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Maximum Acceptance Angle of Compound Lens Calculator

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✖Refractive Index of Medium 1 is the ratio of speed of light in vacuum to speed of light in medium 1.ⓘ Refractive Index of Medium 1 [n₁]			+10% -10%
✖Radius of Lens is defined as the distance between the centre of curvature of the lens and the edge of the lens.ⓘ Radius of Lens [R_lens]			+10% -10%
✖Positive Constant is a number greater than zero that does not change with time.ⓘ Positive Constant [A_con]			+10% -10%

✖Acceptance Angle is the maximum angle of an incident ray which allows the incident light to be transmitted within an optical fiber.ⓘ Maximum Acceptance Angle of Compound Lens [θ_acc]

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Maximum Acceptance Angle of Compound Lens Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant))
θ_acc = asin(n₁*R_lens*sqrt(A_con))
This formula uses 3 Functions, 4 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Acceptance Angle - (Measured in Radian) - Acceptance Angle is the maximum angle of an incident ray which allows the incident light to be transmitted within an optical fiber.
Refractive Index of Medium 1 - Refractive Index of Medium 1 is the ratio of speed of light in vacuum to speed of light in medium 1.
Radius of Lens - (Measured in Meter) - Radius of Lens is defined as the distance between the centre of curvature of the lens and the edge of the lens.
Positive Constant - Positive Constant is a number greater than zero that does not change with time.

STEP 1: Convert Input(s) to Base Unit

Refractive Index of Medium 1: 1.5 --> No Conversion Required
Radius of Lens: 0.0025 Meter --> 0.0025 Meter No Conversion Required
Positive Constant: 10000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_acc = asin(n₁*R_lens*sqrt(A_con)) --> asin(1.5*0.0025*sqrt(10000))

Evaluating ... ...

θ_acc = 0.384396774495639

STEP 3: Convert Result to Output's Unit

0.384396774495639 Radian -->22.0243128370463 Degree (Check conversion here)

FINAL ANSWER

22.0243128370463 ≈ 22.02431 Degree <-- Acceptance Angle

(Calculation completed in 00.004 seconds)

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Created by Priyanka G Chalikar

The National Institute Of Engineering (NIE), Mysuru

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Dayananda Sagar College Of Engineering (DSCE), Banglore

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Maximum Acceptance Angle of Compound Lens Formula

LaTeX Go

Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant))
θ_acc = asin(n₁*R_lens*sqrt(A_con))

What is a compound lens?

Compound lenses consist of 2 or more lenses either in contact or separated by small distances. Such compound lenses reduce chromatic and spherical aberration that are typical non-idealities associated with simple lenses.

How to Calculate Maximum Acceptance Angle of Compound Lens?

Maximum Acceptance Angle of Compound Lens calculator uses Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant)) to calculate the Acceptance Angle, The Maximum Acceptance Angle of Compound Lens formula is defined as the maximum angle of an incident ray which allows the incident light to be transmitted within an optical fiber. Acceptance Angle is denoted by θ_acc symbol.

How to calculate Maximum Acceptance Angle of Compound Lens using this online calculator? To use this online calculator for Maximum Acceptance Angle of Compound Lens, enter Refractive Index of Medium 1 (n₁), Radius of Lens (R_lens) & Positive Constant (A_con) and hit the calculate button. Here is how the Maximum Acceptance Angle of Compound Lens calculation can be explained with given input values -> 1261.9 = asin(1.5*0.0025*sqrt(10000)).

FAQ

What is Maximum Acceptance Angle of Compound Lens?

The Maximum Acceptance Angle of Compound Lens formula is defined as the maximum angle of an incident ray which allows the incident light to be transmitted within an optical fiber and is represented as θ_acc = asin(n₁*R_lens*sqrt(A_con)) or Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant)). Refractive Index of Medium 1 is the ratio of speed of light in vacuum to speed of light in medium 1, Radius of Lens is defined as the distance between the centre of curvature of the lens and the edge of the lens & Positive Constant is a number greater than zero that does not change with time.

How to calculate Maximum Acceptance Angle of Compound Lens?

The Maximum Acceptance Angle of Compound Lens formula is defined as the maximum angle of an incident ray which allows the incident light to be transmitted within an optical fiber is calculated using Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant)). To calculate Maximum Acceptance Angle of Compound Lens, you need Refractive Index of Medium 1 (n₁), Radius of Lens (R_lens) & Positive Constant (A_con). With our tool, you need to enter the respective value for Refractive Index of Medium 1, Radius of Lens & Positive Constant 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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