(a) Unpolarised light of irradiance falls on three ideal linear polarising sheets in…

PHYSICS · Subjective · 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) Unpolarised light of irradiance

I_0 = 100\ \mathrm{W\,m^{-2}}

falls on three ideal linear polarising sheets in series, with transmission axes at

0^\circ

60^\circ

and

90^\circ

to a fixed reference direction. Find the irradiance transmitted by the third sheet. (b) A beam has field components

E_x = 2

(arbitrary units) along

x

and

E_y = 1

along

y

, with the

y

component delayed by a quarter cycle (

\varepsilon = \pi/2

) relative to

x

. Write its normalised Jones vector under the book's conventions (CV3, CV6). (c) Six irradiance measurements on a beam give

I_{0^\circ}=0.6\ \mathrm{W\,m^{-2}}

I_{90^\circ}=0.2\ \mathrm{W\,m^{-2}}

I_{45^\circ}=0.3\ \mathrm{W\,m^{-2}}

I_{135^\circ}=0.5\ \mathrm{W\,m^{-2}}

I_R=0.35\ \mathrm{W\,m^{-2}}

I_L=0.45\ \mathrm{W\,m^{-2}}

. Find the four Stokes parameters (under CV7) and the degree of polarisation.