Simulation In Optical Potential Well And Its Lattice Construction

Optical lattice can be widely used in research imprisoned atom ferromagneticmaterial, the nature of the anti-ferromagnetic and paramagnetic polarization gradientcooling and confinement dynamics, the Raman cooling and adiabatic cooling, thewave packet dynamics, quantum transport and tunneling effect and the light passingthrough atomic Bragg diffraction of the optical lattice. Although the optical for thepeople is an ancient discipline, construction and application of optical potential wells,only began100years ago, and a research boom has risen in recent years. As thedefects of early one-dimensional, two-dimensional and three-dimensionalstanding-wave laser field of cold atomic dim light trap array (ie, atom optical lattice),the novel with a large lattice constant of the optical potential well in recent years hasbecome a cold atomic physics and one of the focus in the field of atom optics.When we use vector wave method for solving the diffraction problem, it becomesso complex in the math, which is actually the numerical methods, and results in thenear-field diffraction only have a significant role, in the non-near-field case, that weshould use the scalar wave theorybuild the theoretical basis of the formation of anoptical trap. In the aspects of Potential well construction, there are optical dual-trap,optical four-well, optical six-well, optical eight wells of the program, which aredirectly based on physical principles,and also optical tweezers according to what lightfield distribution we need which based on the Fourier optics method; these twomethod correspond to the pros and cons of the problem in mathematical physics.In this paper, a liquid crystal spatial light modulator and lens combination toproduce the novel dual optical trap program to calculate and analyze the characteristicparameters and geometric parameters of the optical trap group, researchers from thedouble optical trap to a bi-directional evolution of a single optical trap based onprevious work. We discussed the potential applications of the dual optical trap in the atom, cold molecule optics. And Lagrangian relaxation algorithm is applied to solvethe optical field distribution calculation, and the optimized design.Lagrange relaxation algorithm for solving the lower bound of a Lagrangianrelaxation algorithm is relatively simple and good nature, it is not only used toevaluate the algorithm results, can be used in other algorithms. Lagrangian relaxationalgorithm to improve the efficiency of the algorithm consists of two parts: one is toprovide the lower bound, on the other becomes to the evolution of the Lagrangianrelaxation heuristic algorithm.