Clever Geek Handbook
📜 ⬆️ ⬇️

S-parameters

S-parameters (from the English. Scattering - scattering) - the elements of the scattering matrix of a multipole , usually describing a radio device.

Matrix example

(boneb2)=(SelevenS12S21S22)⋅(aonea2){\ displaystyle {\ begin {pmatrix} b_ {1} \\ b_ {2} \ end {pmatrix}} = {\ begin {pmatrix} S_ {11} & S_ {12} \\ S_ {21} & S_ {22} \ end {pmatrix}} \ cdot {\ begin {pmatrix} a_ {1} \\ a_ {2} \ end {pmatrix}}}  

Method of analyzing linear microwave devices using S-parameters

Various types of microwave devices can be described using incident and reflected waves that propagate in the transmission lines connected to them. The relationship between these waves is described by a wave scattering matrix or a matrix of S-parameters.

The properties of a multipole are described using N equations linking the complex amplitudes of the incident and reflected waves.

{bone=Seleven⋅aone+S12⋅a2+...+SoneN⋅aNb2=S21⋅aone+S22⋅a2+...+S2N⋅aN...bN=SNone⋅aone+SN2⋅a2+...+SNN⋅aN{\ displaystyle {\ begin {cases} b_ {1} = S_ {11} \ cdot a_ {1} + S_ {12} \ cdot a_ {2} + \ dots \ + S_ {1N} \ cdot a_ {N} \\ b_ {2} = S_ {21} \ cdot a_ {1} + S_ {22} \ cdot a_ {2} + \ dots \ + S_ {2N} \ cdot a_ {N} \\\ dots \\ b_ {N} = S_ {N1} \ cdot a_ {1} + S_ {N2} \ cdot a_ {2} + \ dots \ + S_ {NN} \ cdot a_ {N} \\\ end {cases}}}  

Where

a 1 , a 2 ... a N - the complex amplitudes of the waves entering the multi-terminal (incident waves);

b 1 b 2 ... b N - the complex amplitudes of the waves emerging from the multipole (reflected waves);

S kk ( k = 1,2, ... n) is the reflection coefficients for the corresponding inputs of a multipole when connecting matched loads equal to R 0 to all other inputs;

Skm(k,m=one,2,...n,k≠m){\ displaystyle S_ {km} \; (k, m = 1,2, \ ldots n, \; k \ neq m)}   - transfer coefficients of the amplitudes of voltage waves from the m-th line to the k-th when connecting matched loads equal to R 0 to all other inputs;

Source - https://ru.wikipedia.org/w/index.php?title=S- parameters&oldid = 95913766


More articles:

  • Asterisk (Causeni district)
  • The Abyss (1989 film)
  • Neveu, Ginette
  • Cat's Eye (film)
  • Johnson, Philip
  • Field Richards, John
  • Tim (film)
  • Fire Birds
  • Latest Outfit
  • Satirikon (film by Federico Fellini)

All articles

Clever Geek | 2019