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##\gamma = \theta_1 - \theta_2## where do you get that from?
Thank!
Trigonometric Relationship for Light Passing Through a Slab
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##\gamma = \theta_1 - \theta_2## where do you get that from?
Thank!
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Uh ... simple trig. ##\theta_1 = \theta_2 + \gamma##Callumnc1 said:
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Aah thank @phinds! Brain must have been dead, I see that now :)phinds said:
FAQ: Trigonometric Relationship for Light Passing Through a Slab
What is the basic trigonometric relationship for light passing through a slab?
The basic trigonometric relationship for light passing through a slab is described by Snell's Law, which states that n1 * sin(θ1) = n2 * sin(θ2), where n1 and n2 are the refractive indices of the two media, and θ1 and θ2 are the angles of incidence and refraction, respectively.
How does the thickness of the slab affect the light path?
The thickness of the slab affects the lateral displacement of the light beam as it emerges from the slab. This displacement can be calculated using trigonometric relationships involving the slab thickness, the angle of incidence, and the refractive index of the slab material.
What is the lateral displacement formula for light passing through a slab?
The lateral displacement (d) of light passing through a slab can be calculated using the formula d = t * (sin(θ1 - θ2) / cos(θ2)), where t is the thickness of the slab, θ1 is the angle of incidence, and θ2 is the angle of refraction.
How does the angle of incidence affect the angle of refraction in a slab?
The angle of incidence affects the angle of refraction according to Snell's Law. As the angle of incidence increases, the angle of refraction also changes, depending on the refractive indices of the two media. If the angle of incidence is increased beyond a certain critical angle, total internal reflection may occur.
What happens when light passes through multiple slabs with different refractive indices?
When light passes through multiple slabs with different refractive indices, each interface between different media will cause refraction according to Snell's Law. The overall path of the light beam will be determined by the cumulative effect of these refractions, and the final angle can be calculated by applying Snell's Law at each interface sequentially.