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Ruslan
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A picture is worth a thousand words. Here's how it looks as a function of space, evolving in time:

enter image description here

Here blue is real part, and purple is imaginary part of the complex exponent $\exp(i(kx-\omega t))$.

If you instead just look at $\exp(-i\omega t)$, you'll get this:

enter image description hereenter image description here

A picture is worth a thousand words. Here's how it looks as a function of space, evolving in time:

enter image description here

Here blue is real part, and purple is imaginary part of the complex exponent $\exp(i(kx-\omega t))$.

If you instead just look at $\exp(-i\omega t)$, you'll get this:

enter image description here

A picture is worth a thousand words. Here's how it looks as a function of space, evolving in time:

enter image description here

Here blue is real part, and purple is imaginary part of the complex exponent $\exp(i(kx-\omega t))$.

If you instead just look at $\exp(-i\omega t)$, you'll get this:

enter image description here

Source Link
Ruslan
  • 29.6k
  • 8
  • 69
  • 151

A picture is worth a thousand words. Here's how it looks as a function of space, evolving in time:

enter image description here

Here blue is real part, and purple is imaginary part of the complex exponent $\exp(i(kx-\omega t))$.

If you instead just look at $\exp(-i\omega t)$, you'll get this:

enter image description here