Fringe Spacing given Apex Angle Calculator

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Devices with Optical Components

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✖Wavelength of Visible Light is the band of wavelengths in the range 400nm - 800nm of the electromagnetic spectrum that is visible to the human eye.ⓘ Wavelength of Visible Light [λ_vis]			+10% -10%
✖Angle Of Interference is the angle formed when the two light waves converge during interference.ⓘ Angle of Interference [α_opto]			+10% -10%

✖Fringe Space is defined as the distance between 2 fringes obtained during the Young's double slit experiment demonstrating interference of light waves.ⓘ Fringe Spacing given Apex Angle [S_fri]

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Fringe Spacing given Apex Angle

Formula

`"S"_{"fri"} = "λ"_{"vis"}/(2*tan("α"_{"opto"}))`

Example

`"1.41782μ"="500nm"/(2*tan("10°"))`

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Fringe Spacing given Apex Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference))
S_fri = λ_vis/(2*tan(α_opto))
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Fringe Space - (Measured in Meter) - Fringe Space is defined as the distance between 2 fringes obtained during the Young's double slit experiment demonstrating interference of light waves.
Wavelength of Visible Light - (Measured in Meter) - Wavelength of Visible Light is the band of wavelengths in the range 400nm - 800nm of the electromagnetic spectrum that is visible to the human eye.
Angle of Interference - (Measured in Radian) - Angle Of Interference is the angle formed when the two light waves converge during interference.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Visible Light: 500 Nanometer --> 5E-07 Meter (Check conversion here)
Angle of Interference: 10 Degree --> 0.1745329251994 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_fri = λ_vis/(2*tan(α_opto)) --> 5E-07/(2*tan(0.1745329251994))

Evaluating ... ...

S_fri = 1.4178204549047E-06

STEP 3: Convert Result to Output's Unit

1.4178204549047E-06 Meter -->1.4178204549047 Micron (Check conversion here)

FINAL ANSWER

1.4178204549047 ≈ 1.41782 Micron <-- Fringe Space

(Calculation completed in 00.004 seconds)

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Created by Priyanka G Chalikar

The National Institute Of Engineering (NIE), Mysuru

Priyanka G Chalikar has created this Calculator and 10+ 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)

Fringe Spacing given Apex Angle Formula

Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference))
S_fri = λ_vis/(2*tan(α_opto))

When to use this equation?

Fringe spacing is usually calculated using D, distance between slits. This formula provides an
alternate expression using apex angle α.

How to Calculate Fringe Spacing given Apex Angle?

Fringe Spacing given Apex Angle calculator uses Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference)) to calculate the Fringe Space, The Fringe Spacing given Apex Angle formula is defined as the distance between fringes obtained during interference of two light waves, given the apex angle. Fringe Space is denoted by S_fri symbol.

How to calculate Fringe Spacing given Apex Angle using this online calculator? To use this online calculator for Fringe Spacing given Apex Angle, enter Wavelength of Visible Light (λ_vis) & Angle of Interference (α_opto) and hit the calculate button. Here is how the Fringe Spacing given Apex Angle calculation can be explained with given input values -> 1.4E+6 = 5E-07/(2*tan(0.1745329251994)).

FAQ

What is Fringe Spacing given Apex Angle?

The Fringe Spacing given Apex Angle formula is defined as the distance between fringes obtained during interference of two light waves, given the apex angle and is represented as S_fri = λ_vis/(2*tan(α_opto)) or Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference)). Wavelength of Visible Light is the band of wavelengths in the range 400nm - 800nm of the electromagnetic spectrum that is visible to the human eye & Angle Of Interference is the angle formed when the two light waves converge during interference.

How to calculate Fringe Spacing given Apex Angle?

The Fringe Spacing given Apex Angle formula is defined as the distance between fringes obtained during interference of two light waves, given the apex angle is calculated using Fringe Space = Wavelength of Visible Light/(2*tan(Angle of Interference)). To calculate Fringe Spacing given Apex Angle, you need Wavelength of Visible Light (λ_vis) & Angle of Interference (α_opto). With our tool, you need to enter the respective value for Wavelength of Visible Light & Angle of Interference 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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