Jones matrix
= Jones matrix
{c}
{title2=$\mathbf J_{\rm out}=M\mathbf J_{\rm in}$}
A <Jones matrix> is a complex two-by-two linear transformation of a <Jones vector> through a deterministic nondepolarizing optical element. Successive elements multiply in reverse reading order. An ideal linear <polarizer> along a real transverse <unit vector> $\mathbf a$ has matrix $\mathbf a\mathbf a^{\mathsf T}$. A common nonzero scalar phase does not change the output <polarization of waves>.