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Introduction to the Physics of Waves by Tim Freegarde

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3

Further wave equations

In Chapter 2 we saw how the motion of a guitar string could be established by considering the physical mechanisms that governed it and using them to determine the wave equation for the system. In this chapter we shall see that the same approach can be applied to a wide range of physical systems. We begin with detailed derivations of the wave equations for electromagnetic waves along a coaxial cable and in free space, and then examine ocean waves and ripples on a fluid surface, showing how they may be extended to describe a variety of atmospheric and oceanic phenomena.

In each case, we begin by determining how the disturbance or displacement at any point is affected by that at adjacent points, and how the physical ...

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