量子电子学1课件.pptVIP

Laser Beams and Resonators Paraxial Ray Analysis Wave Analysis of Beams and Resonators Laser Resonators(Finite Aperture) Paraxial Ray Analysis 1.Ray Transfer Matrix 2.Stability of Laser Resonars Paraxial Ray Analysis A B x x x1 x1 A B C D A B C D = x2 x2 Paraxial Ray Analysis d 1 d 0 1 Paraxial Ray Analysis 1 0 1 -1/f f Paraxial Ray Analysis d R1 R2 1 0 1 -2/R 1 d 0 1 1 0 1 -2/R1 1 d 0 1 1 0 2 1 -2/R Paraxial Ray Analysis A B C D n -11/2(A+D)1 Paraxial Ray Analysis d R1 R2 1 0 1 -2/R Paraxial Ray Analysis Wave Analysis of Beams and Resonators In this section the wave nature of laser beams is taken into account, but diffraction effects due to the finite size of a apertures are neglected. Wave Analysis of Beams and Resonators 高斯光束·基模 R(z) 等相位面的曲率半径 W(z) 振幅降落到中心1/e处的光斑半径 w0 Wave Analysis of Beams and Resonators 高斯光束·高阶模 方形镜→厄米特多项式 圆形镜→拉盖尔多项式 w(z)不同 相同 Wave Analysis of Beams and Resonators 高斯光束·传输 方法1 方法2 Wave Analysis of Beams and Resonators 高斯光束·自再现 R1 R2 Wave Analysis of Beams and Resonators 高斯光束·Mode Matching Laser Resonators(Finite Aperture) In this section aperture diffraction effects are taken into account. The problem of the open resonator is a difficult one and a rigorous solution is yet to be found. However, if certain simplifying assumptions are made, the problem becomes tractable and physically meaningful results can be obtained. 1) the dimensions of the resonators are large compared to the wavelength. 2) the field in the resonator is substantially transverse electromagnetic. Fresnel-Kirchhoff formulation of Huygens priciple Laser Resonators(Finite Aperture) 1 2 Laser Resonators(Finite Aperture) rectangular mirror——Hermite-Gaussian functions circular mirror——Laguerre-Gaussian functions Laser Resonators(Finite Aperture) diffraction losses andphase shifts