AN ALGEBRAIC APPROACH TO THE PROPAGATION OF WAVES AND PARTICLES IN LAYERED MEDIA

For the solution of a variety of physical problems in application to any medium it is very fruitful to split the medium in parts by introducing infinitesimal gaps. If a problem can be solved for one part, then after application of recurrent relations we obtain the solution for the whole medium. This approach is applied to the wave propagation in any periodic potential, to the diffraction of scalar radiation (neutrons, for example) from an ideal crystal and to the albedo of particles from a homogeneous medium filled with randomly distributed scatterers.