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Bragg Scattering from a Random Potential.

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Wave propagation in 2D exhibits surprising Bragg diffraction without periodic structures. This phenomenon, observed in random wave superposition, is experimentally verifiable with atomic beams in chaotic cavities.

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Area of Science:

  • Wave phenomena
  • Quantum mechanics
  • Optics

Background:

  • Wave propagation typically requires periodic structures for phenomena like diffraction.
  • Random superposition of waves usually leads to complex, non-diffractive patterns.
  • Resonant scattering phenomena can deviate from standard quantum mechanical rules.

Purpose of the Study:

  • To investigate wave propagation in a 2D system constructed from random superposition of plane waves.
  • To explore the possibility of observing diffraction patterns in the absence of periodic structures.
  • To analyze the nature of scattering in this non-periodic, resonant system.

Main Methods:

  • Constructing a 2D wave propagation model via random superposition of plane waves across all angles.
  • Analyzing the resulting wave patterns for diffraction characteristics.
  • Investigating the resonant scattering properties and their deviation from Fermi's golden rule.

Main Results:

  • Observed sharp Bragg diffraction patterns, analogous to powder diffraction, despite the lack of periodicity.
  • Identified partially resonant scattering, indicating the inapplicability of Fermi's golden rule.
  • Demonstrated a novel wave propagation behavior in a disordered system.

Conclusions:

  • Bragg diffraction can occur in 2D systems with random wave superposition, challenging conventional understanding.
  • The observed resonant scattering highlights limitations of standard quantum scattering theories in certain conditions.
  • The phenomenon is experimentally feasible using atomic beams in chaotic optical cavities.