Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
critical angle = [tex]i_{cr}[/tex] = 73.7°
total internal reflection = [tex]\alpha[/tex]cr = 54.58°
Given:
refractive index of core, [tex]n_{core}[/tex] = 1.46
refractive index of clad, [tex]n_{clad}[/tex] = 1.4
The incidence angle that causes the refraction angle to be equal to that at that angle of incidence is known as the critical angle.
The incidence angle needs to be greater than the critical angle for Total Internal Reflection to happen.
Now, we know that the critical angle = θcr is given by:
sinθcr = [tex]\frac{n_{clad} }{n_{core} }[/tex]
θcr = [tex]sin^{-1}[/tex] ([tex]\frac{n_{clad} }{n_{core} }[/tex])
θcr = [tex]sin^{-1}[/tex] ([tex]\frac{1.4}{1.46}[/tex])
= [tex]sin^{-1}[/tex](0.96)
=73.7° = [tex]i_{cr}[/tex]
Now for [tex]\alpha[/tex]cr:
[tex]sini_{cr}[/tex]/[tex]sin\alpha _{cr}[/tex] = 1/[tex]n_{core}[/tex]
[tex]sin\alpha _{cr}[/tex] = sin(90° - 73.7°) × 1.46
[tex]sin\alpha _{cr}[/tex] = sin(16.3°) × 1.46
=-0.558 × 1.46
=-0.815
[tex]\alpha _{cr}[/tex] = [tex]sin^{-1}[/tex](0.815)
= 54.58°
What is total internal reflection?
- full refraction of a light ray from the surrounding surfaces back into a medium like glass or water.
- If the incidence angle exceeds a specific limitation angle known as the critical angle, the phenomenon will manifest.
Why is total internal reflection termed that?
Total internal reflection means that none of the light that might conceivably travel away from this surface is refracted and that all of it is reflected.
To learn more about total internal reflection visit:
https://brainly.com/question/13088998
#SPJ4
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
