Design of photonic band gap nanocavities for stimulated Raman amplification and lasing in monolithic silicon

Xiaodong Yang; Chee Wei Wong

doi:10.1364/OPEX.13.004723

Optics Express
Vol. 13,
Issue 12,
pp. 4723-4730
(2005)
•https://doi.org/10.1364/OPEX.13.004723

Design of photonic band gap nanocavities for stimulated Raman amplification and lasing in monolithic silicon

Xiaodong Yang and Chee Wei Wong

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Xiaodong Yang and Chee Wei Wong, "Design of photonic band gap nanocavities for stimulated Raman amplification and lasing in monolithic silicon," Opt. Express 13, 4723-4730 (2005)

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Abstract

The concept and design of L5 photonic band gap nanocavities in two-dimensional photonic crystal slabs for enhancement of stimulated Raman amplification and lasing in monolithic silicon is suggested for the first time. Specific high quality factor and small modal volume nanocavities are designed which supports the required pump-Stokes modal spacing in silicon, with ultralow lasing thresholds.

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Fig. 1. (a) Resonant frequencies of the pump and Stokes modes within the photonic band gap. (b) Q_pump and Q_Stokes as a function of shift S₁ .

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Fig. 2. The electric field profile (E_y ) (a) and 2D FT spectrum (b) of pump mode.

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Fig. 3. The electric field profile (E_y ) (a) and 2D FT spectrum (b) of Stokes mode.

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Fig. 4. SEM picture of the PhC L5 nanocavity for Raman lasing in silicon.

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Tables (1)

Table 1. Design summary of photonic crystal L5 nanocavity for Raman lasing in silicon.

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Equations (6)

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\pm \frac{\partial A_{p}^{\pm}}{\partial z} + \frac{1}{v_{p}} \frac{\partial A_{p}^{\pm}}{\partial t} = {- \frac{g_{p}}{2} ({∣ A_{S}^{+} ∣}^{2} + {∣ A_{S}^{-} ∣}^{2}) + i γ_{p} [{∣ A_{p}^{\pm} ∣}^{2} + 2 ({∣ A_{p}^{\mp} ∣}^{2} + {∣ A_{S}^{+} ∣}^{2} + {∣ A_{S}^{-} ∣}^{2})] - \frac{α_{p}}{2}

- β [{∣ A_{p}^{\pm} ∣}^{2} + 2 ({∣ A_{p}^{\mp} ∣}^{2} + {∣ A_{S}^{+} ∣}^{2} + {∣ A_{S}^{-} ∣}^{2})] - \overset{̅}{φ} λ_{p}^{2} {\overset{̅}{N}}_{eff}} A_{p}^{\pm}

\pm \frac{\partial A_{S}^{\pm}}{\partial z} + \frac{1}{v_{s}} \frac{\partial A_{S}^{\pm}}{\partial t} = {\frac{g_{s}}{2} ({∣ A_{p}^{+} ∣}^{2} + {∣ A_{p}^{-} ∣}^{2}) + i γ_{s} [{∣ A_{S}^{\pm} ∣}^{2} + 2 ({∣ A_{S}^{\mp} ∣}^{2} + {∣ A_{p}^{+} ∣}^{2} + {∣ A_{p}^{-} ∣}^{2})] - \frac{α_{s}}{2}

- β [{∣ A_{S}^{\pm} ∣}^{2} + 2 ({∣ A_{S}^{\mp} ∣}^{2} + {∣ A_{p}^{+} ∣}^{2} + {∣ A_{p}^{-} ∣}^{2})] - \overset{̅}{φ} λ_{S}^{2} {\overset{̅}{N}}_{eff}} A_{S}^{\pm}

+ i κ A_{S}^{\mp} + i δ β A_{S}^{\pm}

P_{threshold} = \frac{π^{2} n_{s} n_{p}}{g_{s} ξ λ_{s} λ_{p}} \frac{V_{m}}{Q_{s} Q_{p}}

S₁ (x a)	a(nm)	λ_pump (nm)	Q_pump	λ_Stokes (nm)	Q_Stokes
0	456	1592	560	1735.6	20693
0.05	414	1456.4	739	1575.8	19036
0.07	395	1395.7	863	1505	20843
0.10	376	1333.1	1030	1432.4	24642
0.15	342	1215.2	1550	1297.1	42445

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Equations (6)

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