Recent content by reedc15

f(kx+wt) would of course including standing waves. I understand your point about linear combination of sin and cosine not working as harmonic waves in many cases. f(x,t)=exp[-i(ax+bt)^2] has some velocity given by sqrt(b/a), with b as omega. this implies it is in certain harmonics for 'b' as...

Yes, I got your point. But what is your definition of Harmonic Wave? Is it defined as any linear combination of sin(kx+wt) and cos(kx+wt)? Can the argument of these function take powers of 2 and so on. In my college, all sins and cosines with argument (kx+wt)^2 is considered as harmonic wave...

It is oscillating up and down. The 3d parabola! Also f(x,t)=exp[-i(ax+bt)^2] will have a certain velocity given by sqrt(b/a). This implies omega = b, which is constant. So the the wave is constantly oscillating.

Yes, cos(x^2) is not a harmonic wave, but cos[(kx+wt)^2] is, I think. "f''=A*f when A is a constant" this requirement is also fulfilled, as f comes from w, and it will take integer multiple (given by constant A)

Ok, but what about the quadratic exponent? Would my wave equation still be harmonic?

f(x,y)=1−(ax+bt)^2 is a parabola in 3d shifted upward by 1 and inverted. If g(ax+bt) is general form for harmonic wave, my equation should represent a harmonic wave as it has argument ax+bt. is it true?

Homework Statement Dear Guys, Does f(x,t)=exp[-i(ax+bt)^2] qualify as a harmonic waves? Please help! Manish Germany Homework Equations The Attempt at a Solution it is of the form g(ax+bt). which is the general form for harmonic wave. but what bothers me is the...

Dear Guys, Does f(x,t)=exp[-i(ax+bt)^2] qualify as a harmonic wave? Please help! Manish Germany