Diffraction Intensity Ratio for Circular Aperture Diffraction

The diffraction intensity ratio is the ratio between intensity at a given angle and the incident intensity of light passing through a circular aperture.

The diffraction intensity ratio depends on the wavelength, diffraction angle and radius of the circular aperture.

Formula

QuantityVariable[Subscript[Style["I", Italic], "θ"]/Subscript[Style["I", Italic], "0"], "Unitless"] == (BesselJ[1, (2*Pi*QuantityVariable["a", "Distance"]*Sin[QuantityVariable["θ", "Angle"]])/QuantityVariable["λ", "Wavelength"]]^2*Csc[QuantityVariable["θ", "Angle"]]^2*QuantityVariable["λ", "Wavelength"]^2)/(Pi^2*QuantityVariable["a", "Distance"]^2)

symbol	description	physical quantity
I_θ/I₀	normalized transmitted intensity	"Unitless"
a	aperture radius	"Distance"
λ	wavelength	"Wavelength"
θ	diffraction angle	"Angle"

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Get the resource:

In[1]:=

$ResourceObject["Diffraction Intensity Ratio for Circular Aperture \ Diffraction"]$

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Get the formula:

In[2]:=

$FormulaData[ ResourceObject[ "Diffraction Intensity Ratio for Circular Aperture Diffraction"]]$

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Use some values:

In[3]:=

$FormulaData[ ResourceObject[ "Diffraction Intensity Ratio for Circular Aperture Diffraction"], \ {QuantityVariable["\[Lambda]","Wavelength"] -> Quantity[500, "Nanometers"]}]$

Out[3]=

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Diffraction Intensity Ratio for Circular Aperture Diffraction

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