Power Splitter Model

The Power Splitter model is an analytical model that simulates an ideal 3-port power splitter or Y junction. Its S matrix is modeled as:

$S = \begin{bmatrix} r_0 & t & t \\ t & r_1 & i \\ t & i & r_1 \end{bmatrix}$

The first port in the S matrix is considered the primary port of the device (port A in the schematic), which presents the primary reflection coefficient $r_0$.

The second and third ports are the secondary ports (B and C in the schematic), with reflection coefficient $r_1$ and isolation coefficient $i$ among them.

The transmission between the primary and any of the secondaries ports is $t$.

Multimode ports

In the case of multimode ports, the 3 ports must support the same number of modes. All coefficients must be specified as sequences with one value for each port mode. This model does not include mode mixing, i.e., all cross-coupling coefficients are zero.