Design method of two-dimensional quasi-periodic optical superlattice structure for generating non-colinear three-wavelength laser

Abstract

The invention discloses a design method of a two-dimensional quasi-periodic optical superlattice structure for generating a non-colinear three-wavelength laser. The design method includes the following steps 1) determining two base wave sources, taking the three wave vector mismatch quantities in the non-linear process generated by the two base wave sources in the non-collinear three-wavelength laser process as the three reciprocal lattice vectors of the two-dimensional quasi-periodic optical superlattice in the reciprocal space, and optimizing the size and direction of the three reciprocal lattice vectors according to the Fourier expansion coefficients of the reciprocal lattice vectors; and 2) performing orthogonality relation on the reciprocal lattice vectors obtained in the step 1) to obtain the three base vectors of a positive space, forming three parallelograms by the three base vectors, filling the whole positive space with the three parallelograms according to the quasi-periodic sequence, taking the vertexes of the parallelograms as the center of the two-dimensional quasi-periodic optical superlattice circular domain to obtain the two-dimensional quasi-periodic optical superlattice. The non-colinear three-wavelength laser can be realized by the two-dimensional quasi-periodic optical superlattice structure, and more conveniences can be provided for the quantum optics filed.

Description

technical field [0001] The invention belongs to the field of lattice structure design, in particular to a method for designing a two-dimensional quasi-periodic optical superlattice structure for generating non-collinear three-wavelength lasers. Background technique [0002] In nonlinear optics, compensation of the phase mismatch between parametric lights is often required due to material dispersion and efficient nonlinear processes. There are two methods to compensate phase mismatch: birefringent phase matching and quasi-phase matching. Quasi-phase matching is to use the reciprocal lattice vector provided by the optical superlattice to compensate the phase mismatch between the incident light and the parametric light. The structure produced by quasi-phase matching is called optical superlattice, and one-dimensional periodic optical superlattice usually provides a reciprocal lattice vector and participates in a nonlinear process. In many fields, such as the generation of mul...

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Problems solved by technology

The two-dimensional periodic optical superlattice cannot realize the nonlinear process at any wavelength in the light transmission band due to the limitation of the degree of freedom. The design of the two-dimensional quasi-periodic optical superlattice is more flexible. It not only provides collinear reciprocal lattice vectors, but also Non-collinear reciprocal lattice vectors can be provided. Two-dimensional quasi-periodic optical superlattices are usually designed using the method of Penrose mosaic. This method is composed of two parallelograms, which cannot be realized due to the limitation of degrees of freedom any nonlinear process

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