We consider pattern selection process in a wide aperture VCSEL near
threshold. We show that for a square geometry of the laser aperture, the
patterns formed at lasing threshold can be very complicated because of a
possible misalignment between directions of an intrinsic spatial anisotropy of
VCSEL and lateral boundaries of its aperture. The analogy with quantum billiard
structures is established, and fingerprints of wave chaos are found. Influence
of localized inhomogeneous in the pump current is also considered.Comment: 10 pages, 8 figures, uses REVTEX