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Plane-Wave Admittance Method and its Applications to Modelling Photonic Crystal Structures

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Photonic Crystals: Physics and Technology

Abstract

This chapter presents the mathematical basis of the plane-wave admittance method (PWAM), which is a combination of the method of lines and plane-wave expansion. In the first part of the chapter the most important equations are derived and the used admittance transfer procedure is reviewed. In the second part we show the examples of modelling photonic-crystals-based vertical-cavity surface-emitting lasers with PWAM. We analyse the resonant wavelength and modal losses as a function of photonic crystal etching depth. Next we discuss the photonic crystal parameters most suitable for obtaining single-mode regime. Finally, we consider the possibilities of using photonic crystals for stabilisation of the emitted-light polarisation and suggest a new design of birefringent and dichroic VCSEL.

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Author information

Authors and Affiliations

  1. Institute of Physics, Technical University of Lodz, ul. Wolczanska 219, 90-924, Poland

    Maciej Dems & Tomasz Czyszanowski

  2. Faculty of Physics, Warsaw University, ul. Pasteura 7, 02-093, Warsaw, Poland

    Rafał Kotyński

  3. Department of Applied Physics and Photonics, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussels, Belgium

    Tomasz Czyszanowski & Krassimir Panajotov

  4. Institute of Solid State Physics, 72 Tzarigradsko Chaussee Blvd., 1784, Sofia, Bulgaria

    Krassimir Panajotov

Authors
  1. Maciej Dems
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  2. Tomasz Czyszanowski
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  3. Rafał Kotyński
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  4. Krassimir Panajotov
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Editor information

Editors and Affiliations

  1. Dipartimento di Energetica, Università di Roma „La Sapienza“, 00161, Roma, Italy

    Concita Sibilia

  2. George Green Institute for Electromagnetics Research, University of Nottingham, Nottingham, NG7 2RD, UK

    Trevor M. Benson

  3. Department of Transmission and Optical Technologies, National Institute of Telecommunications, Szachowa 1, 04-894, Warsaw, Poland

    Marian Marciniak

  4. Faculty of Physics, University of Warsaw, Pasteura 7, 02-093, Warsaw, Poland

    Tomasz Szoplik

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Dems, M., Czyszanowski, T., Kotyński, R., Panajotov, K. (2008). Plane-Wave Admittance Method and its Applications to Modelling Photonic Crystal Structures. In: Sibilia, C., Benson, T.M., Marciniak, M., Szoplik, T. (eds) Photonic Crystals: Physics and Technology. Springer, Milano. https://doi.org/10.1007/978-88-470-0844-1_14

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