What Does Plane Wave of Infinite Extent Mean in Optics?

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SUMMARY

A plane wave of infinite extent, as defined in "Optics" by Hecht, refers to a theoretical wave that extends infinitely in all directions perpendicular to its direction of propagation. This concept is crucial because any finite plane wave will experience diffraction at its edges, causing it to deviate from the ideal plane wave behavior. The discussion emphasizes that only a perfect plane wave, which can be considered the limit of a spherical wave as its radius approaches infinity, can maintain its characteristics without interference from its edges.

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From Optics by Hecht
He says "only a plane wave of infinite extent will propagate as a plane wave"
What does it mean by " plane of infinite extent" in this context?
 
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I believe he means that a perfect plane wave would need to extend to infinity in all directions perpendicular to the direction of propagation. If not, the ends of the wavefront would diffract and the wave would no longer be a perfect plane wave.
 
manimaran1605 said:
From Optics by Hecht
He says "only a plane wave of infinite extent will propagate as a plane wave"
What does it mean by " plane of infinite extent" in this context?

It may be easier to think if it as the limit of a spherical wave as the radius increases without limit. Nothing has 'interfered with' the edges of the wave.
 
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