S 2.2共轴球面腔的稳定性条件·光线传输矩阵(optical ray matrices or ABCDmatrices)·腔内光线往返传播的矩阵表示·共轴球面腔的稳定性条件·常见的几种稳定腔、非稳腔、临界腔·稳区图
§2.2 共轴球面腔的稳定性条件 • 光线传输矩阵(optical ray matrices or ABCD matrices) • 腔内光线往返传播的矩阵表示 • 共轴球面腔的稳定性条件 • 常见的几种稳定腔、非稳腔、临界腔 • 稳区图
一光线传输矩阵，腔内任一傍轴光线在某一给定的横截面内都可以由两个坐标参数来表征：光线离轴线的距离r、光线与轴线的夹角。规定：光线出射方向在腔轴线的上方时，为正；反之，为负。，光线在自由空间行进距离L时所引起的坐标变换为LTL =0
一 光线传输矩阵 • 腔内任一傍轴光线在某一给定的横截面内都 可以由两个坐标参数来表征：光线离轴线的 距离r、光线与轴线的夹角。规定：光线出 射方向在腔轴线的上方时， 为正；反之， 为负。 • 光线在自由空间行进距离L时所引起的坐标 变换为 = 0 1 1 L TL
球面镜对傍轴光线的002变换矩阵为（R为球R面镜的曲率半径）球面镜对傍轴光线的反射变换与焦距为f-R/2的薄透镜对同一光线的透射变换是等效的。用一个列矩阵描述任一光线的坐标，用一个二阶方阵描述入射光线和出射光线的坐标变换。该矩阵称为光学系统对光Ba线的变换矩阵0.0DC
− = − = 1 1 1 0 1 2 1 0 R f TR 球面镜对傍轴光线的 变换矩阵为（R为球 面镜的曲率半径） 球面镜对傍轴光线的反射变换与焦距为f=R/2的 薄透镜对同一光线的透射变换是等效的。 用一个列矩阵描述任一光线的坐标，用一个二 阶方阵描述入射光线和出射光线的坐标变换。 2 1 2 1 r r A B C D = 该矩阵称为光学系统对光 线的变换矩阵
Ray optics---by which we mean the geometricallaws for optical ray propagation, withoutincluding diffraction---is a topic that is not onlyimportant in its own right, but also very useful inunderstanding the full diffractive propagation oflight waves in optical resonators and beams.. Ray matrices or paraxial ray optics provide ageneral way of expressing the elementary lenslaws of geometrical optics, or of spherical-waveoptics, leaving out higher-order aberrations, in aform that many people find clearer and moreconvenient
• Ray optics-by which we mean the geometrical laws for optical ray propagation, without including diffraction-is a topic that is not only important in its own right, but also very useful in understanding the full diffractive propagation of light waves in optical resonators and beams. • Ray matrices or paraxial ray optics provide a general way of expressing the elementary lens laws of geometrical optics, or of spherical-wave optics, leaving out higher-order aberrations, in a form that many people find clearer and more convenient
: Ray optics and geometrical optics in fact containexactly the same physical content, expressed indifferent fashion· Ray matrices or “ABCD matrices"’ are widelyused to describe the propagation of geometricaloptical rays through paraxial optical elements,such lenses, curved mirrors, and “ducts. Theseray matrices also turn out to be very useful fordescribing a large number of other optical beamand resonator problems, including evenproblems that involve the diffractive nature oflight
• Ray optics and geometrical optics in fact contain exactly the same physical content, expressed in different fashion. • Ray matrices or “ABCD matrices” are widely used to describe the propagation of geometrical optical rays through paraxial optical elements, such lenses, curved mirrors, and “ducts”. These ray matrices also turn out to be very useful for describing a large number of other optical beam and resonator problems, including even problems that involve the diffractive nature of light