Home |
Search |
Today's Posts |
#11
![]() |
|||
|
|||
![]()
Owen Duffy wrote:
The magnitude of a reflection (zero or otherwise) is *always* and *only* related to whether the ratio of V to I for the "thing" (whether it is another line, a lumped circuit or some combination) attached to the end of the line is equal to Zo. The magnitude is calculated from V/I (Zl) and Zo using a well known expression. I assume you are talking about virtual reflection coefficients based on virtual V/I impedances, something that has gotten hams into conceptual trouble for any number of years. Let's take a look at the S-Parameter equations. Port 1 | Port 2 ---Z0---+---Z1--- a1-- | --a2 --b1 | b2-- b1 = s11*a1 + s12*a2 b2 = s21*a1 + s22*a2 As you probably know, s11 is a *physical* reflection coefficient involving unequal impedances. s11 = (Z1-Z0)/(Z1+Z0) Z0 and Z1 are physical impedances, not virtual impedances, i.e. *NOT* merely a V/I ratio. a1 is the voltage wave incident upon Port 1. s11*a1 is the reflection from Port 1. If Z1 Z0, there exists an impedance discontinuity. s11 0, and s11*a1 0, i.e. there exist reflections. This is why I say: If there is a physical impedance discontinuity, then reflections exist. If reflections are to be canceled, then s12*a2 must be equal in magnitude and 180 degrees out of phase with reflection s11*a1. Note that for reflections to be canceled, they must first exist. s12*a2 is the voltage not reflected from Port 2. All this is covered in HP Application Note 95-1, "S-Parameter Techniques" available from: http://www.sss-mag.com/pdf/an-95-1.pdf -- 73, Cecil http://www.w5dxp.com |
Thread Tools | Search this Thread |
Display Modes | |
|
|
![]() |
||||
Thread | Forum | |||
Caculating VSWR from rho and rho from VSWR | Antenna | |||
Does it matter about packing? | Boatanchors | |||
VSWR Question | Antenna | |||
VSWR Fundamentals | CB | |||
WTB: V-UHF WATTMETER/ VSWR | Swap |