Abstract
ABSTRACT The formation and stability of single-peak and multi-peak gap nematicons in a periodic potential are investigated using numerical methods. Both the stationary solutions and the dynamic solutions have been studied in the first band gap. Single-peak and multi-peak gap nematicons can be found in the first band gap. The single-peak gap nematicons are obtained for a wide range of propagation constants. Multi-peak gap nematicons can exist only above a certain minimum value of propagation constant. The intensity distribution among various peaks in a multi-peak gap nematicon highly depends on input beam intensity. The stability of the stationary solution against small perturbations has been studied using Bogoliubov-de Gennes equations. Single-peak gap nematicons are stable. The multi-peak gap nematicons having the same amplitudes for various peaks are stable, whereas those with unequal amplitudes among peaks are unstable.
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