SPACE TIME Fourier transform in time Fourier transform in space

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

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

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

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

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:

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

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