Why is it that when one considers some plane wave?



Answered question


Why is it that when one considers some plane wave:
E ( r , t ) = E 0 e i ( k 0 z ω 0 t )

Answer & Explanation

Sage Braun

Sage Braun

Beginner2022-08-06Added 11 answers

The shutter you describe can be expressed via Heaviside step function θ ( ) as
f ( t ) = θ ( t + T ) θ ( t T ) .
To get the output wave, we multiply the input wave by this indicator function f of the shutter. In the frequency spectrum the input wave gets convolved with the Fourier transform of f, which is proportional to sinc ( ω T ) . This convolution is the source of the extra frequencies in the output wave.

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