منابع مشابه
Time-reversal violation as loop-antiloop symmetry breaking: the Bessel equation, group contraction and dissipation
We show that the Bessel equation can be cast, by means of suitable transformations, into a system of two damped/amplified parametric oscillator equations. The relation with the group contraction mechanism is analyzed and the breakdown of loop-antiloop symmetry due to group contraction manifests itself as violation of time-reversal symmetry. A preliminary discussion of the relation between some ...
متن کاملSelf-averaging in time reversal for the parabolic wave equation
We analyze the self-averaging properties of time-reversed solutions of the paraxial wave equation with random coefficients, which we take to be Markovian in the direction of propagation. This allows us to construct an approximate martingale for the phase space Wigner transform of two wave fields. Using a priori L-bounds available in the time-reversal setting, we prove that the Wigner transform ...
متن کاملSmoluchowski equation and the colloidal charge reversal.
Smoluchowski equation and the Monte Carlo simulations are used to study the conditions leading to the reversal of the electrophoretic mobility. Zeta (zeta) potential is identified with the diffuse potential at the shear plane which, we argue, must be placed at least one ionic diameter away from the colloidal surface. For sufficiently strongly charged colloids, zeta potential changes sign as a f...
متن کاملConstruction of Bessel-Gauss Type Solutions for the Telegraph Equation
The specific solutions of the telegraph equation for 3D space are constructed. These solutions enable us to obtain the wavefunctions which are akin to the Bessel-Gauss wave modes. The solutions of the homogeneous and inhomogeneous equations are compared. The application of the obtained wave structures to the description of the electromagnetic fields in a special case of inhomogeneity of the med...
متن کاملBessel Beams 2 Solution 2.1 Solution via the Wave Equation
where ρ = √ x2 + y2. Then, the problem is to deduce the form of the radial function f(ρ) and any relevant condition on the wave number kz, and to relate that scalar wave function to a complete solution of Maxwell’s equations. The waveform (1) has both wave velocity and group velocity equal to ω/kz. Comment on the apparent superluminal character of the wave in case that kz < k = ω/c, where c is ...
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 Physics: Conference Series
سال: 2015
ISSN: 1742-6596
DOI: 10.1088/1742-6596/631/1/012023