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Frequency Conversion Cascade by Crossing Multiple Space and Time Interfaces.

Benjamin Apffel1, Emmanuel Fort1

  • 1Institut Langevin, ESPCI Paris, PSL University, CNRS, 1 rue Jussieu, 75005 Paris, France.

Physical Review Letters
|February 25, 2022
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Summary
This summary is machine-generated.

Researchers developed a novel space-time cascade to control wave frequency without nonlinear effects. This method enables large frequency shifts using iterated transformations and avoids demanding metamaterials, demonstrated with water waves.

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Area of Science:

  • Wave physics
  • Metamaterials
  • Nonlinear optics

Background:

  • Time-varying media offer potential for controlling wave frequency without nonlinear effects.
  • Current limitations in frequency conversion are tied to the dynamics of propagation property variations.
  • Existing methods often require high frequencies or subwavelength metamaterials.

Purpose of the Study:

  • To propose a new concept for achieving arbitrary large frequency shifts.
  • To overcome limitations of existing frequency conversion techniques.
  • To demonstrate a method that avoids demanding metamaterial requirements.

Main Methods:

  • Introduced a space-time cascade concept for iterated elementary transformation steps.
  • Utilized an intermediate medium with noncommutative space and time interfaces for wave packet manipulation.
  • Implemented the concept using water waves controlled by electrostriction.

Main Results:

  • Achieved arbitrary large upward and downward frequency conversions.
  • Demonstrated frequency conversion over 4 octaves with water waves.
  • Transmitted energy yield is determined by the frequency ratio, independent of impedance mismatch.

Conclusions:

  • The space-time cascade offers a novel approach to frequency conversion.
  • This method successfully bypasses the need for high-frequency or subwavelength metamaterials.
  • The technique is versatile, enabling significant frequency shifts in wave phenomena.