Many positional summator functioning on electromagnetic modes closed in a 1D photonic crystal

<title>All-optical logical gates built on optically linear bandgap structures covered with nonlinear material</title>

“…The idea was discussed in a lot of papers [1][2][3][4][5][6][7][8][9][10][11]. The anticipated advantages of this way in logical gates and signal processing comparatively with beam separation way in interferometers should manifest itself in small sizes of devices and practically unlimited possibilities to organize parallel operating of signals [1][2].…”

“…It was shown that for infrared optoelectronics of wavelengths in interval (1, 10) m the calculated structures have characteristic layer widths ranging from 0.1 to 2.0 m. In this case, there exists a possibility to operate by mode population at a given frequency using special input fibers delivering external signals to each mode at separated incidence angles. Further, the 32 and 16-periodic GaAs-SiO 2 layered systems considered in [3] may serve as light reservoirs where two binary sequences experience the physical mixing.…”

“…Ideology of the use the linear PhCr with nonlinear covering was developed in [4] and a cell of the all-optical adder was proposed. The field structure for semiconductor, dielectric and mixed type 1D layered structures GaAs/AlGaAs and GaAs/glass were investigated in previous works [3,7] without taking into account the optical nonlinearity. It was shown that for infrared optoelectronics of wavelengths in interval (1, 10) m the calculated structures have characteristic layer widths ranging from 0.1 to 2.0 m. In this case, there exists a possibility to operate by mode population at a given frequency using special input fibers delivering external signals to each mode at separated incidence angles.…”

“…The main problem of an all-optical adder is in the transformation of a physical sequence of added signals to a logical sequence with a corresponding shift of digital units. The angular processing scheme discussed in [3,6] for linear PBG materials and then for nonlinear materials in [4] shown that nonlinearity causes changes in the light signal's angular distribution even when the intensity is changed at steady input angles. The important consequence for the logical adding process is that for some configuration of the PBG system controlled by nonlinear inserts there arise frequency-angular areas which are extremely sensitive for signal transformation depending on the signal's intensity.…”

“…The cubic nonlinear effects are considered as a perspective base for signal processing and laser generation [1][2][3][4][5][6][7]. The nonlinearity causes the band's position to shift, leading to a strong deviation in transmission and reflection of the light signal.…”