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Related Concept Videos

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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General linewidth formula for steady-state multimode lasing in arbitrary cavities.

Y D Chong1, A Douglas Stone

  • 1Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore. yidong@ntu.edu.sg

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

A new formula for laser linewidth in multimode nonlinear lasers is derived using scattering analysis. This advanced theory generalizes previous models and avoids phenomenological parameters, offering a more accurate understanding of laser behavior.

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Area of Science:

  • Laser physics
  • Quantum optics
  • Nonlinear optics

Background:

  • The laser linewidth is a critical parameter characterizing laser stability and performance.
  • Existing theories, like the Shawlow-Townes-Petermann theory, have limitations in describing complex laser systems.
  • The Petermann factor accounts for gain and openness but often relies on phenomenological parameters.

Purpose of the Study:

  • To derive a generalized formula for laser linewidth in arbitrary cavities operating in the multimode nonlinear regime.
  • To develop a theoretical framework that incorporates nonlinear scattering effects beyond previous treatments.
  • To provide a method for calculating linewidth using fundamental laser properties without empirical parameters.

Main Methods:

  • Derivation of a laser linewidth formula using scattering analysis of semiclassical laser theory solutions.
  • Generalization of previous treatments including gain and openness effects (Petermann factor).
  • Expression of linewidth using quantities from the nonlinear scattering matrix.

Main Results:

  • A novel formula for laser linewidth applicable to arbitrary cavities in the multimode nonlinear regime.
  • The derived linewidth depends on the nonlinear scattering matrix, computable from steady-state ab initio laser theory.
  • Demonstration that low cavity quality factor and significant dielectric dispersion can lead to deviations from the Shawlow-Townes-Petermann theory.

Conclusions:

  • The developed theory provides a more comprehensive description of laser linewidth in complex systems.
  • The reliance on the nonlinear scattering matrix offers a path to ab initio calculations.
  • The findings highlight the importance of cavity properties and material dispersion in determining laser linewidth, particularly in nonlinear regimes.