Numerical Matrix Method for Calculation of Resonator Mode
Youqing Wang
Abstract
Youqing Wang
Abstract
A numerical matrix method for calculation of optical resonator modes with media inside is proposed. The transmission matrix of an optical resonator is obtained by dividing the mirror into finite grids based on Fresnel-Kirchoff diffractive integral equation. Then according to self-recurrence method, eigenvalues and eigenvectors, can be calculated by solving the transmission matrix, which define the distribution of modes of optical resonator. This method will greatly benefit the research of new resonators.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
A numerical matrix method for calculation of optical resonator modes with media inside is proposed. The transmission matrix of an optical resonator is obtained by dividing the mirror into finite grids based on Fresnel-Kirchoff diffractive integral equation. Then according to self-recurrence method, eigenvalues and eigenvectors, can be calculated by solving the transmission matrix, which define the distribution of modes of optical resonator. This method will greatly benefit the research of new resonators.
Key concepts: Resonator, Eigenvalues and eigenvectors, Matrix (chemical analysis), Matrix method, Optics, Fresnel number, Transmission (telecommunications), Helical resonator