Why is it that when one considers some plane wave?

daniellex0x0xto 2022-08-05 Answered
Why is it that when one considers some plane wave:
E ( r , t ) = E 0 e i ( k 0 z ω 0 t )
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Answers (1)

Sage Braun
Answered 2022-08-06 Author has 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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