Multiple scattering of electromagnetic waves by a crowded monolayer of spheres: Application to migration imaging films

The Foldy-Lax hierarchy of equations for the scattering of electromagnetic waves by a monolayer of spheres was reduced to a set of algebraic equations and solved. The Percus-Yevick equation was used to describe the spatial correlation between the particles. Calculations of the optical densities of monolayers of Se spheres of diameters 0.2–0.3 μ were in good agreement with experimental results on particle-migration imaging films. The calculation also predicts an optimal particle size for such films.

[1]  S. Levine,et al.  Scattering of electromagnetic waves by two equal spherical particles , 1968 .

[2]  W. White,et al.  Optical Constants of Evaporated Selenium Films by Successive Approximations , 1959 .

[3]  M. Lax.  MULTIPLE SCATTERING OF WAVES. II. THE EFFECTIVE FIELD IN DENSE SYSTEMS , 1952 .

[4]  L. Foldy,et al.  The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers , 1945 .

[5]  S. Stein.  ADDITION THEOREMS FOR SPHERICAL WAVE FUNCTIONS , 1961 .

[6]  Y. Lo,et al.  Scattering by Two Spheres , 1966 .

[7]  R. Tough.  The transformation properties of vector multipole fields under a translation of coordinate origin , 1977 .

[8]  Michael Danos,et al.  Multipole Matrix Elements of the Translation Operator , 1965 .

[9]  O. Hunderi,et al.  Optical absorption in discontinuous gold films , 1977 .

[10]  Y. C. Cheng,et al.  Optical properties of particle migration imaging film. , 1978, Applied optics.

[11]  O. Cruzan.  Translational addition theorems for spherical vector wave functions , 1962 .

[12]  V. Twersky.  Coherent electromagnetic waves in pair‐correlated random distributions of aligned scatterers , 1978 .

[13]  J. Treu.  Mie scattering, Maxwell Garnett theory, and the Giaever immunology slide. , 1976, Applied optics.

[14]  K. Yeh,et al.  Multiple Scattering of Electromagnetic Waves by Random Scatterers of Finite Size , 1964 .

[15]  M. Lax.  Multiple Scattering of Waves , 1951 .

[16]  Fred Lado,et al.  Equation of State of the Hard‐Disk Fluid from Approximate Integral Equations , 1968 .