Ray Optics Critical Angle Calculator

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Fiber Design Characteristics

Fiber Modelling Parameters

✖Refractive Index Releasing Medium refers to the ratio of the speed of light in a vacuum to the speed of light in the medium that the light ray is approaching the interface from.ⓘ Refractive Index Releasing Medium [η_r]			+10% -10%
✖Refractive Index Incident Medium refers to the ratio of the speed of light in a vacuum to the speed of light in the medium that the light ray is incident on.ⓘ Refractive Index Incident Medium [η_i]			+10% -10%

✖Critical Angle is the angle of incidence beyond which rays of light passing through a denser medium to the surface of a less dense medium are no longer refracted but totally reflected.ⓘ Ray Optics Critical Angle [θ]

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Formula

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Ray Optics Critical Angle

Formula

`"θ" = sin("η"_{"r"}/"η"_{"i"})^-1`

Example

`"64.34865°"=sin("1.23"/"1.12")^-1`

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Ray Optics Critical Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1
θ = sin(η_r/η_i)^-1
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Critical Angle - (Measured in Radian) - Critical Angle is the angle of incidence beyond which rays of light passing through a denser medium to the surface of a less dense medium are no longer refracted but totally reflected.
Refractive Index Releasing Medium - Refractive Index Releasing Medium refers to the ratio of the speed of light in a vacuum to the speed of light in the medium that the light ray is approaching the interface from.
Refractive Index Incident Medium - Refractive Index Incident Medium refers to the ratio of the speed of light in a vacuum to the speed of light in the medium that the light ray is incident on.

STEP 1: Convert Input(s) to Base Unit

Refractive Index Releasing Medium: 1.23 --> No Conversion Required
Refractive Index Incident Medium: 1.12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = sin(η_r/η_i)^-1 --> sin(1.23/1.12)^-1

Evaluating ... ...

θ = 1.12309585858299

STEP 3: Convert Result to Output's Unit

1.12309585858299 Radian -->64.3486526854391 Degree (Check conversion here)

FINAL ANSWER

64.3486526854391 ≈ 64.34865 Degree <-- Critical Angle

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 12 Fiber Design Characteristics Calculators

Normalised Propagation Constant

Go Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding)

Delta Parameter

Go Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2)

Ray Optics Critical Angle

Go Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1

Numerical Aperture

Go Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2))

Refractive Index of Fiber Core

Go Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2)

Refractive Index of Cladding

Go Refractive Index of Cladding = sqrt(Refractive Index of Core^2-Numerical Aperture^2)

Optical Pulse Duration

Go Optical Pulse Duration = Length of Fiber*Optical Fiber Dispersion*Gaussian Pulse

Graded Index Length of Fiber

Go Grade Index Fiber = Length of Fiber*Refractive Index of Core

Plane Wave Velocity

Go Plane Wave Velocity = Angular Velocity/Propagation Constant

Phase Velocity in Optic Fiber

Go Phase Velocity = [c]/Effective Index of Mode

Normalized Frequency

Go Normalized Frequency = sqrt(2*Number of Modes)

Group Delay

Go Group Velocity = Length of Fiber/Group Delay

Ray Optics Critical Angle Formula

Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1
θ = sin(η_r/η_i)^-1

Is critical angle always 90 degrees?

As the angle of incidence increases, the angle of refraction gets closer to ninety degrees. At any angle of incidence greater than the critical angle, the light cannot pass through the surface - it is all reflected.

How to Calculate Ray Optics Critical Angle?

Ray Optics Critical Angle calculator uses Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1 to calculate the Critical Angle, The Ray Optics Critical Angle formula is the angle of incidence at which a light ray traveling from a medium with a higher refractive index (ni) to a medium with a lower refractive index (nr) undergoes total internal reflection at the interface. It is a fundamental concept in optics that describes the boundary condition for light propagation between different media. Critical Angle is denoted by θ symbol.

How to calculate Ray Optics Critical Angle using this online calculator? To use this online calculator for Ray Optics Critical Angle, enter Refractive Index Releasing Medium (η_r) & Refractive Index Incident Medium (η_i) and hit the calculate button. Here is how the Ray Optics Critical Angle calculation can be explained with given input values -> 3686.906 = sin(1.23/1.12)^-1.

FAQ

What is Ray Optics Critical Angle?

The Ray Optics Critical Angle formula is the angle of incidence at which a light ray traveling from a medium with a higher refractive index (ni) to a medium with a lower refractive index (nr) undergoes total internal reflection at the interface. It is a fundamental concept in optics that describes the boundary condition for light propagation between different media and is represented as θ = sin(η_r/η_i)^-1 or Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1. Refractive Index Releasing Medium refers to the ratio of the speed of light in a vacuum to the speed of light in the medium that the light ray is approaching the interface from & Refractive Index Incident Medium refers to the ratio of the speed of light in a vacuum to the speed of light in the medium that the light ray is incident on.

How to calculate Ray Optics Critical Angle?

The Ray Optics Critical Angle formula is the angle of incidence at which a light ray traveling from a medium with a higher refractive index (ni) to a medium with a lower refractive index (nr) undergoes total internal reflection at the interface. It is a fundamental concept in optics that describes the boundary condition for light propagation between different media is calculated using Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1. To calculate Ray Optics Critical Angle, you need Refractive Index Releasing Medium (η_r) & Refractive Index Incident Medium (η_i). With our tool, you need to enter the respective value for Refractive Index Releasing Medium & Refractive Index Incident Medium and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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