Resonance condition and field distribution in line-defect photonic crystal cavities

Marco Saldutti; Jesper Mørk; Mariangela Gioannini

doi:10.1117/12.2545149

Resonance condition and field distribution in line-defect photonic crystal cavities

Marco Saldutti^*, Jesper Mørk, Mariangela Gioannini

^*Corresponding author for this work

Polytechnic University of Turin

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

By applying a recently proposed coupled-Bloch-mode approach, we have derived the resonance condition for the longitudinal modes of passive photonic crystal (PhC) line-defect cavities. We have derived simple expressions for the electric field depending on the size of the cavity and the order of the resonant mode. We have shown that, as the cavity becomes longer, the fundamental mode turns from FP-like to DFB-like and the fraction of its wavevector components within the light cone is gradually suppressed. Importantly, we have clarified the physical origin for this behaviour.

Original language	English
Title of host publication	Proceedings of SPIE
Editors	Alexey A. Belyanin, Peter M. Smowton
Number of pages	9
Volume	11301
Publisher	SPIE - International Society for Optical Engineering
Publication date	1 Jan 2020
Article number	113010W
ISBN (Electronic)	9781510633650
DOIs	https://doi.org/10.1117/12.2545149
Publication status	Published - 1 Jan 2020
Event	Novel In-Plane Semiconductor Lasers XIX 2020 - San Francisco, United States Duration: 3 Feb 2020 → 6 Feb 2020 Conference number: 19

Conference

Conference	Novel In-Plane Semiconductor Lasers XIX 2020
Number	19
Country/Territory	United States
City	San Francisco
Period	03/02/2020 → 06/02/2020
Sponsor	SPIE

Series	Proceedings of SPIE - The International Society for Optical Engineering
Volume	11301
ISSN	0277-786X

Keywords

Bloch modes
Coupled-mode theory
DFB-like
FP-like
Photonic crystal (PhC)
Photonic crystal cavities
Q-factor
Radiation loss

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Saldutti, M., Mørk, J., & Gioannini, M. (2020). Resonance condition and field distribution in line-defect photonic crystal cavities. In A. A. Belyanin, & P. M. Smowton (Eds.), Proceedings of SPIE (Vol. 11301). [113010W] SPIE - International Society for Optical Engineering. Proceedings of SPIE - The International Society for Optical Engineering Vol. 11301 https://doi.org/10.1117/12.2545149

Saldutti, Marco ; Mørk, Jesper ; Gioannini, Mariangela. / Resonance condition and field distribution in line-defect photonic crystal cavities. Proceedings of SPIE. editor / Alexey A. Belyanin ; Peter M. Smowton. Vol. 11301 SPIE - International Society for Optical Engineering, 2020. (Proceedings of SPIE - The International Society for Optical Engineering, Vol. 11301).

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title = "Resonance condition and field distribution in line-defect photonic crystal cavities",

abstract = "By applying a recently proposed coupled-Bloch-mode approach, we have derived the resonance condition for the longitudinal modes of passive photonic crystal (PhC) line-defect cavities. We have derived simple expressions for the electric field depending on the size of the cavity and the order of the resonant mode. We have shown that, as the cavity becomes longer, the fundamental mode turns from FP-like to DFB-like and the fraction of its wavevector components within the light cone is gradually suppressed. Importantly, we have clarified the physical origin for this behaviour.",

keywords = "Bloch modes, Coupled-mode theory, DFB-like, FP-like, Photonic crystal (PhC), Photonic crystal cavities, Q-factor, Radiation loss",

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Saldutti, M, Mørk, J & Gioannini, M 2020, Resonance condition and field distribution in line-defect photonic crystal cavities. in AA Belyanin & PM Smowton (eds), Proceedings of SPIE. vol. 11301, 113010W, SPIE - International Society for Optical Engineering, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11301, Novel In-Plane Semiconductor Lasers XIX 2020, San Francisco, California, United States, 03/02/2020. https://doi.org/10.1117/12.2545149

Resonance condition and field distribution in line-defect photonic crystal cavities. / Saldutti, Marco; Mørk, Jesper; Gioannini, Mariangela.

Proceedings of SPIE. ed. / Alexey A. Belyanin; Peter M. Smowton. Vol. 11301 SPIE - International Society for Optical Engineering, 2020. 113010W (Proceedings of SPIE - The International Society for Optical Engineering, Vol. 11301).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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N2 - By applying a recently proposed coupled-Bloch-mode approach, we have derived the resonance condition for the longitudinal modes of passive photonic crystal (PhC) line-defect cavities. We have derived simple expressions for the electric field depending on the size of the cavity and the order of the resonant mode. We have shown that, as the cavity becomes longer, the fundamental mode turns from FP-like to DFB-like and the fraction of its wavevector components within the light cone is gradually suppressed. Importantly, we have clarified the physical origin for this behaviour.

AB - By applying a recently proposed coupled-Bloch-mode approach, we have derived the resonance condition for the longitudinal modes of passive photonic crystal (PhC) line-defect cavities. We have derived simple expressions for the electric field depending on the size of the cavity and the order of the resonant mode. We have shown that, as the cavity becomes longer, the fundamental mode turns from FP-like to DFB-like and the fraction of its wavevector components within the light cone is gradually suppressed. Importantly, we have clarified the physical origin for this behaviour.

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KW - Coupled-mode theory

KW - DFB-like

KW - FP-like

KW - Photonic crystal (PhC)

KW - Photonic crystal cavities

KW - Q-factor

KW - Radiation loss

U2 - 10.1117/12.2545149

DO - 10.1117/12.2545149

M3 - Article in proceedings

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VL - 11301

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Proceedings of SPIE

A2 - Belyanin, Alexey A.

A2 - Smowton, Peter M.

PB - SPIE - International Society for Optical Engineering

T2 - Novel In-Plane Semiconductor Lasers XIX 2020

Y2 - 3 February 2020 through 6 February 2020

ER -

Resonance condition and field distribution in line-defect photonic crystal cavities

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