Is the proof acceptable??Dale said:
I wouldn’t accept it as proof. It shows one characteristic, but doesn’t derive the equation for a plane wave.Arup Biswas said:
Plane waves are characterized by being flat and extending infinitely in all directions, while spherical waves are characterized by a curved wavefront that radiates outwards from a single point source. This makes plane waves suitable for describing phenomena that are uniform in all directions, while spherical waves are more suitable for describing point sources or spherical objects.
Plane waves can be approximated as spherical waves at large distances from the source, typically when the distance is much larger than the wavelength of the wave. This is known as the far-field or Fraunhofer region.
As a plane wave propagates through space, it spreads out and becomes less and less planar. At large distances, the wavefront becomes more curved and eventually takes on a spherical shape, resembling a spherical wave.
Plane waves are commonly used in optics and acoustics, as well as in the analysis of electromagnetic fields. Spherical waves are often used to describe the behavior of point sources, such as stars or atoms, and are also used in applications such as sonar and ultrasound imaging.
No, there are many other types of waves, including cylindrical waves, Bessel waves, and more. The type of wave that is most appropriate to use depends on the specific situation and the shape of the source or object producing the wave.
