  We present the eigenmodal analysis techniques enhanced towards calculations
of optical and non-interacting Bose-Einstein condensate (BEC) modes formed by
random potentials and localized by Anderson effect. The results are compared
with the published measurements and verified additionally by the convergence
criterion. In 2-D BECs captured in circular areas, the randomness shows edge
localization of the high-order Tamm-modes. To avoid strong diffusive effect,
which is typical for BECs trapped by speckle potentials, a 3-D-lattice
potential with increased step magnitudes is proposed, and the BECs in these
lattices are simulated and plotted.
