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Rayleigh Criterion Angle 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 sine of the Rayleigh criterion angle is directly proportional to the wavelength and inversely proportional to aperture radius.

Formula

Sin[QuantityVariable[Subscript["θ", "R"], "Angle"]] == (BesselJZero[1, 1]*QuantityVariable["λ", "Wavelength"])/(2*Pi*QuantityVariable["a", "Distance"])

symbol description physical quantity
θR Rayleigh criterion angle "Angle"
a aperture radius "Distance"
λ wavelength "Wavelength"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Rayleigh Criterion Angle for Circular Aperture \ Diffraction"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Rayleigh Criterion Angle for Circular Aperture Diffraction"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Rayleigh Criterion Angle for Circular Aperture Diffraction"], \ {QuantityVariable["a","Distance"] -> Quantity[0.01`, "Millimeters"]}]
Out[3]=

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