Write a first general equation giving the angle of refraction (r) as a function of the angle of incidence (i) on a rectangular piece of acrylic and the refractive index (n) of the acrylic. - Write down a second general equation giving the lateral deviation (d) of an incident beam as a function of the angle of incidence (i), the angle of refraction (r) and the thickness (e) of the rectangular piece of acrylic. Note that there are two ways of calculating &, which give two mathematically equivalent equations. Using the relationships you've just obtained, calculate the lateral deviation for the following fictitious situation: angle of incidence i = 45°, acrylic refractive index = 1.49 +- 0.01 and blade thickness e = 6.5 cm.
Establish the relevant theoretical model:
- Write a first general equation giving the angle of refraction (r) as a function of the angle of incidence (i) on a rectangular piece of acrylic and the refractive index (n) of the acrylic.
- Write down a second general equation giving the lateral deviation (d)
of an incident beam as a function of the angle of incidence (i), the angle of refraction (r) and the thickness (e) of the rectangular piece of acrylic. Note that there are two ways of calculating &, which give two mathematically equivalent equations.
Using the relationships you've just obtained, calculate the lateral deviation for the following fictitious situation: angle of incidence i = 45°, acrylic refractive index = 1.49 +- 0.01 and blade thickness e = 6.5 cm.
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