Laser frequency stabilization is notably one of the major challenges on the
way to a space-borne gravitational wave observatory. The proposed Laser
Interferometer Space Antenna (LISA) is presently under development in an ESA,
NASA collaboration. We present a novel method for active laser stabilization
and phase noise suppression in such a gravitational wave detector. The proposed
approach is a further evolution of the "arm locking" method, which in essence
consists of using an interferometer arm as an optical cavity, exploiting the
extreme long-run stability of the cavity size in the frequency band of
interest. We extend this method by using the natural interferometer arm length
differences and existing interferometer signals as additional information
sources for the reconstruction and active suppression of the quasi-periodic
laser frequency noise, enhancing the resolution power of space-borne
gravitational wave detectors.Comment: 10 pages, 2 figures, revised editio