Diffraction using Fresnel-Kirchoff Formula Calculator

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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%
✖Diameter of Aperture is the diameter of the circular aperture (of the light source) in diffraction of light.ⓘ Diameter of Aperture [D]			+10% -10%

✖Diffraction Angle is the angle of deviation of light from its straight line.ⓘ Diffraction using Fresnel-Kirchoff Formula [θ_dif]

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Formula

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Diffraction using Fresnel-Kirchoff Formula

Formula

`"θ"_{"dif"} = asin(1.22*"λ"_{"vis"}/"D")`

Example

`"0.0061rad"=asin(1.22*"500nm"/"0.1mm")`

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Diffraction using Fresnel-Kirchoff Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture)
θ_dif = asin(1.22*λ_vis/D)
This formula uses 2 Functions, 3 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)

Variables Used

Diffraction Angle - (Measured in Radian) - Diffraction Angle is the angle of deviation of light from its straight line.
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.
Diameter of Aperture - (Measured in Meter) - Diameter of Aperture is the diameter of the circular aperture (of the light source) in diffraction of light.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Visible Light: 500 Nanometer --> 5E-07 Meter (Check conversion here)
Diameter of Aperture: 0.1 Millimeter --> 0.0001 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_dif = asin(1.22*λ_vis/D) --> asin(1.22*5E-07/0.0001)

Evaluating ... ...

θ_dif = 0.00610003783080013

STEP 3: Convert Result to Output's Unit

0.00610003783080013 Radian --> No Conversion Required

FINAL ANSWER

0.00610003783080013 ≈ 0.0061 Radian <-- Diffraction Angle

(Calculation completed in 00.004 seconds)

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Credits

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

Santhosh Yadav has verified this Calculator and 50+ more calculators!

< 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)

Diffraction using Fresnel-Kirchoff Formula Formula

Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture)
θ_dif = asin(1.22*λ_vis/D)

What is the The Rayleigh criterion ?

This formula is also known to give the Rayleigh criterion for resolution that gives the minimum diameter of aperture required to resolve an image undergoing diffraction.

How to Calculate Diffraction using Fresnel-Kirchoff Formula?

Diffraction using Fresnel-Kirchoff Formula calculator uses Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture) to calculate the Diffraction Angle, The Diffraction using Fresnel-Kirchoff Formula gives the measure of diffraction as an angle deduced using the Fresnel-Kirchoff formula. Diffraction Angle is denoted by θ_dif symbol.

How to calculate Diffraction using Fresnel-Kirchoff Formula using this online calculator? To use this online calculator for Diffraction using Fresnel-Kirchoff Formula, enter Wavelength of Visible Light (λ_vis) & Diameter of Aperture (D) and hit the calculate button. Here is how the Diffraction using Fresnel-Kirchoff Formula calculation can be explained with given input values -> 0.0061 = asin(1.22*5E-07/0.0001).

FAQ

What is Diffraction using Fresnel-Kirchoff Formula?

The Diffraction using Fresnel-Kirchoff Formula gives the measure of diffraction as an angle deduced using the Fresnel-Kirchoff formula and is represented as θ_dif = asin(1.22*λ_vis/D) or Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture). 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 & Diameter of Aperture is the diameter of the circular aperture (of the light source) in diffraction of light.

How to calculate Diffraction using Fresnel-Kirchoff Formula?

The Diffraction using Fresnel-Kirchoff Formula gives the measure of diffraction as an angle deduced using the Fresnel-Kirchoff formula is calculated using Diffraction Angle = asin(1.22*Wavelength of Visible Light/Diameter of Aperture). To calculate Diffraction using Fresnel-Kirchoff Formula, you need Wavelength of Visible Light (λ_vis) & Diameter of Aperture (D). With our tool, you need to enter the respective value for Wavelength of Visible Light & Diameter of Aperture 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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