A simple coupled-bloch-mode approach to study active photonic crystal waveguides and lasers

Marco Saldutti*, Paolo Bardella, Jesper Mørk, Mariangela Gioannini

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

By applying a coupled-Bloch-mode approach, we have derived a simple expression for the transmission properties of photonic crystal (PhC) line-defect waveguides with a complex refractive index perturbation. We have provided physical insights on the coupling mechanism by analyzing the frequency dependence and relative strength of the coupling coefficients. We have shown the impact of the perturbation on the waveguide dispersion relation and how the gain-induced distributed feedback limits the maximum attainable slow-light enhancement of the gain itself. We have then applied our approach to analyze the threshold behavior of various PhC laser cavities and proved the significant impact of coherent distributed feedback effects in these lasers. Importantly, our approach also reveals that a structure simply consisting of an active region with zero back reflections from the passive output waveguides can achieve lasing oscillation with reasonable threshold gain.

Original languageEnglish
Article number8735893
JournalIEEE Journal of Selected Topics in Quantum Electronics
Volume25
Issue number6
Number of pages12
ISSN0792-1233
DOIs
Publication statusPublished - 1 Nov 2019

Keywords

  • Bloch modes
  • Coupled-mode theory
  • Photonic crystal (phc)
  • Photonic crystal waveguides and lasers
  • Photonic integrated circuits

Cite this

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title = "A simple coupled-bloch-mode approach to study active photonic crystal waveguides and lasers",
abstract = "By applying a coupled-Bloch-mode approach, we have derived a simple expression for the transmission properties of photonic crystal (PhC) line-defect waveguides with a complex refractive index perturbation. We have provided physical insights on the coupling mechanism by analyzing the frequency dependence and relative strength of the coupling coefficients. We have shown the impact of the perturbation on the waveguide dispersion relation and how the gain-induced distributed feedback limits the maximum attainable slow-light enhancement of the gain itself. We have then applied our approach to analyze the threshold behavior of various PhC laser cavities and proved the significant impact of coherent distributed feedback effects in these lasers. Importantly, our approach also reveals that a structure simply consisting of an active region with zero back reflections from the passive output waveguides can achieve lasing oscillation with reasonable threshold gain.",
keywords = "Bloch modes, Coupled-mode theory, Photonic crystal (phc), Photonic crystal waveguides and lasers, Photonic integrated circuits",
author = "Marco Saldutti and Paolo Bardella and Jesper M{\o}rk and Mariangela Gioannini",
year = "2019",
month = "11",
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doi = "10.1109/JSTQE.2019.2922377",
language = "English",
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journal = "Science and Engineering of Composite Materials",
issn = "0792-1233",
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A simple coupled-bloch-mode approach to study active photonic crystal waveguides and lasers. / Saldutti, Marco; Bardella, Paolo; Mørk, Jesper; Gioannini, Mariangela.

In: IEEE Journal of Selected Topics in Quantum Electronics, Vol. 25, No. 6, 8735893, 01.11.2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A simple coupled-bloch-mode approach to study active photonic crystal waveguides and lasers

AU - Saldutti, Marco

AU - Bardella, Paolo

AU - Mørk, Jesper

AU - Gioannini, Mariangela

PY - 2019/11/1

Y1 - 2019/11/1

N2 - By applying a coupled-Bloch-mode approach, we have derived a simple expression for the transmission properties of photonic crystal (PhC) line-defect waveguides with a complex refractive index perturbation. We have provided physical insights on the coupling mechanism by analyzing the frequency dependence and relative strength of the coupling coefficients. We have shown the impact of the perturbation on the waveguide dispersion relation and how the gain-induced distributed feedback limits the maximum attainable slow-light enhancement of the gain itself. We have then applied our approach to analyze the threshold behavior of various PhC laser cavities and proved the significant impact of coherent distributed feedback effects in these lasers. Importantly, our approach also reveals that a structure simply consisting of an active region with zero back reflections from the passive output waveguides can achieve lasing oscillation with reasonable threshold gain.

AB - By applying a coupled-Bloch-mode approach, we have derived a simple expression for the transmission properties of photonic crystal (PhC) line-defect waveguides with a complex refractive index perturbation. We have provided physical insights on the coupling mechanism by analyzing the frequency dependence and relative strength of the coupling coefficients. We have shown the impact of the perturbation on the waveguide dispersion relation and how the gain-induced distributed feedback limits the maximum attainable slow-light enhancement of the gain itself. We have then applied our approach to analyze the threshold behavior of various PhC laser cavities and proved the significant impact of coherent distributed feedback effects in these lasers. Importantly, our approach also reveals that a structure simply consisting of an active region with zero back reflections from the passive output waveguides can achieve lasing oscillation with reasonable threshold gain.

KW - Bloch modes

KW - Coupled-mode theory

KW - Photonic crystal (phc)

KW - Photonic crystal waveguides and lasers

KW - Photonic integrated circuits

U2 - 10.1109/JSTQE.2019.2922377

DO - 10.1109/JSTQE.2019.2922377

M3 - Journal article

VL - 25

JO - Science and Engineering of Composite Materials

JF - Science and Engineering of Composite Materials

SN - 0792-1233

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M1 - 8735893

ER -