A New Imaginary Term in the Second-Order Nonlinear Susceptibility from Charged Interfaces

Second-Order Susceptibility from a Tight-Binding Hamiltonian

Using a new formalism that modiies a tight-binding Hamiltonian to include interaction with a time-dependent electromagnetic eld, we have obtained an analytical expression for the second-order susceptibility. This expression has been used to calculate the energy dependence of (2) (!) for GaAs. The results are in agreement with previous calculations and with available experimental data.

Fourth-order numerical solution of a fractional PDE with the nonlinear source term in the electroanalytical chemistry

The aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical chemistry. The space fractional derivative is described in the Riemann-Liouville sense. In the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the Grunwald- Letnikov discretization of the Ri...

Seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations

First - and Second - Order Charged Particle Optics

2 A General Firstand Second-Order Theory of Beam Transport Optics . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.1 The Vector Differential Equation of Motion . . . . . . . . 2.2 The Coordinate System . . . . . . . . . . . . . . . . .’ . 2.3 Expanded Form of a Magnetic Field Having Median Plane Symmetry . . . . . . . . . . . . . . . . . . . . . . 2.4 Field Expansion to Second Order Only ....

Determination of the second-order nonlinear susceptibility elements of a single nanoparticle

We present a technique based on the use of coherent confocal microscopy that can be used to estimate, to within a scale factor, all of the elements of the second-order susceptibility tensor of a single pointlike nanoparticle under permutation and Kleinman symmetry. An estimate of the three-dimensional position of a nanoparticle is also obtained. A forward model for the problem is presented and ...