Studying physics in High school, and for two years now we have covered two point source interference patterns with light, sound, and water wave in a ripple tank per say. The type of wave nor medium is necessary significant for me at the moment, but I am having trouble understanding something about the interference pattern, the shape and spreading of nodal, and anti nodal lines.
like ones depicted in above site. I Have at moment at my availability 3 different text books which all state that indeed there is a fixed number of nodal lines, and I always though there would be an infinite number of nodal lines, I know this isn't that important, but I just dont see why there wouldn't be many nodal line (Lines of destructive interference present), I know waves diminish, they spread losing energy and thus amplitude, but say they didn't which is what my books assume, why wouldn't there be infinite many nodal lines.
Also, sources are in phase, and nothing is changing over time.
No real relevant equations I know of, just the concepts.
The Attempt at a Solution
I though it had something to do with loss of energy as stated above, but books are talking about ideal waves, which dont seem to lose energy.