A planar nematic cell of MBBA of thickness and birefringence at is placed between…

PHYSICS · Subjective · Fermi University Physics · Optics & Photonics · Condensed Matter, Materials & Soft Matter · Polarisation and anisotropic media

Soft Matter at the Thermal Scale, Ch Nematic order and the isotropic-nematic transition

Problem

A planar nematic cell of MBBA of thickness d=8 μmd = 8\,\mu\mathrm{m} and birefringence Δn=0.14\Delta n = 0.14 at λ=550 nm\lambda = 550\,\mathrm{nm} is placed between crossed polarisers with the director at ψ=45∘\psi = 45^\circ to the polariser axis. Using I/I0=sin⁡22ψ sin⁡2(πΔn d/λ)I/I_0 = \sin^2 2\psi\,\sin^2(\pi \Delta n\,d/\lambda), calculate the fraction of the incident intensity transmitted.

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