Abstract
Plasma is an attractive medium for the advanced accelerator. When combined with the ultra-intense lasers, it makes the acceleration field one thousand times the field of the current microwave accelerators or the size one thousandth the size. The fields, which require now the particle accelerator, are not only the high energy physics, but also the medical, industrial and low energy material fields. In these 10 years, the laser accelerator research has advanced the electron gain of from 22 MeV to 200 MeV. Recently, it has produced 200 MeV electrons from a 2 mm-long plasma. This corresponds to 100 GV/m. On the other hand, a glass capillary has this year succeeded in making the plasma length, the acceleration length, from 2 mm to 10 mm. Mono-energetic peaks were also found. These will be the breakthrough to the second generation of the advanced accelerator development.This review introduces these topics as well as the development of the ion acceleration studies.