In this paper, we give a brief review on different types of applications relying on tilted-pulse-front pumping or angular dispersion. A short overview of the connection between pulse front tilt and angular dispersion is followed by discussing examples of achromatic phase matching in frequency conversion processes, tilted-pulse-front pumping for phasematched high-field THz pulse generation, as well as pumping of short-wavelength x-ray lasers, where tilting the pump pulse front is utilized for synchronization. The connection between pulse front tilt and angular dispersion is also addressed for some of the applications.Pulse front tilt, angular dispersion, THz generation, achromatic phase matching, travelling-wave excitation, x-ray laser
Sec. 1 IntroductionTilting the pump pulse front has been proposed for efficient phase-matched THz generation by optical rectification (OR) of femtosecond laser pulses in LiNbO 3 (LN) 1 . By using amplified Ti:sapphire laser systems for pumping, this technique has recently resulted in generation of near-single-cycle THz pulses with energies on the 10-μJ scale 2, 3 . Such high-energy THz pulses have opened up the field of sub-picosecond THz nonlinear optics and spectroscopy 4, 5 .The method of tilted-pulse-front pumping (TPFP) was introduced as a synchronization technique between the optical pump pulse and the generated THz radiation. Synchronization was accomplished by matching the group velocity of the optical pump pulse to the phase velocity of the THz wave in non-collinear propagation geometry. Originally, TPFP was introduced for synchronization of amplified and excitation pulses in so called travelling-wave laser amplifiers 6 . By using such travelling-wave excitation (TWE) of laser materials, especially dye solutions, extremely high gain (10 9 ) and reduced amplified spontaneous emission could be obtained 7 .Contrary to the case of TWE, when TPFP is used for THz generation by optical rectification, a wave-vector (momentum) conservation condition or, equivalently, a phase-matching condition has to be fulfilled 1, 8 . It was shown 1 , that such condition is automatically fulfilled if the synchronization (velocity matching) is accomplished. The reason is that in any tilted pulse front there is present an angular dispersion of the spectral components of the ultrashort light pulse and there is a unique connection between the tilt angle of the pulse front and the angular dispersion 9-11 .In frequency conversion and parametric amplification processes with ultrashort laser pulses the bandwidth of the nonlinear material is of crucial importance. Such processes require a certain phase matching condition to be fulfilled in order to be efficient. It is well known that broadband (achromatic) phase matching is connected to matching the group velocities of (some of) the interacting pulses.Angular dispersion was introduced into the pump beam of so-called achromatic frequency doubler 12-14 and sumfrequency mixing 15 setups in order to achieve broadband frequency conversion and to preserve the ul...