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Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Boundary Integral Equation for Coupled Microresonator Structures

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Recent Trends in Computational Photonics

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 204))

Abstract

The spectral behaviour and the real-time operation of Parity-Time (\(\mathcal {PT}\)) symmetric coupled resonators are investigated. A Boundary Integral Equation (BIE) model is developed to study these structures in the frequency domain. The impact of realistic gain/loss material properties on the operation of the \(\mathcal {PT}\)-symmetric coupled resonators is also investigated using the time-domain Transmission-Line Modelling (TLM) method. The BIE method is also used to study the behaviour of an array of PT-microresonator photonic molecules.

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Notes

  1. 1.

    This discretisation parameter is equivalent with \(\lambda _\text {sim}/100\), where \(\lambda _\text {sim}\) is the maximum simulation bandwidth in material, i.e. \(\lambda _\text {sim}=0.875\,\upmu \text {m}/3.5\).

  2. 2.

    http://ab-initio.mit.edu/wiki/index.php/Harminv.

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Author information

Authors and Affiliations

  1. Wave Modelling Research Group - School of Mathematical Sciences, University of Nottingham, Nottingham, UK

    S. Phang, G. Gradoni & S. C. Creagh

  2. George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, UK

    S. Phang, A. Vukovic, G. Gradoni, P. D. Sewell & T. M. Benson

Authors
  1. S. Phang
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  2. A. Vukovic
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  3. G. Gradoni
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  4. P. D. Sewell
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  5. T. M. Benson
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  6. S. C. Creagh
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Corresponding author

Correspondence to S. Phang .

Editor information

Editors and Affiliations

  1. Department of Electrical and Electronic Engineering, City, University of London, London, United Kingdom

    Arti Agrawal

  2. School of Electrical and Electronic Engineering, University of Nottingham, Nottingham, United Kingdom

    Trevor Benson

  3. School of Engineering, University of Glasgow, Glasgow, United Kingdom

    Richard M. De La Rue

  4. Department of Physics, King’s College, London, United Kingdom

    Gregory A. Wurtz

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Phang, S., Vukovic, A., Gradoni, G., Sewell, P.D., Benson, T.M., Creagh, S.C. (2017). Theory and Numerical Modelling of Parity-Time Symmetric Structures in Photonics: Boundary Integral Equation for Coupled Microresonator Structures. In: Agrawal, A., Benson, T., De La Rue, R., Wurtz, G. (eds) Recent Trends in Computational Photonics. Springer Series in Optical Sciences, vol 204. Springer, Cham. https://doi.org/10.1007/978-3-319-55438-9_7

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