Probing a Random Medium with a Pulse
نویسندگان
چکیده
منابع مشابه
Probing a Random Medium with a Pulse *
This paper studies the reflection of pulses from a randomly layered half space. It characterizes the statistical properties of the reflected signals at the surface in a suitable asymptotic limit in which the pulse width is large compared to the typical size of the inhomogeneous layers but small compared to the macroscopic variations of the medium properties. It is shown how this characterizatio...
متن کاملNonlocal thermoelastic semi-infinite medium with variable thermal conductivity due to a laser short-pulse
In this article, the thermoelastic interactions in an isotropic and homogeneous semi-infinite medium with variable thermal conductivity caused by an ultra-short pulsed laser heating based on the linear nonlocal theory of elasticity has been considered. We consider that the thermal conductivity of the material is dependent on the temperature. The surface of the surrounding plane of the medium is...
متن کاملA Random Walk with Exponential Travel Times
Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...
متن کاملFermions in a Random Medium
We study the continuum field theory for an ensemble of directed polymers ri(t) in 1+d ′ dimensions that live in a medium with quenched point disorder and interact via short-ranged pair forces gΨ(ri − rj). In the strong-disorder (or low-temperature) regime, such forces are found to be relevant in any dimension d′ below the upper critical dimension for a single line. Attractive forces generate a ...
متن کاملDepinning in a Random Medium
We develop a renormalized continuum field theory for a directed polymer interacting with a random medium and a single extended defect. The renormalization group is based on the operator algebra of the pinning potential; it has novel features due to the breakdown of hyperscaling in a random system. There is a second-order transition between a localized and a delocalized phase of the polymer; we ...
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: SIAM Journal on Applied Mathematics
سال: 1989
ISSN: 0036-1399,1095-712X
DOI: 10.1137/0149033