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Fresnel Number

The Fresnel number is the difference, expressed in half-wavelengths, between the slant distance from the observation point to the edge of the aperture and the orthogonal distance from the observation point to the center of the aperture.

The Fresnel number equals the characteristic size squared divided by the product of the distance and wavelength.

Formula

QuantityVariable["F", "FresnelNumber"] == QuantityVariable["a", "Radius"]^2/(QuantityVariable["d", "Distance"]*QuantityVariable["λ", "Wavelength"])

symbol description physical quantity
F Fresnel number "FresnelNumber"
a characteristic size "Radius"
d distance "Distance"
λ wavelength "Wavelength"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Fresnel Number"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Fresnel Number"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Fresnel Number"], {QuantityVariable["F","FresnelNumber"] -> 1, QuantityVariable["d","Distance"] -> Quantity[1, "Meters"], QuantityVariable["\[Lambda]","Wavelength"] -> Quantity[600, "Nanometers"]}]
Out[3]=

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