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Spherical Waves, Waves in a Nonuniform Media, and Multidimensional Waves

Akira Hirose, Karl E. Lonngren

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Abstract

We have frequently used the following representative waveform equation in order to describe several kinds of waves (waves on a string, sound waves in gases and solids, etc.) where 0 is the amplitude of the sinusoidal displacement wave. The amplitude 0 is a constant that is specified by the source of the waves which may be a speaker for sound waves in air. For a wave equation, we observe the same amplitude 0 everywhere along the wave that is propagating in a lossless media. Such waves are called one-dimensional or plane waves. The terminology of a plane wave results from the fact that all points transverse to the direction of propagation reside in a plane.

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What this paper is about

We have frequently used the following representative waveform equation in order to describe several kinds of waves (waves on a string, sound waves in gases and solids, etc.) where 0 is the amplitude of the sinusoidal displacement wave. The amplitude 0 is a constant that is specified by the source of the waves which may be a speaker for sound waves in air. For a wave equation, we observe the same amplitude 0 everywhere along the wave that is propagating in a lossless media. Such waves are called one-dimensional or plane waves. The terminology of a plane wave results from the fact that all points transverse to the direction of propagation reside in a plane.

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Available abstract

We have frequently used the following representative waveform equation in order to describe several kinds of waves (waves on a string, sound waves in gases and solids, etc.) where 0 is the amplitude of the sinusoidal displacement wave. The amplitude 0 is a constant that is specified by the source of the waves which may be a speaker for sound waves in air. For a wave equation, we observe the same amplitude 0 everywhere along the wave that is propagating in a lossless media. Such waves are called one-dimensional or plane waves. The terminology of a plane wave results from the fact that all points transverse to the direction of propagation reside in a plane.

Key concepts: Mechanical wave, Longitudinal wave, Rayleigh wave, Love wave, Physics, Plane wave, Lamb waves, Gravity wave

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