Anritsu MS2024A/MS2026A - F-1 VNA Master Formulas

MS20xxA VNA Master UG 10580-00166 Rev. C F-1
Appendix F — Formulas
F-1 VNA Master Formulas
The following formulas can be used with the VNA Master.
Reflection Coefficient
Reflection coefficient is the ratio of the amplitude of the reflected wave to the incident wave.
Return Loss
VSWR
Smith Chart
Electrical Length
The length of the cable as seen by the electrical signal. The electrical length is always greater
than 1 for practical dielectric materials.
Reflection Coefficient ρ=
where: 0 ρ 1≤≤
Return Loss (dB) 20 ρlog–=
where: 0 Return Loss ∞<≤
VSWR
1 ρ+()
1 ρ–()
------------------=
where: 1 VSWR ∞<≤
Smith Chart: z r jx+=
ρ
z1–()
z1+()
-----------------=
Electrical Length L=
el
L
mech
ε×=
10580-00166C.book Page 1 Thursday, February 21, 2008 12:52 PM