A multi-wavenumber theory is formulated to predict eddy diffusivities. It expands on earlier singlewavenumber theories and includes the wide range of wavenumbers encompassed in eddy motions. In the limiting case in which ocean eddies are only composed of a single wavenumber, the multi-wavenumber theory is equivalent to the single wavenumber theory, and both show mixing suppression by the mean f...

This paper presents a methodology for performing complex wavenumber ray tracing in which both wave trajectory and amplitude are calculated. This ray-tracing framework is first derived using a scaling in which the imaginary wavenumber component is assumed to be much smaller than the real wavenumber component. The approach, based on perturbation methods, is strictly valid when this scaling condit...

This paper studies axially symmetric vibrations of a liquid-filled poroelastic thin cylinder saturated with two immiscible liquids of infinite extent that is surrounded by an inviscid elastic liquid. By considering the stress free boundaries, the frequency equation is obtained. Particular case, namely, liquid-filled poroelastic cylinder saturated with single liquid is discussed.  When the waven...

The spectroscopic wavenumber is a proxy for the optical frequency, and avoids the necessity of writing factors of c everywhere. For optical and infrared radiation the wavenumber is conveniently expressed in units of inverse micrometers, thus a wavelength of 500 nm corresponds to 2.00 μm−1. The circular or angular wavenumber k = 2π/λ = 2πσ is often used, particularly in the context of the wave e...

Measurements of frequency spectra of pressure along a wind-tunnel wall have been made by single microphones and by a longitudinal array of four flush 0.8-inch circular microphones connected with alternating and with common phase. The alternating-phase array was designed to suppress by its wavenumber filtering the background acoustic duct noise at frequencies near 3 kHz. The measured levels set ...

Most array signal processing systems u e delay-and-sum beamforming to estimate source bearings. This paper demonstrates the close relationship between beamforming and frequency-wavenumber spectrum analysis. The latter approach as computational dvantages over beamforming when the noise is spatially correlated. The wavenumber approach is used to'derive the array response of a general inear or pla...

S U M M A R Y The scattering coefficient is one of the most fundamental parameters by which to quantify the scattering intensity for waves as a function of scattering angle and wave frequency. This study presents a derivation of the scattering coefficient for linear long-wave tsunami equations in randomly fluctuating sea-bottom topography using the first-order Born approximation. The scattering...