PMID- 16208734 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20070212 LR - 20051017 IS - 1439-4235 (Print) IS - 1439-4235 (Linking) VI - 6 IP - 10 DP - 2005 Oct 14 TI - Systematic control of nonlinear optical processes using optimally shaped femtosecond pulses. PG - 1970-2000 AB - This article reviews experimental efforts to control multiphoton transitions using shaped femtosecond laser pulses, and it lays out the systematic study being followed by us for elucidating the effect of phase on nonlinear optical laser-molecule interactions. Starting with a brief review of nonlinear optics and how nonlinear optical processes depend on the electric field inducing them, a number of conclusions can be drawn directly from analytical solutions of the equations. From a Taylor expansion of the phase in the frequency domain, we learn that nonlinear optical processes are affected only by the second- and higher-order terms. This simple result has significant implications on how pulse-shaping experiments are to be designed. If the phase is allowed to vary arbitrarily as a continuous function, then an infinite redundancy that arises from the addition of a linear phase function across the spectrum with arbitrary offset and slope could prevent us from carrying out a closed-loop optimization experiment. The early results illustrate how the outcome of a nonlinear optical transition depends on the cooperative action of all frequencies in the bandwidth of a laser pulse. Maximum constructive or destructive interference can be achieved by programming the phase using only two phase values, 0 and pi. This assertion has been confirmed experimentally, where binary phase shaping (BPS) was shown to outperform other alternative functions, sometimes by at least on order of magnitude, in controlling multiphoton processes. Here we discuss the solution of a number of nonlinear problems that range from narrowing the second harmonic spectrum of a laser pulse to optimizing the competition between two- and three-photon transitions. This Review explores some present and future applications of pulse shaping and coherent control. FAU - Lozovoy, Vadim V AU - Lozovoy VV AD - Department of Chemistry, Michigan State University, East Lansing, MI 48824, USA. FAU - Dantus, Marcos AU - Dantus M LA - eng PT - Journal Article PL - Germany TA - Chemphyschem JT - Chemphyschem : a European journal of chemical physics and physical chemistry JID - 100954211 EDAT- 2005/10/07 09:00 MHDA- 2005/10/07 09:01 CRDT- 2005/10/07 09:00 PHST- 2005/10/07 09:00 [pubmed] PHST- 2005/10/07 09:01 [medline] PHST- 2005/10/07 09:00 [entrez] AID - 10.1002/cphc.200400342 [doi] PST - ppublish SO - Chemphyschem. 2005 Oct 14;6(10):1970-2000. doi: 10.1002/cphc.200400342.