The Study On Light Propagation In Photonic Lattice With The Phase Of Dynamic Modulation

The study of light propagation is one of the significant researches in modern optics and provides important guidance for the design and development of the integrated photonic devices.It has extensive application prospects in optical communications and quantum information.The thesis is aimed at creating an effective magnetic field for photons that emerges from the dynamic modulation of phase based on the Aharonov-Bohm(A-B)effect.The dynamic behaviors of the photons exactly mimic the quantum motion of an electron in the effective magnetic field.By introducing the phase of dynamic modulation in the three layer square lattice array and photonic lattice with a defect,the physical models of an artificial magnetic field are constructed successfully.The results showed the A-B trapping for photons and the two-dimension non-reciprocal light transmission are realized in the designed photonic lattices in which the phases are modulated dynamically.Our work will be helpful to study the control of the neutral particle through the artificial magnetic field.The main contents are as follows:In chapter one,the generation mechanism of the effective magnetic field for photons was focused on in the dynamically phase-modulated photonic lattice.we introduded the basic conception of the photons' A-B effect and some representative optical phenomena in the effective magnetic field.In the second chapter,we firstly introduced the coupled-mode function and Planar Wave Expansion(PWE)of a discretized optical system.In the three layer squre lattice array,we introduced the phase of dynamic modulation into the effective coupling coefficients between the nearest lattice sites to realize the effective magnetic field.With the light propagation mechanism,the dynamic equations were deduced;with the PWE,the dispersion relation was analyzed.And we numerically simulated the light wave propagation.The results showed that the linear localization of light would realized in the three layer squre lattice array,that is the A-B trapping of photons.In the third chapter,we studied the light propagation mechanism in the dynamiclly phase-modulated photonic lattice with a defect.Firstly,the defect layer lattice was introduced into the lattice structure.The effective coupling coefficients between the defect site and the nearest sites were introduced the magnetic vector' phase,and the magnetic flux would be present.There existed the effective magnetic field in the designed lattice.We studied the light field,transmittance and reflectance.And the light energy distribution was numerically simulated.Our study showed the prefect two-dimension non-reciprocal transmission would occur when the defect was lossless.In chapter four,there were the conclusion and the prospect of our study.We summarized the main projects and innovation points of the thesis and indicated the imperfect points.Lastly,the suggestions of the further study were proposed.