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Plane waves incident upon a small opening in a barrier will fan out and decrease in amplitude.
In physics, a plane wave is a special case of wave or field: a physical quantity whose value, at any moment, is constant through any plane that is perpendicular to a fixed direction in space.
For any position vector x in space and any time t, the value of such a field can be written as :
[tex]{\displaystyle F({\vec {x}},t)=G({\vec {x}}\cdot {\vec {n}},t),}[/tex]
[tex]{\displaystyle F({\vec {x}},t)=G({\vec {x}}\cdot {\vec {n}},t),}{\displaystyle F({\vec {x}},t)=G({\vec {x}}\cdot {\vec {n}},t),}[/tex]
where [tex]{\displaystyle {\vec {n}}}\vec[/tex] is a unit-length vector, and [tex]{\displaystyle G(d,t)}{\displaystyle G(d,t)}[/tex] is a function that gives the field's value as dependent on only two real parameters: the time t, and the scalar-valued displacement
[tex]{\displaystyle d={\vec {x}}\cdot {\vec {n}}}{\displaystyle d={\vec {x}}\cdot {\vec {n}}}[/tex]
of the point [tex]{\displaystyle {\vec {x}}}{\vec {x}}[/tex] along the direction [tex]{\displaystyle {\vec {n}}}\vec[/tex]. The displacement is constant over each plane perpendicular to [tex]{\displaystyle {\vec {n}}}\vec[/tex].
The values of the field may be scalars, vectors, or any other physical or mathematical quantity. They can be complex numbers, as in a complex exponential plane wave.
When the values of F are vectors, the wave is said to be a longitudinal wave if the vectors are always collinear with the vector [tex]{\displaystyle {\vec {n}}}\vec[/tex], and a transverse wave if they are always orthogonal (perpendicular) to it.
Learn more about Plane waves here : https://brainly.com/question/15414918
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