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Unformatted text preview: pulse may be made up of an infinite
number sinusoidal waves. The Fourier
transform gives the spectrum of
frequencies needed. The Fourier Transform of a pulse Consider a square pulse of width T .
/ =− 1 / − / sin = − 2 sin ωT/2 The longer the duration of the pulse the
narrower the spectrum becomes. For an
infinitely long pulse the spectrum is a
single frequency. For an infinitely short
pulse the spectrum has all frequencies
. ωT/2= 2π Δω= 4π/T The Fourier Transform and Diffraction
, = ( (, ) ) A plane wave travelling per...
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