Acoustic behavior of ordered droplets in a liquid: A phase space approach
- Programa de Ingenieria Molecular, Instituto Mexicano del Petroleo, Lazaro Cardenas no. 152, 07739 Mexico, D.F. (Mexico)
- Centro de Fisica Aplicada y Tecnologia Avanzada, Universidad Nacional Autonoma de Mexico, Apartado Postal 1-1010, 76000 Queretaro, Queretaro (Mexico)
The transmission of an acoustical signal through a spatial arrangement consisting of a bidimensional crystal of droplets (liquid spheres) immersed into another liquid is analyzed. As a first approximation, the paraxial case is solved by considering a set of acoustical lenses which allow us to model the effect of each droplet on the signal. An expression for the Wigner distribution function that lets us evaluate the corresponding image, diffraction pattern, and even the output signal of any given paraxial input signal to that crystalline substrate is obtained, with particular emphasis on the case of an incoming plane wave. To solve the nonparaxial situation, a generalization of the concept of focal distance interpreting every sphere as a superposition of concentric rings of different radius, which permits us to find a general expression for the Wigner distribution function is proposed.
- OSTI ID:
- 20641402
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 71, Issue 3; Other Information: DOI: 10.1103/PhysRevE.71.036603; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Focusing of light by polymer-dispersed liquid-crystal films with nanosized droplets
Phase-space spinor amplitudes for spin-1/2 systems