Effects of multiphoton absorption on parametric comb generation in silicon microresonators

Ryan K. W. Lau; Michael R. E. Lamont; Yoshitomo Okawachi; Alexander L. Gaeta

doi:10.1364/OL.40.002778

Optics Letters
Vol. 40,
Issue 12,
pp. 2778-2781
(2015)
•https://doi.org/10.1364/OL.40.002778

Effects of multiphoton absorption on parametric comb generation in silicon microresonators

Ryan K. W. Lau, Michael R. E. Lamont, Yoshitomo Okawachi, and Alexander L. Gaeta

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Ryan K. W. Lau, Michael R. E. Lamont, Yoshitomo Okawachi, and Alexander L. Gaeta, "Effects of multiphoton absorption on parametric comb generation in silicon microresonators," Opt. Lett. 40, 2778-2781 (2015)

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Abstract

We investigate theoretically the parametric frequency comb generation in silicon microresonators at telecom and mid-infrared (MIR) wavelengths in the presence of multiphoton absorption and free-carrier effects using a modified Lugiato–Lefever model. We show that parametric oscillation may occur at MIR wavelengths, provided that the free-carrier lifetime is sufficiently short or the optical pump power is sufficiently low, but is inhibited at telecom wavelengths. In addition, we propose an etchless, air-clad silicon microresonator that enables an octave-spanning frequency comb in a completely passive device.

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Pump wavelength (μm)	1.56	2.4	4.0
Pump power (W)	1	1	0.35
Waveguide area ( ${nm}^{2}$ )	$300 \times 690$	$500 \times 1400$	$500 \times 2600$
Cladding material	${SiO}_{2}$	${SiO}_{2}$	Air
Ring radius (μm)	100	100	100
Linear loss (dB/cm)	1.4	0.7	0.7
$κ$	0.0172	0.0083	0.0083
$n_{2} ({cm}^{2} / W)$	$4 \times 10^{- 14}$	$7 \times 10^{- 14}$	$3 \times 10^{- 14}$
$β_{2 PA}$ (cm/GW)	1.5	—	—
$β_{3 PA} ({cm}^{3} / {GW}^{2})$	—	0.02	—
$β_{4 PA} ({cm}^{5} / {GW}^{3})$	—	—	$3 \times 10^{- 5}$
$σ (m^{2})$	$1.47 \times 10^{- 21}$	$3.48 \times 10^{- 21}$	$9.67 \times 10^{- 21}$
$μ$	7.5	4.9	2.9
$τ_{eff}$ (ns)	3	5	5

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