Research On Propagation And Dynamical Characteristics Of Structure Light Fields In Metamaterials

In recent years,structured light fields with special amplitude,phase and polarization states have attracted great attention due to their fascinating physical properties and effects,as well as wide range of potential applications.In the process of interaction between structured light fields and matter,there are not only the transfers of photon energy,but also the photon momentum and angular momentum.At the same time,there are a series of novel physical effects and phenomena,such as Magnus effect,spin Hall effect,chiral effect,transverse spin phenomena,and so on.As several important parameters for characterizing the dynamical characteristics of structured light fields,energy,momentum,and angular momentum are helpful to reveal novel physical effects and properties of structured light field and matter.On the other hand,the experimental realization of metamaterials has aroused widespread attention and opened up a new study field on optics.Meanwhile,a large number of optical phenomena need to be re-examined,and the whole new technologies and methods of manipulating optical fields are waiting to be discovered.In this paper,the propagation and dynamical characteristics of typical structured light fields,including Laguerre-Gaussian beams,Bessel-Gaussian beams,and Airy beams,in the chiral metamaterials,left-handed metamaterials,and gradient-index metamaterials are investigated by combing structured light fields and metamaterials.This thesis finished main work is as follows:1.The analytical expressions of Laguerre-Gaussian beams,Bessel-Gaussian beams,and Airy beams are presented,and the intensity and phase distributions of theses three types of typical structured light fields in the free space are simulated.By introducing vector potential in the Lorentz gauge,the electromagnetic field components of typical structured light fields with different polarization are determined under the paraxial approximation.The Abraham-Minkowski controversy and the kinetic versus canonical descriptions of the optical momentum theory are examined in detail.Based on the canonical theory for characterization of the optical energy,momentum,and angular momentum of structured light fields,the dynamical characteristics of typical structured light fields in the free space are investigated.2.The matrix optics method of the propagation of structured light fields is studied,and the ABCD transfer matrices for the left-handed metamaterials,chiral metamaterials and gradient-index metamaterials are presented.Based on the Collins formula and the ABCD transfer matrix,the analytical expressions of the complex amplitude of typical structured light fields,including Laguerre-Gaussian beams,Bessel-Gaussian beams and Airy beams,in left-handed metamaterials,chiral metamaterials and gradient-index metamaterials are derived,and the propagation properties of these three structured light fields in left-handed metamaterials,chiral metamaterials and gradient-index metamaterials are examined.3.Based on the analytical expression of the complex amplitude for the structured light fields in metamaterials,the electric and magnetic field components of typical structured light fields with different polarization,including Laguerre-Gaussian beams,Bessel-Gaussian beams and Airy beams,are determined by defining a vector potential and using the Lorentz gauge.Within the framework of quantum mechanics and relativistic field theory,based on the canonical approach,the theory for characterizing the energy,momentum and angular momentum of structured light fields with clear physical meaning,concise mathematical model and strong universality is proposed.Taking the left-handed metamaterial as an example,the dynamical characteristics of structured light fields in left-handed metamaterials are explored.