What does Δn mean in birefringence calculations?

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rwooduk
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I finally understand the principle of being able to imagine light as having 2 perpendicular components of electric field, to use an analogy from an earlier thread, its just as a weight on a slope may be considered to have 2 componants.

Anyway, for this example nx = ny = no and nz = ne. Light is traveling in the y direction therefore the perpendicular E components will be subject to nx and ne i.e. there will be birefringence.

My question is the question asks for Δn and I am unsure what this means. Do I just find a term for nx - ne?

Please see attached images to visualise the problem, 1 shows the problem, 2 shows the working for a similar problem, thanks in advance.


p.s. this is not part of any assessed homework

 
Attachments
  • Two ellipse diagrams of refractive index with z and y axes, labelled Example and Exercise. Left: n_e along z, n_o along y, light along z, no birefringence. Right: rotated optic axis at angle θ, with the question of whether birefringence occurs when light travels in the y direction.
    1.jpg
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  • Handwritten-style set of equations titled Eqn. for ellipse: equation [1] y'^2/n_o^2 + z'^2/n_e^2 = 1, [2] y'/n_e(θ) = cos θ, [3] z'/n_e(θ) = sin θ, and a boxed result 1/n_e^2(θ) = cos^2 θ/n_o^2 + sin^2 θ/n_e^2.
    2.jpg
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