The application discloses a VCSEL cold cavity three-dimensional
vector mode solving method based on a
transmission matrix-finite element
hybrid. The method firstly constructs a complete epitaxial structure
transmission matrix model containing an oxidation limiting layer to search for a
resonance wavelength, and calculates DBR surface
admittance at the
resonance wavelength; then only the core active region is subjected to three-dimensional structured grid division and Nédélec
edge element vector finite element
discretization, and the DBR surface
admittance is embedded into the weak form of Maxwell equation as an impedance boundary condition; a generalized non-hermitian eigenvalue problem is solved to obtain a cold cavity mode; finally, LP mode automatic classification is realized through a three-level
algorithm of aperture restriction factor screening,
azimuth angle Fourier
decomposition and radial node counting. The application equivalently processes the DBR by the
transmission matrix method, reduces the FEM calculation domain by one to two orders of magnitude, greatly improves the calculation efficiency while maintaining the three-dimensional vector precision, and correctly describes the influence of the longitudinal position of the
oxide on the
resonance condition.