A beam at a fixed point in space has the normalised Jones vector E = 1 5 pmatrix 3…

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Polarisation and anisotropic media · Polarisation and anisotropic media

Optics and Photonics, Ch Polarisation states, polarisers and the Jones and Stokes calculus

Problem

A beam at a fixed point in space has the normalised Jones vector

\mathbf{E} = \frac{1}{5}\begin{pmatrix}3 \\ -4i\end{pmatrix}

where the physical field is

\mathbf{E}_{\mathrm{phys}}(t) = \mathrm{Re}\left[\mathbf{E}\,e^{i(kz-\omega t)}\right]

. ((a)) Find the amplitudes

E_x

E_y

and the phase difference

\varepsilon

(the phase of the

y

component relative to the

x

component). ((b)) Write the equation of the tip locus and classify the state (linear, circular or elliptical). ((c)) State the handedness under CV6.