Axion, a hypothetical particle that is crucial to quantum chromodynamics and
dark matter theory, has not yet been found in any experiment. With the
improvement of laser technique, much stronger quasi-static electric and
magnetic fields can be created in laboratory using laser-plasma interaction. In
this article, we discuss the feasibility of axion or axionlike-particle's
exploring experiments using planar and cylindrically symmetric laser-plasma
fields as backgrounds while probing with an ultrafast superstrong optical laser
or x-ray free-electron laser with high photon number. Compared to classical
magnet design, the axion source in laser-plasma interaction trades the
accumulating length for the source's interacting strength. Besides, a
structured field in the plasma creates a tunable transverse profile of the
interaction and improves the signal-noise ratio via the mechanisms such as
phase-matching. The mass of axion discussed in this article ranges from 1
\textmu eV to 1 eV. Some simple schemes and estimations of axion production and
probe's polarization rotation are given, which reveals the possibility of
future laser-plasma axion source in laboratory.Comment: 24 pages, 5 figure