By Professor Ferdinando Borghese Dr., Professor Paolo Denti Dr., Professor Rosalba Saija Dr. (auth.)
The scattering of electromagnetic radiation by way of nonspherical debris has develop into an more and more vital study subject during the last two decades. rather than dealing with anisotropic debris of arbitrary form, the authors think of the extra amenable challenge of aggregates of round debris. this can be a truly passable method because the optical reaction of nonspherical debris relies extra on their basic symmetry and the amount of refractive fabric than at the distinctive info in their form. The e-book addresses a large spectrum of purposes, starting from scattering houses of water droplets containing toxins, atmospheric aerosols and ice crystals to the modeling of cosmic dirt grains as aggregates.
In this prolonged moment variation the authors have encompassed the entire new subject matters bobbing up from their fresh experiences of cosmic dirt grains. hence many chapters have been deeply revised and new chapters have been extra. the hot fabric spans
- The description of the country of polarization of electromagnetic waves of common form
- The conservation theorems of mixed structures of fields and particles
- The acceptable multipole growth for waves of normal wave vector and of common nation of polarization
- A variety of new applications
- The results of radiation strain and radiation torque on cosmic dirt grains
- A examine of the morphology of cosmic dirt grains and of the distribution and polarization of the electromagnetic box within the inside of aggregated dirt grains
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Additional info for Scattering from Model Nonspherical Particles: Theory and Applications to Environmental Physics
5 Refractive Index of a Dispersion of Particles We now show that the propagation of a plane wave through a dispersion of particles can be characterized by a macroscopic refractive index that is the analogous of the refractive index of homogeneous media. We consider ﬁrst the case of a monodispersion, this term being used here in a restricted sense to indicate a dispersion of particles with identical morphology and orientation with respect to the incident ﬁeld. This restriction, which will be removed later, allows us to use the same scattering amplitude to describe the ﬁeld scattered by each particle.
E. 2 Cross Sections 35 also worth noticing that, for nonspherical particles, the scattering amplitude depends on the orientation of the particle itself with respect to the incident ﬁeld. Moreover, the condition ∇ · E S = 0 yields ∇ · E S = E0 ∇ eikr r · f + E0 eikr ∇·f =0. 6) k whence ∇·f =0. 6) shows that in the far zone the scattered ﬁeld is transverse to the direction of observation, so that, when necessary, the scattered wave can be approximated by a locally plane wave. 2 Cross Sections The scattering amplitude encompasses all the observable features of the scattering process, as it is related to the ﬂux of the electromagnetic energy that the particle scatters within the unit solid angle around the direction of obˆS .
In other words, the classiﬁcation of the multipole ﬁelds is meaningful only when the frame of reference is speciﬁed. , the optical resonances of nonspherical particles. 2 Propagation Through an Assembly of Nonspherical Scatterers In this chapter, we study the propagation of electromagnetic waves through a nonhomogeneous medium composed of a dispersion of nonspherical particles within an otherwise homogeneous isotropic matrix. Our purpose is to relate the scattering features of the individual particles to the macroscopic optical properties of the medium as a whole.