Rayleigh regime

Several authors(22 30) have contributed to developing the formalism with which the effects of an interface on a dipole inside or near a particle can be treated. In the Rayleigh regime (/ > a), Gersten and Nitzan have made several contributions to the theory of molecular decay rates and energy transfer/22 24) Kerker et alP solved the boundary value problem for a dipole and a spherical particle of arbitrary size, and NcNulty et al.,(26) Ruppin,(27) Chew,(28) and Druger and co-workers(29,30) have used the solution to solve some of the problems of interest. 

By first considering the Rayleigh regime and expanding the complex scattering coefficients in power series of a, it can be shown that the extinction can be approximated by (1, 3, 17)... 

Therefore, in principle, the parameters of the particle size distribution can be estimated from specific turbidity measurements at different wavelengths. This is not true, however, in the Rayleigh regime (i.e. small particles, (D/Am) less than 0.1). In this case, the extinction coefficient is proportional to (D/Am)4 and... 

A scattering angle-independent Rayleigh regime where the cross section is AP times the monomer Rayleigh cross section. 

In summary, q is the length scale or resolution limit of a scattering experiment. Therefore, the dimensionless product qa, where a is a measure of the extent of an object, determines the boundary of the Rayleigh regime ... 

Lundgren also utilized a similar BEM technique to model the nonlinear effect of a column jet subject to infinitesimal disturbances in the Rayleigh regime [51]. 

Having thus defined the operation window for producing laminar Uquid jets to run droplet stream generators in the Rayleigh regime as... 

It has been some decades before the theoretical works by Rayleigh, when Savart discovered in his experiments that periodic vibrations may influence the break-up of a capillary jet such that the frequency of the vibrations may control the formation of droplets, and, therefore, for a given liquid flow rate, their size [13]. The technique to control the break-up of laminar liquid jets in the Rayleigh regime by mechanical vibrations is well established, and there are many devices available on the market and used in research that work on this principle. 

---