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Diffraction Grating with Incidence Angle

A diffraction grating is an optical component with a periodic structure, which splits and diffracts light into several beams traveling in different directions. The directions of these beams depend on the spacing of the grating and the wavelength of the light, so that the grating acts as the dispersive element.

The slit diffraction distance times the sum of the sines of the incidence angle of the light and the diffraction angle equals the diffraction order times the wavelength.

Formula

QuantityVariable["d", "Distance"]*(Sin[QuantityVariable["α", "Angle"]] + Sin[QuantityVariable[Subscript["θ", "m"], "Angle"]]) == QuantityVariable["m", "Unitless"]*QuantityVariable["λ", "Wavelength"]

symbol description physical quantity
d slit separation distance "Distance"
α incidence angle "Angle"
θm diffraction angle "Angle"
m diffraction order "Unitless"
λ wavelength "Wavelength"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Diffraction Grating with Incidence Angle"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Diffraction Grating with Incidence Angle"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Diffraction Grating with Incidence Angle"], {QuantityVariable[ "d","Distance"] -> Quantity[0.1`, "Millimeters"], QuantityVariable["\[Lambda]","Wavelength"] -> Quantity[500, "Nanometers"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1673

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