- #1

Rampart123

- 2

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- TL;DR Summary
- Explaining the matrix elements.

Hello everyone,

A simple ring resonator with a bus waveguide is described by:

$$ \begin{pmatrix} E_{t1}\\ E_{t2} \end{pmatrix} =

\begin{pmatrix} t & k\\ -k^* & t^* \end{pmatrix}

\begin{pmatrix} E_{i1}\\ E_{i2} \end{pmatrix} $$

I do not understand though why we have -k* and t*? Shouldn't they be also k and t?

I think the conjugation has to do with the phase of the circulating mode?

Thank you in advance!

A simple ring resonator with a bus waveguide is described by:

$$ \begin{pmatrix} E_{t1}\\ E_{t2} \end{pmatrix} =

\begin{pmatrix} t & k\\ -k^* & t^* \end{pmatrix}

\begin{pmatrix} E_{i1}\\ E_{i2} \end{pmatrix} $$

I do not understand though why we have -k* and t*? Shouldn't they be also k and t?

I think the conjugation has to do with the phase of the circulating mode?

Thank you in advance!