Pulse compression in dispersive Strontium Barium Niobate (SBN) crystal with a random size and distribution of the antiparallel orientated nonlinear domains is observed via transverse second harmonic generation. The dependence of the transverse width of the second harmonic trace along the propagation direction allows for the determination of the initial chirp and duration of pulses in the femtosecond regime. This technique permits a real-time analysis of the pulse evolution and facilitates fast in-situ correction of pulse chirp acquired in the propagation through an optical system. Ultrashort laser pulses, with their variety of peak powers and durations, are becoming an important tool in an increasing number of applications in the fields of technology (materials processing, etc.) biomedical sciences and basic research in general. As the pulses become shorter, the dispersion effects that modify pulse properties during propagation through optical materials become increasingly relevant so a precise characterization of the pulse properties is needed. During the last decade different techniques have been implemented and extensively adopted [1][2][3][4] either for partial or/and complete temporal characterization of the pulses. They include for instance, Frequency-Resolved Optical Gating (based on the concept of optical gating) or Spectral Phase Interferometry for Direct Electric-field Reconstruction, (based on the concept of spectral interferometry) or even for 3D characterization (STARFISH, SEA Tadpole) [5][6]. Although a detailed field reconstruction is needed in particular applications and thus fully justifies the use of these advanced techniques, there are still many situations requiring just a partial characterization of the pulse. Hence simple and cost-effective methods of pulse measurement and characterization are always of potential interest.Typical as-grown ferroelectric crystals, such as Strontium Barium Niobate (SBN), exhibit a random-sized distribution of needele-like oppositely oriented ferroelectric domains all aligned parallel to the optical axis (z axis). A shematic representation of such domains is shown in Figure 1a. While the reversed orientation of domains corresponds to inversion of sign of the quadratic susceptibility, the refractive index of these crystals remains practically homogeneous [7]. Such crystals provide phase matching for frequency conversion processes over wide angular and frequency bandwidths without need for angular or temperature tuning as it is usual in typically used homogeneous nonlinear crystals [8][9][10]. Phase matching is obtained thanks to the continuous set of reciprocal lattice vectors, G, arising from the random size and distribution of the nonlinear domains, which entails a random distribution of the nonlinearity sign. These lattice vectors, with different modulus and orientation, lie in the xy plane. As a result, planar second harmonic emission is observed when the input fundamental beam propagates in the direction perpendicular to the optical axis. This effect consti...