1210.4283 (D. Jukić et al.)

Four-dimensional photonic lattices and discrete tesseract solitons    [PDF]

D. Jukić, H. Buljan

We theoretically study discrete photonic lattices in more than three dimensions and point out that such systems can exist in continuous three-dimensional (3D) space. We study discrete diffraction in the linear regime, and predict the existence of four-dimensional (4D) tesseract solitons in nonlinear 4D periodic photonic lattices. Finally, we propose a design towards a potential realization of such periodic 4D lattices in experiments.

View original: http://arxiv.org/abs/1210.4283