Peak Retardation Calculator

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Devices with Optical Components

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Photonics Devices

✖Wavelength of Light is the distance between consecutive points of a wave with the same phase.ⓘ Wavelength of Light [λ_o]			+10% -10%
✖Length of Fiber refers to the physical distance of an optical fiber.ⓘ Length of Fiber [r]			+10% -10%
✖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.ⓘ Refractive Index [n_ri]			+10% -10%
✖Modulation Voltage is the varying voltage signal applied to a device or system to achieve modulation.ⓘ Modulation Voltage [V_m]			+10% -10%

✖Peak Retardation refers to the maximum value of retardation in an optical system.ⓘ Peak Retardation [Φ_m]

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Formula

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Peak Retardation

Formula

`"Φ"_{"m"} = (2*pi)/"λ"_{"o"}*"r"*"n"_{"ri"}^3*"V"_{"m"}`

Example

`"80.1349rad"=(2*pi)/"3.939m"*"23m"*("1.01")^3*"2.12V"`

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Peak Retardation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage
Φ_m = (2*pi)/λ_o*r*n_ri^3*V_m
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Peak Retardation - (Measured in Radian) - Peak Retardation refers to the maximum value of retardation in an optical system.
Wavelength of Light - (Measured in Meter) - Wavelength of Light is the distance between consecutive points of a wave with the same phase.
Length of Fiber - (Measured in Meter) - Length of Fiber refers to the physical distance of an optical 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.
Modulation Voltage - (Measured in Volt) - Modulation Voltage is the varying voltage signal applied to a device or system to achieve modulation.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Light: 3.939 Meter --> 3.939 Meter No Conversion Required
Length of Fiber: 23 Meter --> 23 Meter No Conversion Required
Refractive Index: 1.01 --> No Conversion Required
Modulation Voltage: 2.12 Volt --> 2.12 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_m = (2*pi)/λ_o*r*n_ri^3*V_m --> (2*pi)/3.939*23*1.01^3*2.12

Evaluating ... ...

Φ_m = 80.1349012054349

STEP 3: Convert Result to Output's Unit

80.1349012054349 Radian --> No Conversion Required

FINAL ANSWER

80.1349012054349 ≈ 80.1349 Radian <-- Peak Retardation

(Calculation completed in 00.004 seconds)

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Created by banuprakash

Dayananda Sagar College of Engineering (DSCE), Bangalore

banuprakash has created this Calculator and 50+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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< 14 Devices with Optical Components Calculators

PN Junction Capacitance

Go Junction Capacitance = PN Junction Area/2*sqrt((2*[Charge-e]*Relative Permittivity*[Permitivity-silicon])/(Voltage Across PN Junction-(Reverse Bias Voltage))*((Acceptor Concentration*Donor Concentration)/(Acceptor Concentration+Donor Concentration)))

Electron Concentration under Unbalanced Condition

Go Electron Concentration = Intrinsic Electron Concentration*exp((Quasi Fermi Level of Electrons-Intrinsic Energy Level of Semiconductor)/([BoltZ]*Absolute Temperature))

Diffusion Length of Transition Region

Go Diffusion Length of Transition Region = Optical Current/(Charge*PN Junction Area*Optical Generation Rate)-(Transition Width+Length of P-Side Junction)

Current Due to Optically Generated Carrier

Go Optical Current = Charge*PN Junction Area*Optical Generation Rate*(Transition Width+Diffusion Length of Transition Region+Length of P-Side Junction)

Peak Retardation

Go Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage

Maximum Acceptance Angle of Compound Lens

Go Acceptance Angle = asin(Refractive Index of Medium 1*Radius of Lens*sqrt(Positive Constant))

Effective Density of States in Conduction Band

Go Effective Density of States = 2*(2*pi*Effective Mass of Electron*[BoltZ]*Absolute Temperature/[hP]^2)^(3/2)

Diffusion Coefficient of Electron

Go Electron Diffusion Coefficient = Mobility of Electron*[BoltZ]*Absolute Temperature/[Charge-e]

Diffraction using Fresnel-Kirchoff Formula

Go Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture)

Fringe Spacing given Apex Angle

Go Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference))

Excitation Energy

Go Excitation Energy = 1.6*10^-19*13.6*(Effective Mass of Electron/[Mass-e])*(1/[Permitivity-silicon]^2)

Brewsters Angle

Go Brewster's Angle = arctan(Refractive Index of Medium 1/Refractive Index)

Angle of Rotation of Plane of Polarization

Go Angle of Rotation = 1.8*Magnetic Flux Density*Length of Medium

Apex Angle

Go Apex Angle = tan(Alpha)

Peak Retardation Formula

Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage
Φ_m = (2*pi)/λ_o*r*n_ri^3*V_m

What are some applications of devices with variable peak retardation?

Devices with variable peak retardation, such as variable waveplates or modulators, are used in optics for applications like controlling the polarization state of light in optical communication systems or imaging systems.

How to Calculate Peak Retardation?

Peak Retardation calculator uses Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage to calculate 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 calculate Peak Retardation using this online calculator? To use this online calculator 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. Here is how the Peak Retardation calculation can be explained with given input values -> 80.1349 = (2*pi)/3.939*23*1.01^3*2.12.

FAQ

What is 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 and is represented as Φ_m = (2*pi)/λ_o*r*n_ri^3*V_m or Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage. Wavelength of Light is the distance between consecutive points of a wave with the same phase, Length of Fiber refers to the physical distance of an optical fiber, 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 & Modulation Voltage is the varying voltage signal applied to a device or system to achieve modulation.

How to calculate 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 is calculated using Peak Retardation = (2*pi)/Wavelength of Light*Length of Fiber*Refractive Index^3*Modulation Voltage. To calculate Peak Retardation, you need Wavelength of Light (λ_o), Length of Fiber (r), Refractive Index (n_ri) & Modulation Voltage (V_m). With our tool, you need to enter the respective value for Wavelength of Light, Length of Fiber, Refractive Index & Modulation Voltage 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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