Debye representation of dispersive focused waves
نویسندگان
چکیده
منابع مشابه
Rayleigh-Debye scattering with focused laser beams.
A focused beam technique has been developed for diagnosing the characteristics of individual particles within a polydisperse ensemble. In the Rayleigh-Debye approximation the scattered fields are related to the orientation and properties of a scatterer by means of explicit analytic formulas. The results simplify when the particle size is small compared to the minimum beam diameter.
متن کاملScattered Field Fdtd Formulations for Debye Dispersive Media
Astract ---New implementation of scattered field FDTD formulations of dispersive material are employed yielding accurate and mathematically compact procedures. This work is based on the application of the Z-transform on the Debye model representing the dispersion in conjunction with the relation between the electric field and the displacement current. The result is an approximate frequency doma...
متن کاملRefraction of dispersive shock waves
We study a dispersive counterpart of the classical gas dynamics problem of the interaction of a shock wave with a counter-propagating simple rarefaction wave often referred to as the shock wave refraction. The dispersive shock wave (DSW) refraction due to its head-on collision with the centred rarefaction wave (RW) is considered in the frameworks of the one-dimensional defocusing nonlinear Schr...
متن کاملDispersive Hydrodynamics: the Mathematics of Dispersive Shock Waves and Applications
Dispersive hydrodynamics is the domain of applied mathematics and physics concerned with fluid motion in which internal friction, e.g., viscosity, is negligible relative to wave dispersion. In conservative media such as superfluids, optical materials, and water waves, nonlinearity has the tendency to engender wavebreaking that is mitigated by dispersion. The mathematical framework for such medi...
متن کاملNonlinear Dispersive Waves on Trees
We investigate the well-posedness of a class of nonlinear dispersive waves on trees, in connection with the mathematical modeling of the human cardiovascular system. Specifically, we study the Benjamin-Bona-Mahony (BBM) equation, also known as the regularized long wave equation, posed on finite trees, together with standard junction and terminal boundary conditions. We prove that the Cauchy pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Optical Society of America A
سال: 2007
ISSN: 1084-7529,1520-8532
DOI: 10.1364/josaa.24.000675