matrix algebraoptical Kerr effectoptimisation/ beam propagationoptical resonatorsABCD matrix analysisGaussian beamsKerr medianonlinear ABCD matrixA new formalism and a nonlinear ABCD matrix, derived from the aberrationless theory of self-focusing, are introduced to treat the propagation of gaussian beams in...
When a Gaussian beam is weakly diffracted by a circular aperture it can be approximated by another Gaussian beam with slightly different properties in the far field. In this Technical Note, using the relationship between these two Gaussian beams, before and after the aperture, an ABCD matrix is...
•Laserfromsteadycavity稳定腔isGaussianbeam•GaussianOpticshasbeenappliedtomanyproductdesignsuchasSwitch开关,Isolator隔离器,Circulator环形器,Filterbaseddevice设备(WDM),Collimatorandsoon.•Goodunderstandingofitcanoptimize优化theopticsdesign,analyzethesourceofproblemandmakeproductperformnewfunction.3 •Introduction...
We apply a simple ABCD matrix formalism to investigate beam propagation in left-handed material (LHM) slab systems. Firstly, we derive the expressions for the matrix elements for a single LHM slab. Based on the ABCD matrix, we obtain the field distributions both inside and outside the LHM sl...
We report the formulation of an ABCD matrix for reflection and refraction of Gaussian light beams at the surface of a parabola of revolution that separate media of different refractive indices based on optical phase matching. The equations for the spot sizes and wave-front radii of the beams are...
When a Gaussian beam passes an optical element such as a curved mirror or a lens, this can be described by transforming its parameters with an ABCD matrix according to where A, B, C and D are the components of the ABCD matrix. In textbooks, ABCD matrices for many kinds of optical ...
In this communication the non-specular interaction of the beam with, in general, multilayered, planar dielectric structure is described in terms of the ray transfer matrix formalism. A relationship between the beam deformations and a 3 × 3 ray transfer matrix of the structure is built. Transfer...
Based on the Collins integral, an analytical expression of a hollow Gaussian beam with the power-exponent-phase vortex passing through a paraxial optical system described by the ABCD matrix approach is derived. The analytical expressions for the beam propagation factors and the orbital angular ...
According to the matrix optics [10], the ABCD law of Gaussian beams is expressed byq(z2)=Aq(z1)+BCq(z1)+D,where q(z) is the complex beam parameter and z is the longitudinal distance. In addition, A, B, C, D are the elements of the corresponding transfer matrix of the optical ...
ABCD matrix for weakly apertured Gaussian beams in the far field Shaomin WangEusebio BernabeuJavier Alda Applied optics May 1991 When a Gaussian beam is weakly diffracted by a circular aperture it can be approximated by another Gaussian beam with slightly different properties in the far field. In ...