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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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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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Created by Priyanka G Chalikar

The National Institute Of Engineering (NIE), Mysuru

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Dayananda Sagar College Of Engineering (DSCE), Banglore

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Diffraction using Fresnel-Kirchoff Formula Formula

LaTeX Go

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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