## LFNM 2003: Proceedings of LFNM 2003 : 5th International Workshop on Laser and Fiber-optical Networks Modeling : Alushta, Crimea, Ukraine, 19-20 September 2003 |

### From inside the book

Results 1-3 of 28

Page 122

Usually the estimations are carried out for non relativistic electron - and ion -

beams in a dipole

consider the relativistic corrections to within v ? / c . It is shown , that the

relativistic ...

Usually the estimations are carried out for non relativistic electron - and ion -

beams in a dipole

**approximation**( in a zero vlc**approximation**) . In this paper weconsider the relativistic corrections to within v ? / c . It is shown , that the

relativistic ...

Page 180

To solve the equation ( 1 ) the field

functions was used E ( 1 , Q ) = LAY " ( 1 , 9 ) , Y . " ( 1 , 0 ) = 1 , " ( ? ) exp [ img – p

? / 2 ) , ( 2 ) where l ' are the Laguerre polynomials , m = 0 , 11 , 2 , . . . , EM , N = 0

, 1 ...

To solve the equation ( 1 ) the field

**approximation**by the set of orthogonalfunctions was used E ( 1 , Q ) = LAY " ( 1 , 9 ) , Y . " ( 1 , 0 ) = 1 , " ( ? ) exp [ img – p

? / 2 ) , ( 2 ) where l ' are the Laguerre polynomials , m = 0 , 11 , 2 , . . . , EM , N = 0

, 1 ...

Page 216

The first

+ D , Av - D , n = 0 . where u - , v - and n - indices signify the partial derivatives of

D over u , v and n20 respectively . Simultaneous numerical solution of Eqs . ( 5 ) ...

The first

**approximation**of perturbation theory gives the following equation : D , au+ D , Av - D , n = 0 . where u - , v - and n - indices signify the partial derivatives of

D over u , v and n20 respectively . Simultaneous numerical solution of Eqs . ( 5 ) ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

LFNM Plenary Sessions | 7 |

Transformation of the Polarization Distribution in the CrossSection of Light Beam by Self | 18 |

Extraction of Spectra and Theresholds from FullWave Lasing Eigenvalue Problems Invited | 19 |

Copyright | |

42 other sections not shown

### Other editions - View all

### Common terms and phrases

active allows amplifiers amplitude analysis angle application approximation band beam calculated carrier cavity characteristics coefficient complex components computational considered constant core corresponding decreases dependence described determined device dielectric diffraction direction dispersion distance distribution dynamics e-mail effective electric Electronics energy equation erbium fiber field Figure frequency function gain grating IEEE incidence increase initial intensity interaction laser layers length light losses material matrix measurements medium method mode modulation nonlinear normal numerical observed obtained operation optical output parameters pattern periodic phase photonic crystal Physics plane polarization possible presented problem propagation properties pulse pumping quantum radiation radius range REFERENCES reflection refractive index region resonance scattering shown shows signal simulation soliton solution spatial structure temperature thickness threshold transmission transverse Ukraine University vector wave waveguide wavelength width