What Does Plane Wave of Infinite Extent Mean in Optics?

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A plane wave of infinite extent in optics refers to a theoretical wave that extends infinitely in all directions perpendicular to its propagation. This concept implies that only such a wave can maintain its plane wave characteristics without diffraction. If the wave does not extend infinitely, its edges will diffract, altering its nature. The discussion suggests visualizing this as the limit of a spherical wave as its radius approaches infinity. Understanding this concept is crucial for grasping the behavior of ideal plane waves in optical contexts.
manimaran1605
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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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