Single-sided Bragg reflection waveguides with multilayer core for monolithic semiconductor parametric devices

Payam Abolghasem; Amr S. Helmy

doi:10.1364/JOSAB.29.001367

Journal of the Optical Society of America B
Vol. 29,
Issue 6,
pp. 1367-1375
(2012)
•https://doi.org/10.1364/JOSAB.29.001367

Single-sided Bragg reflection waveguides with multilayer core for monolithic semiconductor parametric devices

Payam Abolghasem and Amr S. Helmy

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Payam Abolghasem and Amr S. Helmy, "Single-sided Bragg reflection waveguides with multilayer core for monolithic semiconductor parametric devices," J. Opt. Soc. Am. B 29, 1367-1375 (2012)

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- Optical Devices
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About this Article
History
- Original Manuscript: October 31, 2011
- Revised Manuscript: February 28, 2012
- Manuscript Accepted: March 9, 2012
- Published: May 23, 2012

Abstract

We propose and examine single-stack matching-layer enhanced Bragg reflection waveguides (BRWs) as a platform for integrated parametric devices. The proposed designed is asymmetric in geometry, where a multilayer core is surrounded by a single-layer upper cladding and a lower quarter-wave Bragg mirror. The propagation of the Bragg mode in the new design relies on total internal reflection from the upper cladding and Bragg reflection from the lower periodic cladding. Analytical expressions for modal analysis of $TE$ - and $TM$ -polarized Bragg modes are derived. An ${Al}_{x} {Ga}_{1 - x} As$ second-harmonic generation device is theoretically examined to highlight nonlinear performance of the new design, and it is compared to symmetric phase-matched BRWs reported to date. The application of the same structure for generation of anticorrelated photon pairs is discussed.

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Equations (18)

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Parameter	Value
( $t_{cladd}$ , $n_{cladd}$ , $n_{cladd, 2 ω}$ )	(500 nm, 2.9549, 3.0942)
( $t_{a}$ , $n_{a, ω}$ , $n_{a, 2 ω}$ )	(210 nm, 3.2656, 3.5381)
( $t_{b}$ , $n_{b, ω}$ , $n_{b, 2 ω}$ )	(310 nm, 3.1279, 3.3160)
( $t_{m}$ , $n_{m, ω}$ , $n_{m, 2 ω}$ )	(358 nm, 3.2656, 3.5381)
( $t_{1}$ , $n_{1, ω}$ , $n_{1, 2 ω}$ )	(481 nm, 3.0227, 3.1801)
( $t_{2}$ , $n_{2, ω}$ , $n_{2, 2 ω}$ )	(120 nm, 3.2656, 3.5381)

Design	$λ_{p}$ [nm]	$ξ$ ${[m]}^{- 1}$	$d_{eff}$ [ $pm / V$ ]	$\bar{η} SHG$ [ $% W^{- 1} {cm}^{- 2}$ ]
${BRW}_{I}$ a	1546.5	221	40	$3.0 \times 10^{- 4}$
${BRW}_{II}$ b	1540.0	133	38	$1.1 \times 10^{- 4}$
${BRW}_{III}$	1540.0	196	57	$5.0 \times 10^{- 4}$

Design	${GVM}_{ω, ω}^{(TE, TM)}$ [ $ps / mm$ ]	${GVM}_{2 ω, ω}^{(TE, TE)}$ [ $ps / mm$ ]	${GVM}_{2 ω, ω}^{(TE, TM)}$ [ $ps / mm$ ]	${GVD}_{ω}^{(TE)}$ [ ${fs}^{2} / μm$ ]	${GVD}_{ω}^{(TM)}$ [ ${fs}^{2} / μm$ ]	${GVD}_{2 ω}^{(TE)}$ [ ${fs}^{2} / μm$ ]
${BRW}_{I}$	0.0330	2.4876	2.5206	1.4363	1.4316	5.7712
${BRW}_{II}$	0.0101	2.3724	2.3825	1.0436	1.0387	3.4062
${BRW}_{III}$	0.0142	3.1208	3.1350	1.2851	1.2757	12.093

Parameter	Value
( $t_{cladd}$ , $n_{cladd}$ , $n_{cladd, 2 ω}$ )	(500 nm, 2.9549, 3.0942)
( $t_{a}$ , $n_{a, ω}$ , $n_{a, 2 ω}$ )	(210 nm, 3.2656, 3.5381)
( $t_{b}$ , $n_{b, ω}$ , $n_{b, 2 ω}$ )	(310 nm, 3.1279, 3.3160)
( $t_{m}$ , $n_{m, ω}$ , $n_{m, 2 ω}$ )	(358 nm, 3.2656, 3.5381)
( $t_{1}$ , $n_{1, ω}$ , $n_{1, 2 ω}$ )	(481 nm, 3.0227, 3.1801)
( $t_{2}$ , $n_{2, ω}$ , $n_{2, 2 ω}$ )	(120 nm, 3.2656, 3.5381)

Design	$λ_{p}$ [nm]	$ξ$ ${[m]}^{- 1}$	$d_{eff}$ [ $pm / V$ ]	$\bar{η} SHG$ [ $% W^{- 1} {cm}^{- 2}$ ]
${BRW}_{I}$ a	1546.5	221	40	$3.0 \times 10^{- 4}$
${BRW}_{II}$ b	1540.0	133	38	$1.1 \times 10^{- 4}$
${BRW}_{III}$	1540.0	196	57	$5.0 \times 10^{- 4}$

Abstract

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Tables (3)

Equations (18)

Journal of the Optical Society of America B