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Peak Retardation Formula

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Peak Retardation refers to the maximum value of retardation in an optical system. Check FAQs

Φ m = \frac{2 \cdot π}{λ o} \cdot r \cdot {n ri}^{3} \cdot V m

Φ_m - Peak Retardation?λ_o - Wavelength of Light?r - Length of Fiber?n_ri - Refractive Index?V_m - Modulation Voltage?π - Archimedes' constant?

Peak Retardation Example

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Here is how the Peak Retardation equation looks like with Values.

Here is how the Peak Retardation equation looks like with Units.

Here is how the Peak Retardation equation looks like.

80.1349 = \frac{2 \cdot 3.1416}{3.939} \cdot 23 \cdot {1.01}^{3} \cdot 2.12

80.1349rad = \frac{2 \cdot 3.1416}{3.939m} \cdot 23m \cdot {1.01}^{3} \cdot 2.12V

80.1349 = \frac{2 \cdot 3.1416}{3.939} \cdot 23 \cdot {1.01}^{3} \cdot 2.12

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Peak Retardation Solution

Follow our step by step solution on how to calculate Peak Retardation?

FIRST Step Consider the formula

Φ m = \frac{2 \cdot π}{λ o} \cdot r \cdot {n ri}^{3} \cdot V m

Next Step Substitute values of Variables

∴

Φ m = \frac{2 \cdot π}{3.939m} \cdot 23m \cdot {1.01}^{3} \cdot 2.12V

Next Step Substitute values of Constants

∴

Φ m = \frac{2 \cdot 3.1416}{3.939m} \cdot 23m \cdot {1.01}^{3} \cdot 2.12V

Next Step Prepare to Evaluate

∴

Φ m = \frac{2 \cdot 3.1416}{3.939} \cdot 23 \cdot {1.01}^{3} \cdot 2.12

Next Step Evaluate

∴

Φ m = 80.1349012054349rad

LAST Step Rounding Answer

∴

Φ m = 80.1349rad

Peak Retardation Formula Elements

Variables

Constants

Peak Retardation

Peak Retardation refers to the maximum value of retardation in an optical system.

Symbol: Φ_m

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Peak Retardation

Wavelength of Light

Wavelength of Light is the distance between consecutive points of a wave with the same phase.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wavelength of Light

Length of Fiber

Length of Fiber refers to the physical distance of an optical fiber.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Fiber

Refractive Index

Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.

Symbol: n_ri

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index

Modulation Voltage

Modulation Voltage is the varying voltage signal applied to a device or system to achieve modulation.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Modulation Voltage

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Peak Retardation?

Peak Retardation evaluator uses Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage to evaluate the Peak Retardation, The Peak Retardation formula is defined as the maximum value of retardation in an optical system, especially in the context of devices like waveplates or retarders. Peak Retardation is denoted by Φ_m symbol.

How to evaluate Peak Retardation using this online evaluator? To use this online evaluator for Peak Retardation, enter Wavelength of Light (λ_o), Length of Fiber (r), Refractive Index (n_ri) & Modulation Voltage (V_m) and hit the calculate button.

FAQs on Peak Retardation

What is the formula to find Peak Retardation?

The formula of Peak Retardation is expressed as Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage. Here is an example- 80.1349 = (2*pi)/3.939*23*1.01^3*2.12.

How to calculate Peak Retardation?

With Wavelength of Light (λ_o), Length of Fiber (r), Refractive Index (n_ri) & Modulation Voltage (V_m) we can find Peak Retardation using the formula - Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage. This formula also uses Archimedes' constant .

Can the Peak Retardation be negative?

No, the Peak Retardation, measured in Angle cannot be negative.

Which unit is used to measure Peak Retardation?

Peak Retardation is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Peak Retardation can be measured.

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Peak Retardation Formula

Peak Retardation Example

Peak Retardation Solution

Peak Retardation Formula Elements

Other formulas in Devices with Optical Components category

How to Evaluate Peak Retardation?

FAQs on Peak Retardation

Variable Name