Analysis of the modification of four-wave mixing phase matching by stimulated Brillouin scattering

El-Abed Haidar; C. Martijn de Sterke; Benjamin J. Eggleton

doi:10.1364/JOSAB.34.000516

Journal of the Optical Society of America B
Vol. 34,
Issue 3,
pp. 516-526
(2017)
•https://doi.org/10.1364/JOSAB.34.000516

Analysis of the modification of four-wave mixing phase matching by stimulated Brillouin scattering

El-Abed Haidar, C. Martijn de Sterke, and Benjamin J. Eggleton

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
El-Abed Haidar, C. Martijn de Sterke, and Benjamin J. Eggleton, "Analysis of the modification of four-wave mixing phase matching by stimulated Brillouin scattering," J. Opt. Soc. Am. B 34, 516-526 (2017)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article
Editors' Pick

Abstract

Controlling the phase-matching condition of four-wave mixing (FWM) using stimulated Brillouin scattering (SBS) has been experimentally demonstrated, but the full extent of the capabilities of this method has remained unknown. Here we theoretically and numerically investigate these capabilities, considering the SBS and the FWM separately. We show that, with modest optical power, exponential gain is achievable for normal dispersion. The method is limited by SBS-induced power variations and by the need to limit the SBS power levels.

Full Article | PDF Article

More Like This

Polarization-decoupled four-wave mixing based on stimulated Brillouin scattering in a polarization-maintaining fiber

Da-Peng Zhou, Liang Chen, and Xiaoyi Bao
J. Opt. Soc. Am. B 30(4) 821-828 (2013)

Interplay between cascaded stimulated Brillouin scattering and four-wave mixing in a fiber Fabry–Perot resonator

Kazuhiko Ogusu
J. Opt. Soc. Am. B 20(4) 685-694 (2003)

Distributed phase-matching measurement for dynamic strain and temperature sensing based on stimulated Brillouin scattering enhanced four-wave mixing

Yuan Wang, Pedro Tovar, Juntong Yang, Liang Chen, and Xiaoyi Bao
Photon. Res. 12(1) 141-153 (2024)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (47)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Material	$λ_{p}$ (nm)	$g_{0} ({mW}^{- 1})$	$n_{2} (m^{2} W^{- 1})$	$R$
Silica fiber [10]	1550	$1.1 \times 10^{- 11}$	$3.2 \times 10^{- 20}$	10
${As}_{2} S_{3}$ fiber [14]	1560	$3.9 \times 10^{- 9}$	$2 \times 10^{- 18}$	61
${As}_{2} {Se}_{3}$ fiber [14]	1550	$6.75 \times 10^{- 9}$	$9 \times 10^{- 16}$	0.25
${As}_{2} S_{3}$ chip [15]	1550	$0.715 \times 10^{- 9}$	$3 \times 10^{- 18}$	7

Parameter	Ex. 1	Ex. 2	Equation/Table Used
$σ_{\pm} (%)$ ; $σ_{0} (%)$	15; 75	10; 50	Eqs. (43)–(45)
$x$	−0.94	−0.89	invert Eq. (43)
$r$	1.8	1.6	invert Eq. (44)
$ϒ_{I} (W^{- 1} {km}^{- 1})$	500	same	$ϒ_{I +}$ Table (1)
$M ({mW}^{2})$	738	207	Eq. (41)
$D$ (mW)	−51.2	−25.6	$x = D / 2 \sqrt{M}$
$L$ (m)	450	same	Eq. (40)
$P_{+} (z = L)$ (mW)	48.9	22.89	Eq. (31)
$P_{-} (z = L)$ (mW)	15.1	9.11	Eq. (32)
$P_{0} (z = 0)$ (mW)	12.9	6.4	Eq. (25)

Material	$λ_{p}$ (nm)	$g_{0} ({mW}^{- 1})$	$n_{2} (m^{2} W^{- 1})$	$R$
Silica fiber [10]	1550	$1.1 \times 10^{- 11}$	$3.2 \times 10^{- 20}$	10
${As}_{2} S_{3}$ fiber [14]	1560	$3.9 \times 10^{- 9}$	$2 \times 10^{- 18}$	61
${As}_{2} {Se}_{3}$ fiber [14]	1550	$6.75 \times 10^{- 9}$	$9 \times 10^{- 16}$	0.25
${As}_{2} S_{3}$ chip [15]	1550	$0.715 \times 10^{- 9}$	$3 \times 10^{- 18}$	7

Parameter	Ex. 1	Ex. 2	Equation/Table Used
$σ_{\pm} (%)$ ; $σ_{0} (%)$	15; 75	10; 50	Eqs. (43)–(45)
$x$	−0.94	−0.89	invert Eq. (43)
$r$	1.8	1.6	invert Eq. (44)
$ϒ_{I} (W^{- 1} {km}^{- 1})$	500	same	$ϒ_{I +}$ Table (1)
$M ({mW}^{2})$	738	207	Eq. (41)
$D$ (mW)	−51.2	−25.6	$x = D / 2 \sqrt{M}$
$L$ (m)	450	same	Eq. (40)
$P_{+} (z = L)$ (mW)	48.9	22.89	Eq. (31)
$P_{-} (z = L)$ (mW)	15.1	9.11	Eq. (32)
$P_{0} (z = 0)$ (mW)	12.9	6.4	Eq. (25)

Abstract

Cited By

Figures (10)

Tables (2)

Equations (47)

Journal of the Optical Society of America B