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We present the eigenmodal analysis techniques enhanced towards calculationsof optical and non-interacting Bose-Einstein condensate (BEC) modes formed byrandom potentials and localized by Anderson effect. The results are comparedwith the published measurements and verified additionally by the convergencecriterion. In 2-D BECs captured in circular areas, the randomness shows edgelocalization of the high-order Tamm-modes. To avoid strong diffusive effect,which is typical for BECs trapped by speckle potentials, a 3-D-latticepotential with increased step magnitudes is proposed, and the BECs in theselattices are simulated and plotted.

Eigenmodal Analysis of Anderson Localization: Applications to Photonic Lattices and Bose-Einstein Condensates