Sstep11 (s) =

1

s

s L� Z0

4Z0 + 4s L

S11(s) =ZL(s)� Z0

ZL(s) + Z0=

s L� Z0

4Z0 + 4s L

Sstep11 (t) = �1

4+

1

2e�t/⌧

0.25

-0.25

⌧ =L

Z0

Inductanceandpowersplitter

Time

Exampleofstepresponse

⌧ = (R k Z0)C

⌧ =L

R k Z0

⌧ =L

Z0

⌧ = Z0C

Sstep11 (t) =

R� Z0 � 2R e�t/⌧

R+ Z0

Sstep11 (t) = 2

R

R+ Z0e�t/⌧ � 1

Sstep11 (t) = �1

4+

1

2e�t/⌧

Sstep11 (t) =

1

4� 1

2e�t/⌧

Inductance

Time(ns)

⌧ =L

Z0

Sstep11 (t) = 2e�(t�t0)/⌧ � 1

Inductance

Time(ns)

⌧ =L

Z0

Sstep11 (t) = 2e�(t�t0)/⌧ � 1

e�(t�t0)/⌧ =Sstep11 (t) + 1

2

t� t0⌧

= ln

Sstep11 (t) + 1

2

!

⌧ = 1/p = L/Z0 u(⌧) =u(p)

p2

Exampleofstepresponse