Designing photonic crystal waveguides for broadband four-wave mixing applications

Panagiotis Kanakis; Thomas Kamalakis; Thomas Sphicopoulos

doi:10.1364/OL.40.001041

Optics Letters
Vol. 40,
Issue 6,
pp. 1041-1044
(2015)
•https://doi.org/10.1364/OL.40.001041

Designing photonic crystal waveguides for broadband four-wave mixing applications

Panagiotis Kanakis, Thomas Kamalakis, and Thomas Sphicopoulos

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Panagiotis Kanakis, Thomas Kamalakis, and Thomas Sphicopoulos, "Designing photonic crystal waveguides for broadband four-wave mixing applications," Opt. Lett. 40, 1041-1044 (2015)

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Related Topics
Table of Contents Category
- Photonic Crystals and Devices
Optics & Photonics Topics
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The topics in this list come from the Optics and Photonics Topics applied to this article.

About this Article
History
- Original Manuscript: December 10, 2014
- Revised Manuscript: January 19, 2015
- Manuscript Accepted: January 27, 2015
- Published: March 11, 2015

Abstract

We present photonic crystal waveguide designs which exhibit large four-wave mixing efficiencies over a wide wavelength region. These designs are identified using an optimization process taking into account sophisticated figure-of-merits that depend on the pump bandwidth and the signal/pump tunability. The obtained designs achieve up to $- 18.9 dB$ conversion efficiency, tunable over a 10 nm tunability range. We also present alternative designs that are less efficient but have smaller power requirements and are far more compact.

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Design Parameters
$Δ y_{1} / a$	$Δ y_{2} / a$	$Δ y_{3} / a$	$Δ r_{1} \cdot a$	$Δ r_{2} \cdot a$	$Δ r_{3} \cdot a$	EBT ( ${nm}^{2}$ )	$η_{0}$ (dB)	$Δ λ$ (nm)	$δ λ$ (nm)	$P_{0}$ (W)	$L$ (μm)	$n_{g 0}$
0.08303	0	0	0	0	0	1.6	$- 22.3$	39.8	6.9	0.81	509.6	6.1
0.144	0.0981	0	0	0	0	2.5	$- 19.5$	36	6.3	0.93	500	13.5
0.15071	0.10834	0.1090	0	0	0	3.6	$- 19.8$	43	7.9	1.96	477.8	10.3
0.1484	0.10743	0.0193	$- 0.0112$	0	0	5.6	$- 18.7$	48	8.7	1.28	508.7	11.7
0.14957	0.09808	0.0131	$- 0.0406$	$- 0.0396$	0	6.4	$- 19.9$	58	10.8	1.51	506.2	9.2
0.14968	0.09919	0.0124	$- 0.0407$	$- 0.0397$	$- 0.0034$	7.9	$- 18.9$	58	10.7	1.66	507.4	9.3

Design Parameters
$Δ y_{1} / a$	$Δ y_{2} / a$	$Δ y_{3} / a$	$Δ r_{1} \cdot a$	$Δ r_{2} \cdot a$	$Δ r_{3} \cdot a$	${EBT}_{PL}$ (fm/W)	$η_{0}$ (dB)	$Δ λ$ (nm)	$δ λ$ (nm)	$P_{0}$ (W)	$L$ (μm)	$n_{g 0}$
0.14434	0	0	0	0	0	6.3	$- 25.2$	16	2.8	0.16	132.3	25.2
0.13656	0.09193	0	0	0	0	6.9	$- 27.5$	28	4.9	0.29	121.9	14.3
0.14969	0.10946	0.10619	0	0	0	20.5	$- 25.5$	43	7.8	0.26	177.6	10.4
0.15099	0.10999	0.01779	$- 0.041$	0	0	63.4	$- 28.1$	56	10.5	0.15	91.8	9.4
0.14882	0.10974	0.03162	$- 0.0405$	$- 0.006$	0	63.7	$- 28.1$	56	10.5	0.15	91.8	9.5
0.15094	0.10998	0.00013	$- 0.04$	$- 0.0097$	$- 0.0013$	73.9	$- 28$	61.3	11.6	0.2	74.6	9.5

Design Parameters
$Δ y_{1} / a$	$Δ y_{2} / a$	$Δ y_{3} / a$	$Δ r_{1} \cdot a$	$Δ r_{2} \cdot a$	$Δ r_{3} \cdot a$	EBT ( ${nm}^{2}$ )	$η_{0}$ (dB)	$Δ λ$ (nm)	$δ λ$ (nm)	$P_{0}$ (W)	$L$ (μm)	$n_{g 0}$
0.08303	0	0	0	0	0	1.6	$- 22.3$	39.8	6.9	0.81	509.6	6.1
0.144	0.0981	0	0	0	0	2.5	$- 19.5$	36	6.3	0.93	500	13.5
0.15071	0.10834	0.1090	0	0	0	3.6	$- 19.8$	43	7.9	1.96	477.8	10.3
0.1484	0.10743	0.0193	$- 0.0112$	0	0	5.6	$- 18.7$	48	8.7	1.28	508.7	11.7
0.14957	0.09808	0.0131	$- 0.0406$	$- 0.0396$	0	6.4	$- 19.9$	58	10.8	1.51	506.2	9.2
0.14968	0.09919	0.0124	$- 0.0407$	$- 0.0397$	$- 0.0034$	7.9	$- 18.9$	58	10.7	1.66	507.4	9.3

Design Parameters
$Δ y_{1} / a$	$Δ y_{2} / a$	$Δ y_{3} / a$	$Δ r_{1} \cdot a$	$Δ r_{2} \cdot a$	$Δ r_{3} \cdot a$	${EBT}_{PL}$ (fm/W)	$η_{0}$ (dB)	$Δ λ$ (nm)	$δ λ$ (nm)	$P_{0}$ (W)	$L$ (μm)	$n_{g 0}$
0.14434	0	0	0	0	0	6.3	$- 25.2$	16	2.8	0.16	132.3	25.2
0.13656	0.09193	0	0	0	0	6.9	$- 27.5$	28	4.9	0.29	121.9	14.3
0.14969	0.10946	0.10619	0	0	0	20.5	$- 25.5$	43	7.8	0.26	177.6	10.4
0.15099	0.10999	0.01779	$- 0.041$	0	0	63.4	$- 28.1$	56	10.5	0.15	91.8	9.4
0.14882	0.10974	0.03162	$- 0.0405$	$- 0.006$	0	63.7	$- 28.1$	56	10.5	0.15	91.8	9.5
0.15094	0.10998	0.00013	$- 0.04$	$- 0.0097$	$- 0.0013$	73.9	$- 28$	61.3	11.6	0.2	74.6	9.5

Abstract

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Tables (2)

Equations (13)

Optics Letters