Recent content by WickedSymphony

The argument in the sinusoid has to be a scalar, but we know that the dot product of 2 vectors ( in this case the propagation vector and position vector) returns a scalar. So can't the scalar value that is the argument of the sinusoid be vector dependent? For example one of the recent things...

Ok, for ## ( kx - \omega t ) = \theta_0 ## the x as a function of t will be ## \frac { \omega t + \theta_0} {k} ## so as time goes up x will increase at a rate of ## \frac \omega k ## which means x will move in the positive direction. As for ## ( kx + \omega t ) = \theta_0 ## , x as a function...

I've been having an issue with understanding the convention of wave direction notation, here is my current understanding where I am at currently: A 3D harmonic solution to the differential wave equation can be given as: If we make some assumptions about the wave, that its amplitude is 1, its...