Nonlinear behavior of negative phase velocity metamaterials

Allan Boardman; Neil King; Yuriy Rapoport

doi:10.1117/12.681601

30 August 2006 Nonlinear behavior of negative phase velocity metamaterials

Allan Boardman, Neil King, Yuriy Rapoport

Proceedings Volume 6320, Complex Photonic Media; 63200C (2006) https://doi.org/10.1117/12.681601
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

Negative phase velocity metamaterials (NPM) are engineered media currently enjoying a surge of interest due to their interesting properties and potential applications. Their nonlinear behaviour will be intrinsic to the Holy Grail quest for power control. This is a hot topic that is only just being explored as evidenced by a rapidly increasing number of publications over the past few years. With the introduction of power comes the possibility of solitons and it is important to recognise that damping, arising from both the environment and the material, must be offset by the introduction of gain. In this context the investigation considers what are known as dissipative solitons, within a pumping, multi-stable configuration, designed as a ring or Fabry-Perot cavity. Several exciting scenarios will be presented and particular attention is devoted to the nonlinearity displayed by well-known 'artificial' molecules such as split rings and omega particles. The desire to create metamaterials that reach out to optical frequencies is acknowledged through a discussion of scalability. Detailed studies of the cavity stability regimes lead to some novel possibilities for cavity control. The presentation will be rounded off with a generalised theory of metamaterial behaviour in nonlinear environments that is based upon a novel approach using what is sometimes called the nonlinear Lorentz lemma. Extensive new numerical results will be used to illustrate the concepts outlined above.

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Allan Boardman, Neil King, and Yuriy Rapoport "Nonlinear behavior of negative phase velocity metamaterials", Proc. SPIE 6320, Complex Photonic Media, 63200C (30 August 2006); https://doi.org/10.1117/12.681601

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KEYWORDS

Metamaterials

Solitons

Diffraction

Mirrors

Phase velocity

Fabry–Perot interferometers

Electromagnetism

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