1. SPACE
TIME
Fourier transform in time
Fourier transform in space

2. Space-time analogy
True for all pulse/beam shapes
Paraxial approximation (use of Fourier transforms)
Gaussian beams (q parameters and matrices)
Geometric optics??
a dimensionless
a dimension of 1/v

3. e(-r/M) e(r) Space-time analogy Geometric optics d1 d2 SPACE
DIFFRACTION
DIFFRACTION
By matrices:

4. e(--t/M) e(t) Space-time analogy Geometric optics d1 d2 TIME
DISPERSION
DISPERSION
By matrices:
y length in time T
= chirp imposed on the pulse

5. e(-r/M) e(r) Space-time analogy Gaussian optics d1 d2 SPACE
DIFFRACTION
DIFFRACTION
By matrices:

6. e(--t/M) e(t) Space-time analogy Gaussian optics d1 d2 TIME
DISPERSION
DISPERSION
By matrices:
= chirp imposed on the pulse
Find the image plane:

7. WHAT IS THE MEANING k”d? Lf
Fiber L
Prism Lg b
Gratings d
Fabry-Perot at resonance

8. e(-r/M) e(r) e(t) e1(t) TIME MICROSCOPE d1 d2 d2 d1 TIME LENS
DIFFRACTION
DIFFRACTION
e(t) d2 d1
DISPERSION
e1(t)
TIME
LENS
DISPERSION