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Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
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Total internal reflection and evanescent gain.

Jon Olav Grepstad1, Johannes Skaar

  • 1Department of Electronics and Telecommunications, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway; and University Graduate Center, NO-2027 Kjeller, Norway.

Optics Express
|November 24, 2011
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Summary

Evanescent gain may appear during total internal reflection in active low-index media, depending on material properties. Under certain conditions, instabilities are overcome, allowing for evanescent gain in optical systems.

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Area of Science:

  • Optics and Photonics
  • Electromagnetism
  • Materials Science

Background:

  • Total internal reflection (TIR) is a phenomenon occurring at the interface of two media with different refractive indices when light strikes at a large angle of incidence.
  • Typically, TIR involves light moving from a high-refractive-index medium to a low-index medium.
  • The behavior of light at the interface when the low-index medium possesses active (gain) properties is less understood.

Purpose of the Study:

  • To investigate the conditions under which evanescent gain can arise in active low-index media during total internal reflection.
  • To explore the role of causality and the properties of the permittivity function in determining the presence or absence of evanescent gain.
  • To analyze instabilities associated with gain media and their impact on evanescent wave propagation.

Main Methods:

  • Theoretical analysis invoking the fundamental principles of causality.
  • Examination of the analytic and global properties of the permittivity function for active media.
  • Investigation of instabilities in systems with infinite transverse dimensions.

Main Results:

  • Evanescent gain is shown to be dependent on the specific characteristics of the permittivity function of the active medium.
  • An absolute instability is identified for conventional, weak gain media with infinite transverse dimensions.
  • Conditions are established under which this instability can be mitigated or eliminated, permitting evanescent gain.

Conclusions:

  • The appearance of evanescent gain is not guaranteed and is critically linked to the material's optical properties and causality.
  • Instabilities in active media can prevent evanescent gain, but these can be overcome in specific scenarios.
  • This research provides a framework for understanding and potentially engineering evanescent gain in optical devices.