appendix a : fourier transformappendix a : fourier...
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Appendix A : Fourier transformAppendix A : Fourier transform
Properties of 1D FTProperties of 1D FT
Properties of 1D FTProperties of 1D FT
Some frequently used functionsSome frequently used functions
Some frequently used functionsSome frequently used functions
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)
Time duration and spectral widthTime duration and spectral width
Widths at 1/e, 3-dB, half-maximum Widths at 1/e, 3-dB, half-maximum
1
f(t)
t
= 2τ.
2D Fourier transform2D Fourier transform
Superposition of plane waves
Properties of 2D FTProperties of 2D FT
Properties of 2D FTProperties of 2D FT
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
FT in cylindrical coordinatesFT in cylindrical coordinates
(Ex) Circular aperture : for the special case when
Special functions in PhotonicsSpecial functions in Photonics
Special functions in PhotonicsSpecial functions in Photonics
Special functions in PhotonicsSpecial functions in Photonics
Appendix : Linear systemsAppendix : Linear systems
Appendix : Shift-invariant systemsAppendix : Shift-invariant systems
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)
Appendix : Transfer functionAppendix : Transfer function