Non-collinear Broadband High-order Harmonic Generation And The General Jones Matrix Method In Anisotropic Optical Crystals

Anisotropic optical crystals have more and more extensive applications in production and life after the laser was invented.This paper includes two parts majorly about the characters and application of the anisotropic optical crystals.The first part is about seeking for the proper crystal with the biggest angle and wavelength bandwidth of non-collinear fourth and fifth harmonic generation,which can be used in the Inertial confinement fusion(ICF).The broadband high efficiency fourth harmonic generation(FHG)of lasers not only can be used as the optical probe of physical diagnostics,but also has the probability of directly interacting with the nuclear target in ICF instead of third harmonic generation(THG)lasers widely used at present.Because shorter wavelength lasers increase the energy absorption efficiency,reduce the instability of lasers and plasmas,and suppress stimulated Brillouin scattering(SBS)and stimulated Raman scattering(SRS).However,FHG can only support narrow bandwidth lasers limited by the strong dispersion properties of materials in the UV region,which makes it difficult to combine it with the present beam smoothing methods such as smoothing by spectral dispersion(SSD)and the prefocus scheme to avoid the damage threshold of the focus lens,so it is necessary to study the basic theory and develop key technologies of producing efficient FHG for physical applications.In chapter 3,non-collinear phase matching theory is analyzed firstly,which provides the numerical calculation foundation for non-collinear FHG and FIFHG phase matching angle(NCPMA),effective nonlinear coefficients(ENC),two kinds of angle bandwidths(AB)and wavelength bandwidth(WB)of a 1064-nm fundamental laser,using KDP as an example.The optimal angle and wavelength bandwidth and the corresponding phase matching angle and effective nonlinear coefficients are numerically calculated in the same procession as FHG of KDP for general nonlinear crystals such as DKDP,ADP,BBO,CLBO,and KBBF to get the proper crystal.The second part is about a new application method for the general Jones matrix method.Recently,Noe etc.proposed the differential general Jones matrix method to derive the general Jones matrix to modeled the general Jones matrix for the uniaxial and biaxial crystal with arbitrary orientation.However,the calculation shows that the dGJM method can only model the anisotropic media when the optic axis is vertical to the light propagating direction,but not in the arbitrary orientation.We propose a new method to calculate the phase and polarization of completely polarized light propagating in an anisotropy crystal with arbitrary optic axis orientation.The method overcomes the limitations of dGJM method and has the potentialities to describe the neutrino oscillation.The mass eigenstates can be represented by one orthogonal polarization states,and the flavor states can be represented by the other orthogonal polarization states.The beam polarization after traveling through a nonlinear crystal can be used to represent the neutrino oscillation.The other application is the generation of the vector beam,the beam transferred through a nonlinear crystal has two eigen polarizations with two different indexes,to generate two different phase shift,the vector beam will be generated by adjusting the intensity and phase distribution of cross profile of the incident beam.