Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008.

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1 Laboratoire des Micro et Nano Systèmes 1 PhC guided resonances discussion Pierre Pottier Laboratoire des Micro et Nano Systèmes 19/06/2008

2 Laboratoire des Micro et Nano Systèmes 2 Plan Modelisation double layer slab Guided resonances Tuning & resonances Enhancement QD localisation Fluorescence enhancement ? (summarise, analysis, article discussion)

3 Laboratoire des Micro et Nano Systèmes 3 Modelisation of PhC slabs T double layer PhCT single layer PhCT single layer slabT double layer slab Analytical formula (short) Analytical formula (long) Simulation (matrix transfer) Model: T 1 slab + equiv. FP cavity Analytical formula Simulation (FDTD) + band structures Model simplified: T 1 slab (background) + peaks position for r/a<<1 (from w.g. disp. curve) background comparison engineering of background T e.g.: AR coating Analytical formula Simulation (FDTD) Model - near field regime ? - far field regime model equiv. FP cavity OK ~ ? ? ~

4 Laboratoire des Micro et Nano Systèmes 4 Double layer slab t d t n2n2 n2n2 slab transparent when t = kλ/2n 2 k N slab reflective when t = (2k+1)λ/4n 2 double slab: (weak) FP-like resonances when d λ/2n 1 & around t = (2k+1)λ/4n 2 n1n1 n1n1 n1n1 2n 2 t/22n 2 t/1 4n 2 t/3

5 Laboratoire des Micro et Nano Systèmes 5 Double layer slab t d t n2n2 n2n2 n1n1 n1n1 n1n1 d eq. d ed. = f(λ) R = f(λ) if d small (case of near field regime), no more FP modes

6 Laboratoire des Micro et Nano Systèmes 6 background fitted + peak shape analytical model (peak position & width simulation) FDTD simulation Article [1] Single PhC slab: guided resonances Analytical model of peak position and Q possible ?

7 Laboratoire des Micro et Nano Systèmes 7 Double PhC slab: resonances & tunability Article [2] Far field regime 1 PhC slab with high and wide R r/a high 2 PhC slabs FP cavity Near field regime evanescent coupling between slabs h>0.5a coupling due to propagating waves T independent of lateral displacement PhC slab with high R big holes high distance between PhC slabs MEMS vertical actuation (only) low Q guided resonances ( more field between slabs) less enhancement (?) short distance between PhC slabs MEMS vertical and/or horizontal actuation

8 Laboratoire des Micro et Nano Systèmes 8 Near field regime Article [3] Double PhC slab: resonances & tunability

9 Laboratoire des Micro et Nano Systèmes 9 Enhancement Enhancement via Purcell factor only (?) need high Q, small V m need QD coupled at max. of field (http://qwiki.stanford.edu/wiki/Purcell_Factor)

10 Laboratoire des Micro et Nano Systèmes 10 QD localisation SiN SiO 2 Si SiN SiO 2

11 Laboratoire des Micro et Nano Systèmes 11 Fluorescence enhancement ? ? ? ?