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Lecture handout including QS - Department of Materials Science ...

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BH8 Course B: <strong>Materials</strong> for Devices BH8<br />

Birefringence and Polarized Light Microscopy<br />

Light passing into an optically anisotropic, or birefringent, material is resolved into two components,<br />

along the two permitted vibration directions (PVDs): fast (lower n), with its vibration direction parallel<br />

to the fast direction in the material, and slow (higher n), with its vibration direction parallel to the<br />

slow direction. For example, plane polarized light entering a sample:<br />

A Polarizer defines<br />

the direction <strong>of</strong><br />

polarization <strong>of</strong> the<br />

incident light<br />

2 perpendicular<br />

PVDs in sample<br />

The fast component (lower n) travels faster than the slow component (higher n)! Hence, the two<br />

components take different times to reach the end <strong>of</strong> the sample. Or, put another way, there is an<br />

optical path difference (o.p.d.) between them:<br />

Direction <strong>of</strong><br />

polarization <strong>of</strong><br />

incident light (at 45°<br />

to vertical axis)<br />

o.p.d. = Δn.t<br />

€<br />

As illustrated above, this difference in speed between the fast and slow components leads to a phase<br />

δ<br />

difference, δ, between the light in these two vibration directions:<br />

2π = Δn.t<br />

λ

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