Figure 7. Image A represents a central wave source within a two-dimensional medium. The waves within this medium are transversal. The central wave source has a diameter of ½ a wavelength and is emitting waves in all directions out of this central source with the same wavelength. The minimum width that any wave, existing naturally, could have coming from this wave source would be ½ of that same wavelength. All the waves emerging from the center are not shown in image A. If they were to be shown, the two-dimensional wave source would look as it does in Figure 1. Imagine that in the two-dimensional wave source of image A, waves smoothly and continuously fill the gap between these two waves shown in image A, as in Figure 1. I can create all of these waves that fill the gap by rotating one of those waves into the other. Each infinitesimal rotation would represent another wave being emitted from the central wave source.
Image B represents a wave source in a two-dimensional medium, also emitting waves in all directions in this medium. I did extend two waves represented there into two more waves with a reverse amplitude. Notice that these waves are still wave sources but are only emitting waves in one direction as opposed to the central wave source, which is emitting waves in all directions away from it. All the wave sources represented are essentially waves with a minimum of ½ a wavelength.
Transversal waves in traditional mediums can only exist two-dimensionally. In image C, I show a single slice of a central two-dimensional central wave source. Of course, there are two waves there that are moving outward in opposite directions. This is represented by the double-sided arrow. To represent a three-dimensional central wave source, I need to show waves moving away from the central wave source in a direction that is perpendicular to this double-sided arrow in image C. I do this by rotating 90 degrees the two waves that will be emitted from the central wave source. I created these waves by rotation so that I could maintain smoothness and continuity, as I explained earlier for image A. In image D, I show that the rotated waves are now moving upward. However, their amplitudes are the reverse of each other and they cancel. A wave source cannot be three-dimensional unless it truly is a source for waves emerging from it in all directions three-dimensionally. Because along one axis the waves I have shown cancel, there are no three-dimensional transversal wave sources in classical mediums.