- #1

- 8

- 0

Dear Guys,

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

Manish

Germany

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

Manish

Germany

- Thread starter reedc15
- Start date

- #1

- 8

- 0

Dear Guys,

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

Manish

Germany

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

Manish

Germany

- #2

mathman

Science Advisor

- 7,876

- 452

Yes. Separate the real (cosine) and imaginary parts (sine).Dear Guys,

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

Manish

Germany

- #3

- 8

- 0

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

- #4

- 10

- 0

in general, an harmonic function f is a function that gives f''=A*f when A is a constant. the function you gave do not fulfil this requirement.

- #5

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- 0

- #6

- 10

- 0

d^2 f/dx^2= -f*(2xk^2+2kwt)-2k^2*sin((kx+wt)^2)

and nothing here suggest that there exist a constant A that for every t and every x

d^2 f/dx^2=Af.

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