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Snell's Law

Snell's law is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media.

The index of refraction of the first medium times the sine of the angle of incidence equals the index of refraction of the second medium times the sine of the angle of refraction.

Formula

QuantityVariable[Subscript["n", "1"], "Unitless"]*Sin[QuantityVariable[Subscript["θ", "1"], "Angle"]] == QuantityVariable[Subscript["n", "2"], "Unitless"]*Sin[QuantityVariable[Subscript["θ", "2"], "Angle"]]

symbol description physical quantity
n1 index of refraction (first medium) "Unitless"
θ1 angle of incidence "Angle"
n2 index of refraction (second medium) "Unitless"
θ2 angle of refraction "Angle"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Snell's Law"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Snell's Law"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ResourceObject["Snell's Law"], {QuantityVariable[
\!\(\*SubscriptBox[\("n"\), \("1"\)]\),"Unitless"] -> 1.`, 
  QuantityVariable[
\!\(\*SubscriptBox[\("n"\), \("2"\)]\),"Unitless"] -> 1.3`}]
Out[3]=

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