keywords: finite-difference time-domain method; computational electromagnetics; CEM methods; FDTD; Maxwell equations; antenna design; radar target scattering cross-section; time-domain differential equation approach; microwave devices; electromagnetic problems; boundary conditions

Subjects: Electromagnetic waves: theory; Electromagnetic wave propagation; Numerical approximation and analysis; Other numerical methods

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