Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...
Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...
Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...
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Central Difference Quotient (Leap Frog)<br />
Regard the loss-free case, i.e. σ = 0, where λ A,i = j ω i :<br />
λ<br />
Gi ,<br />
( t λ<br />
, )<br />
⎛<br />
Ai ( t λ<br />
Ai , )<br />
2 2<br />
2+ Δ ⋅ 2+ Δ ⋅ ⎞<br />
= ± ⎜<br />
⎟ −1<br />
2 ⎜ 2 ⎟<br />
⎝<br />
⎠<br />
( jω<br />
t) ⎛ ( jω<br />
t)<br />
2 2<br />
2+ i<br />
⋅Δ 2+ ⎞<br />
i<br />
⋅Δ<br />
= ± −1<br />
2 ⎜ 2 ⎟<br />
⎝<br />
⎠<br />
2<br />
2<br />
Dependingon thesignwegettwobranchesof theOrtskurve<br />
bothstartingatλ G = 1 which results from ωΔt = 0<br />
Each branch runs in one half of unit circle<br />
ending at λ G = - 1 which corresponds to | ωΔt | = 2<br />
Prof. Dr. Ursula van Rienen, <strong>Uni</strong>versität <strong>Rostock</strong>, Fakultät <strong>für</strong> Informatik und <strong>Elektrotechnik</strong> (IEF), <strong>Institut</strong> <strong>für</strong> <strong>Allgemeine</strong> <strong>Elektrotechnik</strong> (IAE)<br />
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