Study On Nonlinear Propagation Characteristics And Application Of Surface Plasmon Polaritons In Metamaterial Waveguide

Surface Plasmon Polaritons(SPPs)are collective excitation modes generated by the interaction of photons and free electrons on the metal surface,which have the characteristics of subwavelength propagation and local field enhancement,and it is considered to be one of the ideal carriers to realize the new generation of micro-nano integrated photonic devices.In recent years,researchers have combined the sub-wavelength electromagnetic field binding characteristics of SPPs with nonlinear optics,enabling the realization of low-light nonlinear effects in micro-nano structures,and gradually forming a new research field,namely nonlinear surface plasmon polaritons Photonics has also designed and implemented many SPPs micro-nano devices that can be applied to all-optical information processing in micro-nano size.Among them,the metal-dielectric composite waveguide has the advantages of local field enhancement and high-polarization nonlinear materials at the same time,and has attracted the attention of researchers in the field of nonlinear SPPs research.At present,people have made rapid progress in experimental research on the strong interaction between SPPs and dielectrics and the nonlinear effects in the propagation of SPPs in this type of waveguide system.However,due to the complexity of nonlinear effects in metaldielectric composite waveguides,theoretical research is in the ascendant.At present,theoretical research is still in the stage of qualitative theoretical analysis and numerical simulation,and systematic and complete analytical theoretical research is still in urgent need of development.In view of the above problems,the main purpose of this paper is to study in depth the nonlinear optical effects in the process of interaction between SPPs and coherent medium in the metamaterial dielectric planar micro-nano waveguide based on the semi-classical theory and singular perturbation method,and based on this exploration SPPs' s magneto-optical coherent control scheme,and its new potential applications in micro-nano devices.The main research results of this article include the following two aspects:1? Research based on the external gradient magnetic field SPPs XNOR logic gate.Negative index metamaterial(NIMM)-dielectric interface waveguide can support lossless SPPs guided wave modes.We have systematically studied the linear and nonlinear propagation characteristics of lossless SPPs under an externally weak gradient magnetic field.The dielectric in the system is an atomic gas with a three-level ? type excitation configuration.Through the active Raman gain mechanism,the SPPs giant Kerr effect is obtained,and the fast light SPPs soliton is realized,and the SPPs soliton is studied.The Stern-Gerlach-like effect and trajectory control in the weak gradient magnetic field.By designing the spatial distribution and time control function of the gradient magnetic field,as well as the attraction and repulsion interaction of the soliton,the design realizes the exclusive XNOR logic operation of SPPs.The results of this research have potential applications in future on-chip micro-nano-optical integration and optical information processing.2? Research based on cross-phase modulation SPPs nanofocus.Based on the Tripod type dual electromagnetic induction transparency mechanism,the nano-focusing of SPPs solitons in the NIMM-dielectric interface waveguide system is systematically studied.In the linear region,the SPPs with lossless and stable propagation are obtained,and the group velocity matching of SPPs with the free space propagation detection field is realized.In the nonlinear region,the enhancement of the cross-phase modulation of SPPs and the detection field is realized,and the coupled nonlinear Schr¨odinger equation is derived.Using narrow pulses in free space to detect optical solitons,the spatial focusing of SPPs solitons is realized.By using bright soliton pairs,multi-bright soliton pairs,and gray soliton pair solutions,the characteristics of SPPs spatial focusing are systematically studied,and the space SPPs is discovered.The full width at the half-maximum(FWHM)of the soliton can be compressed to 10 nm,that is,the nanofocus of SPPs can be achieved through cross-phase modulation.The research results have certain application value for micro-nano size precision measurement,biosensing,super-resolution imaging and so on.The research content of this article is to establish the basic theory and calculation method of SPPs and the multi-level quantum emitter resonance interaction in the waveguide system,deeply understand the nonlinear and quantum optical properties of SPPs,design and develop based on SPPs all-optical quantum logic devices and exploring the application of SPPs in micro-nano integrated all-optical information processing and transmission are of great significance.