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Maximum Acceptance Angle of Compound Lens Formula

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Acceptance Angle is the maximum angle of an incident ray which allows the incident light to be transmitted within an optical fiber. Check FAQs

θ acc = a \sin (n 1 \cdot R lens \cdot \sqrt{A con})

θ_acc - Acceptance Angle?n₁ - Refractive Index of Medium 1?R_lens - Radius of Lens?A_con - Positive Constant?

Maximum Acceptance Angle of Compound Lens Example

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Here is how the Maximum Acceptance Angle of Compound Lens equation looks like with Values.

Here is how the Maximum Acceptance Angle of Compound Lens equation looks like with Units.

Here is how the Maximum Acceptance Angle of Compound Lens equation looks like.

22.0243 = a \sin (1.5 \cdot 0.0025 \cdot \sqrt{10000})

22.0243° = a \sin (1.5 \cdot 0.0025m \cdot \sqrt{10000})

22.0243 = a \sin (1.5 \cdot 0.0025 \cdot \sqrt{10000})

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Maximum Acceptance Angle of Compound Lens Solution

Follow our step by step solution on how to calculate Maximum Acceptance Angle of Compound Lens?

FIRST Step Consider the formula

θ acc = a \sin (n 1 \cdot R lens \cdot \sqrt{A con})

Next Step Substitute values of Variables

∴

θ acc = a \sin (1.5 \cdot 0.0025m \cdot \sqrt{10000})

Next Step Prepare to Evaluate

∴

θ acc = a \sin (1.5 \cdot 0.0025 \cdot \sqrt{10000})

Next Step Evaluate

∴

θ acc = 0.384396774495639rad

Next Step Convert to Output's Unit

∴

θ acc = 22.0243128370463°

LAST Step Rounding Answer

∴

θ acc = 22.0243°

Maximum Acceptance Angle of Compound Lens Formula Elements

Variables

Functions

Acceptance Angle

Acceptance Angle is the maximum angle of an incident ray which allows the incident light to be transmitted within an optical fiber.

Symbol: θ_acc

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Acceptance Angle

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.

Symbol: n₁

Measurement: NAUnit: Unitless

Note: Value should be between 1 to 3.

Formulas to find Refractive Index of Medium 1

Radius of Lens

Radius of Lens is defined as the distance between the centre of curvature of the lens and the edge of the lens.

Symbol: R_lens

Measurement: LengthUnit: m

Note: Value should be less than 8.

Formulas to find Radius of Lens

Positive Constant

Positive Constant is a number greater than zero that does not change with time.

Symbol: A_con

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Positive Constant

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.

Syntax: 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.

Syntax: 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.

Syntax: sqrt(Number)

Other formulas in Devices with Optical Components category

Go Angle of Rotation of Plane of Polarization

θ = 1.8 \cdot B \cdot L m

Go Apex Angle

A = \tan (α)

Go Brewsters Angle

θ B = \arctan (\frac{n 1}{n ri})

Go Current Due to Optically Generated Carrier

i opt = q \cdot A pn \cdot g op \cdot (W + L dif + L p)

How to Evaluate Maximum Acceptance Angle of Compound Lens?

Maximum Acceptance Angle of Compound Lens evaluator uses Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant)) to evaluate 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 evaluate Maximum Acceptance Angle of Compound Lens using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Acceptance Angle of Compound Lens

What is the formula to find Maximum Acceptance Angle of Compound Lens?

The formula of Maximum Acceptance Angle of Compound Lens is expressed as Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant)). Here is an example- 1261.9 = asin(1.5*0.0025*sqrt(10000)).

How to calculate Maximum Acceptance Angle of Compound Lens?

With Refractive Index of Medium 1 (n₁), Radius of Lens (R_lens) & Positive Constant (A_con) we can find Maximum Acceptance Angle of Compound Lens using the formula - Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant)). This formula also uses Sine (sin)Inverse Sine (asin), Square Root (sqrt) function(s).

Can the Maximum Acceptance Angle of Compound Lens be negative?

No, the Maximum Acceptance Angle of Compound Lens, measured in Angle cannot be negative.

Which unit is used to measure Maximum Acceptance Angle of Compound Lens?

Maximum Acceptance Angle of Compound Lens is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Maximum Acceptance Angle of Compound Lens can be measured.

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