486 Diagnostic Techniques
(a)
1500 15001000 1000500 500
200
150
100
50
0
50
100
150
200
0
3
2
1500 15001000 1000500 500
200
150
100
50
0
50
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0
3
2
(b)
Figure 9.18 Figure of merit, cf. Eq. (9.38), of pulse retrieval based on a spectral measurement
and (a) an amplitude unbalanced third-order correlation and (b) an amplitude and phase unbalanced
third-order correlation.
third-order correlation, and (b) an amplitude and phase unbalanced third-
order correlation using the PICASO scheme, cf. Fig. 9.11. The search space
(φ
2
, φ
3
) is depicted in Figure 9.18, with dark zones representing minima
of the root-mean square deviation, cf. Eq. (9.38). Explain the reason for
the ambiguity in case (a). How do the two possible pulses differ in the
time domain? Why does adding a phase filter resolve the ambiguity?
BIBLIOGRAPHY
[1] S. L. Shapiro, Ed. Ultrashort Light Pulses. Springer-Verlag, Berlin, Germany, 1977.
[2] J.-C. Diels, J. J. Fontaine, I. C. McMichael, and F. Simoni. Control and measurement of
ultrashort pulse shapes (in amplitude and phase) with femtosecond accuracy. Applied Optics,
24:1270–1282, 1985.
[3] M. Sheik-Bahae, and T. Hirayama. Real-time chirp diagnostic for ultrashort laser pulses.
Opt. Lett., 27(10):860–862, 2002.
[4] K. Naganuma, K. Mogi, and H. Yamada. General method for ultrashort light pulse chirp
measurement. IEEE J. of Quantum Electronics, QE-25:1225–1233, 1989.
[5] D. E. Spence, P. N. Kean, and W. Sibbett. 60-fs pulse generation from a self-mode-locked
Ti:sapphire laser. Optics Lett., 16:42–44, 1991.
[6] E. W. Van Stryland. The effect of pulse to pulse variation on ultrashort pulsewidth measurements.
Opt. Comm., 31:93–94, 1979.
[7] G. H. C. New and J. M. Catherall. Advances in the theory of mode-locking by synchronous
pumping. In Ultrafast Phenomena V, Springer-Verlag, Berlin, Germany, 1986, pages 24–26.
[8] J. M. Catherall and G. H. C. New. Role of spontaneous emission in the dynamics of mode-locking
by synchronous pumping. IEEE Journal of Quantum Electronics, QE-22:1593, 1986.

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