Appendix A : Fourier transformAppendix A : Fourier...
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Appendix A : Fourier transform
Transcript of Appendix A : Fourier transformAppendix A : Fourier...
Time duration and spectral widthTime duration and spectral width
The power rms width(most of the measurement quantities)
The rms width
(Principles of optics 7th Ed, 10.8.3, p615)
FT in cylindrical (polar) coordinatesFT in cylindrical (polar) coordinates
In rectangular coordinate
In cylindrical coordinate
( , )( , )x yr θ
( , )
( , )x yf f
ρ φ
FT in cylindrical coordinatesFT in cylindrical coordinates
(Ex) Circular aperture : for the special case when
Impulse-response function : h(t)Transfer function : H(ν)
Impulse-response function : h(t)Transfer function : H(ν)
Impulse-response function (the response of the system to an impulse, or a point, at the input)
Transfer function (the response to spatial harmonic functions)