Some aspects of stability and numerical dissipation of the finite-difference time-domain (FDTD) technique including passive and active lumped elements Academic Article

abstract

• This paper presents a stability analysis of the extended finite-difference time-domain method including passive and active devices. An explicit, implicit, and semi-implicit incorporation of lumped elements is investigated and the eigenvalues of the resulting discrete system are discussed. With the underlying assumption that the domain is homogeneously loaded with lumped elements, stability criteria are derived on the basis of a resistance, a conductance, and an inductance. Applying a fully implicit method, a parasitic resistance can be observed when reactive devices are included. For an inductance, this numerical dissipation is characterized in detail and an equivalent circuit is given. As an example, the impact on the quality (Q) factor of a cavity loaded with an inductance is shown and compared to the theoretical derivation.

authors

• Katehi, Linda

published proceedings

• IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES

altmetric score

• 3

author list (cited authors)

• Thiel, W., & Katehi, L.

citation count

• 32

complete list of authors

• Thiel, W||Katehi, LPB

publication date

• September 2002

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Microwave Theory and Techniques  Journal

keywords

• Fdtd
• Integration Techniques
• Lumped Elements
• Numerical Dissipation
• Numerical Stability
• Waveguide Resonator

Digital Object Identifier (DOI)

• 10.1109/TMTT.2002.802330

start page

• 2159

end page

• 2165

volume

• 50

issue

• 9

URL

• http://dx.doi.org/10.1109/tmtt.2002.802330