1. MICHELSON AND WHITE LIGHT INTERFEROMETRY

2. INTERFEROMETER TO MEASURE DISPERSION

3. Michelson Interferometer response

4. Michelson Interferometer response
If beam 2 traverses L = 2d of glass instead of air, the field E2 is modified:

5. Michelson Interferometer response:
shift in “time origin”

6. Michelson Interferometer: demonstration of a delayed response

7. Michelson Interferometer: sample testing
Without sample:
With sample:
sample
Ratio:

8. Michelson Interferometer: sample testing
Do we need short pulses?
Can we test mirrors?
We are measuring directly k(W) to all orders
(except zero and one)

9. Michelson Interferometer:
sample testing
sample
White light = random sequence of
ultrashort pulses

10. Interferogram without sample, and its Fourier Transform

11. Interferogram with 0.5 mm of fused silica in arm 2.

12. Interferogram for 2 mm of glass, spectrum and spectral phase.30 60 90
120
-1.0
-0.5
0.0
0.5
1.0
Normalized Intensity (a.u.)
Relative Delay ( m m)
100
200
300
400
Relative Delay (fs) m) m
Wavelength (
1.2 1
0.8
0.6 5
1.0
Spectrum
Phase
0.8
Polynomial Fit -5
Spectral Amplitude (a.u.)
0.6
Spectral Phase (rad)
-10
0.4
-15
0.2
-20
0.0
-0.5
0.0
0.5
1.0 W
(1/fs)

13. Interferogram, spectrum and spectral phase.
Mirror testing:
Interferogram, spectrum and spectral phase.
Relative Delay (fs)
0.0
0.5
1.0
Spectral Phase (rad)
-0.4
-0.2
0.2
0.4
0.6 W
(1/fs) i.
1.5
ii. 1
0.9
0.8
0.7
Wavelength ( m m)
100
200
300 1 b.
Normalized Intensity (a.u.) -1 20 40 60 80
100
Relative Delay ( m m)