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2021 | OriginalPaper | Chapter

Experimental and Theoretical Study of Group Delay Times and Density of States in One-Dimensional Photonic Circuit

Authors : Soufyane Khattou, Madiha Amrani, Abdelkader Mouadili, El Houssaine El Boudouti, Abdelkrim Talbi, Abdellatif Akjouj, Bahram Djafari-Rouhani

Published in: Proceedings of the 2nd International Conference on Electronic Engineering and Renewable Energy Systems

Publisher: Springer Singapore

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Abstract

We present a comparative study of density of states (DOS) and group delay times for a one-dimensional (1D) coaxial photonic crystal made of N cells attached horizontally along a waveguide. Using the interface response theory of continuous media, we derive exact analytical expressions relating the DOS and reflection and transmission delay times. We demonstrate analytically and experimentally that the reflection and transmission delay times for a symmetric system are not equivalent when we take into account the dissipation in the cables, and the DOS presents a different behavior in comparison with the reflection delay time because of the existence of additional enlarged delta peaks in the latter quantity that cannot be detected without loss.

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Literature
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go back to reference Johnson S, Joannopoulos JD (2002) Photonic Crystals: The Road from Theory to Practice. Kluwer Academic Publishers, Boston Johnson S, Joannopoulos JD (2002) Photonic Crystals: The Road from Theory to Practice. Kluwer Academic Publishers, Boston
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go back to reference El Boudouti EH, Fettouhi N, Akjouj A, Djafari-Rouhani B, Mir A, Vasseur JO, Dobrzynski L, Zemmouri J (2004) Experimental and theoretical evidence for the existence of photonic bandgaps and selective transmissions in serial loop structures. J Appl Phys 95:1102. https://doi.org/10.1063/1.1633983CrossRef El Boudouti EH, Fettouhi N, Akjouj A, Djafari-Rouhani B, Mir A, Vasseur JO, Dobrzynski L, Zemmouri J (2004) Experimental and theoretical evidence for the existence of photonic bandgaps and selective transmissions in serial loop structures. J Appl Phys 95:1102. https://​doi.​org/​10.​1063/​1.​1633983CrossRef
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go back to reference Dobrzynski L, El Boudouti EH, Akjouj A, Pennec Y, Al Wahsh H, Leveque G, Djafari Rouhani B (2017) Phononics. Elsevier, Amsterdam Dobrzynski L, El Boudouti EH, Akjouj A, Pennec Y, Al Wahsh H, Leveque G, Djafari Rouhani B (2017) Phononics. Elsevier, Amsterdam
Metadata
Title
Experimental and Theoretical Study of Group Delay Times and Density of States in One-Dimensional Photonic Circuit
Authors
Soufyane Khattou
Madiha Amrani
Abdelkader Mouadili
El Houssaine El Boudouti
Abdelkrim Talbi
Abdellatif Akjouj
Bahram Djafari-Rouhani
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-6259-4_25