# Download

**Tools available for the research in this site are freeware. For more functions of these tools the readers may address to the authors.**

**1. ABSPhere**

**ABSphere**is based on the rigorous theory to calculate various physical quantities in the interaction of a light beam with a homogeneous spherical particle or with a concentric layered refractive index gradient. The user-friendly interface facilitates the usagee of the software and the interpretation of results.

**ABSphere**allows to calculate: (1) scattering diagrams, (2) radiation pressure (force) and torque exerted by a beam of light on the particle, (3). internal and external electromagnetic fields, (4). extinction, scattering and absorption sections. The forms of the beam considered in ABSphere: (1) circular Gaussian beam. (2) elliptical Gaussian beam. (3) Dungnut beam of 4 different polarizations, (4). Bessel beam (5). Any form of a beam defined by the beam shape provided by the user with a file.

*The original version of the software is licenced under n°IDDN.FR.001.130022.000.R.P.2014.000.30000*

**You can read the elated publications**:

**You can read the elated publications**:

- K. F. Ren, G. Grehan and G. Gouesbet, "Localized approximation of generalized Lorenz-Mie theory : faster algorithm for computations of beam shape coefficients gmn,
*Part. Part. Syst.Charact.*, 9, 144-150, 1992 - K. F. Ren, G. Grehan and G. Gouesbet, "Radiation pressure forces exerted on a particle arbitrarily located in a Gaussian beam by using the generalized Lorenz-Mie theory, and associated resonance effects,
*Opt. Commun.*, 108, 343-354, 1994 - K. F. Ren, “Diffusion des Faisceaux Feuille Laser par une Particule Sphérique et Applications aux Ecoulements Diphasiques”, thèse soutenue à l’Université de Rouen, le 31 mars 1995
- K. F. Ren, G. Grehan and G. Gouesbet, “Prediction of reverse radiation pressure by generalized Lorenz-Mie theory”,
*Appl. Opt.*, 35(15), pp. 2702-2710, 199vK. F. Ren, G. Gouesbet and G. Grehan, "The integral localized approximation in generalized Lorenz-Mie theory,*Appl. Opt.*, 37(19), pp.4218-4225, 1998 - K. F. Ren* "Numerical techniques for shaped beam scattering by large and absorbing particle using variable separation methods" , 10th Intern. Conf. on Laser-light and Interactions with Particles (LIP 2014), Marseille (France), Aug. 25-29th, 2014
**Keynote** - K. F. Ren, "ABSphere - Software for calculation of all physical properties of any shaped beam by spherical particle" , 10th Intern. Conf. on Laser-light and Interactions with Particles (LIP 2014), Aug. 25-29th, 2014, Marseille (France) 2014

**2. VCRMEll2D**

**VCRMEll2D**is the first realization of the Vectorial Complex Ray Model - VCRM developed by the author. By introducing the property of the Wavefront in the geometrical optics model, the VCRM can calculate very precisely the interaction of a wave of any form with a object of smooth surface and size much larger than the wavelength of the incident beam.

**VCRMEll2D**is designed to predict the scattering of a

**plane wave**by an

**ellipsoid**in the plane of symmetry. With this software, we can follow step by step the path of rays in a particle and to check the variation of the curvature radii of the wavefront by the divergence / convergence on the particle surface. It also allows to calculate the scattering diagrams in all directions.

The scattering diagram ccalculated by the VCRM is compared in this figure with a experimental result.

=divpavagraphname="paragraph0" style="padding: 0px; margin: 0px; color: rgb(68, 68, 68); font-family: 'Segoe UI'; font-size: 14px; line-height: 20px;"> *The original version of the software is licenced under n°IDDN.FR.001.130023.000.R.P.2014.000.30000*

**You can read the elated publications**:

**You can read the elated publications**:

**K. F. Ren*,**F. Onofri, C. Rozé and T. Girasole, "Vectorial complex ray model and application to two-dimensional scattering of plane wave by a spheroidal particle",*Opt. Lett*.,**36**(3):370-372, 2011**K. F. Ren***, C. Rozé and T. Girasole, "Scattering and transversal divergence of an ellipsoidal particle by using Vectorial Complex Ray Model",*J. Quant. Spectrosc. Radiat. Transfer,***113**:2419–2423, 2012- K. Jiang, X. Han,
**K. F. Ren***, "Scattering from an elliptical cylinder by using the vectorial complex ray model",*Appl. Opt.,***51**(34):8159-8167, 2012 - K. Jiang, X. Han,
**K. F. Ren***, "Scattering of a Gaussian beam by an elliptical cylinder using the vectorial complex ray model",*J. Opt. Soc. Am. A.,*30(8):1548-1556, 2013 - M. Yang, Y. Wu, X. Sheng and
**K. F. Ren***, "Comparison of scattering diagrams of large non-spherical particles calculated by VCRM and MLFMA",*J. Quant. Spectrosc. Radiat. Transfer*, 10.1016/j.jqsrt. 2015.01.024, 2015 **K. F. Ren***, "Airy theory revisited and caustics in Vectorial Complex Ray Model", 7th World Congress on Particle Technology (WCPT7), in Beijing (China), May 19 to May 22, 2014