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In recent and future synchrotron radiation facilities, relativistic electronbunches with increasingly high charge density are needed for producingbrilliant light at various wavelengths, from X-rays to terahertz. In suchconditions, interaction of electrons bunches with their own emittedelectromagnetic fields leads to instabilities and spontaneous formation ofcomplex spatial structures. Understanding these instabilities is therefore keyin most electron accelerators. However, investigations suffer from the lack ofnon-destructive recording tools for electron bunch shapes. In storage rings,most studies thus focus on the resulting emitted radiation. Here, we presentmeasurements of the electric field in the immediate vicinity of the electronbunch in a storage ring, over many turns. For recording the ultrafast electricfield, we designed a photonic time-stretch analog-to-digital converter withterasamples/second acquisition rate. We could thus observe the predicted linkbetween spontaneous pattern formation and giant bursts of coherent synchrotronradiation in a storage ring.

From self-organization in relativistic electron bunches to coherent synchrotron light: observation using a photonic time-stretch digitizer