Multiple-Scattering Noise in One Dimension: Universality through Localization-Length Scaling

Ping Sheng, Zhao-Qing Zhang, Benjamin White, and George Papanicolaou
Phys. Rev. Lett. 57, 1000 – Published 25 August 1986
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Abstract

We present a study of nonstationary multiple-scattering noise resulting from pulse reflection from a one-dimensional randomly layered half-space. It is shown that the noise power spectrum exhibits model-independent universal behavior when it is analyzed in terms of a single dimension-less variable x, defined as the ratio between the mean distance traveled by the pulse and the frequency-dependent localization length. Results of numerical simulation indicate that the spectrum is a peaked function of x, where the height of the peak defines the expected value of a noise upper bound.

  • Received 16 May 1986

DOI:https://doi.org/10.1103/PhysRevLett.57.1000

©1986 American Physical Society

Authors & Affiliations

Ping Sheng, Zhao-Qing Zhang*, Benjamin White, and George Papanicolaou

  • Corporate Research Science Laboratories, Exxon Research & Engineering Company, Annandale, New Jersey 08801

  • *On leave from San Francisco State University, 1600 Halloway, San Francisco, CA 94132, and Institute of Physics, Academia Sinica, People's Republic of China.
  • Permanent address: Courant Institute of Mathematical Sciences, 251 Mercer St., New York, NY 10012.

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Vol. 57, Iss. 8 — 25 August 1986

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