1. FORTH 3D Modelling Issues addressed:
Issues addressed:
Simulation of experimental PC samples
Simulation of bulk photonic crystals
   Losses:      
Dependence on the hole depth
Dependence on the width of the guiding layer
Effect of the conical shape of the holes
T in the gap?
2D versus 3D modelling
Examination-validation of the 2D model:
3D ≈ [2D+ε’’]   

2. 3D FDTD simulation of experimental samples
~ΙWΚ2
~IOO3
ε=1, d=200nm
ε=10.106, d=200
ε= , d=452
ε=10.106, d=800
ε=9.9225, d=1400
ε=1, d=200nm
ε= , d=200
ε= , d=434
ε= , d=2200
Depth=1.5 & 2.5μm
a=240 & 420 nm
Depth= 2.5μm, a= 420 nm
~IOO3

3. IWK2, ΓM, f=0.3, depth=1.5 μm
Experimental lattice constant: a=240 nm to a=500 nm. Exper. hole depth: 1.5 μm to 2.5 μm.

4. Smaller f  smaller influence of the conical shape
Effect of conical holes?
Smaller f  smaller influence of the conical shape
Conical holes destroy the “PBG mode – layers mode” mismatch
Straight h.
Conical h.
Field |E| for the ~IOO3 (f=0.51, depth=2.5 μm)

5. (more confined guided mode for a =240 nm  less influenced by depth)
T versus hole depth
Legends show total depth
T(a=240 nm) > T(a=420 nm)
(more confined guided mode for a =240 nm  less influenced by depth)

6. Transmission in the gap?
Pulse inside the gap;
a=240 nm, IWK2 parameters, depth=1.5 μm, f=30%
The horizontal lines where the field shows peaks correspond to the guiding layer – claddings interfaces.
IWK2: Monochromatic wave, a=420 nm, a/λ=0.27, depth=834 nm, f=30%
The black arrows show layers interfaces. The white arrow shows the holes bottom.
IOO3: Monochromatic wave, a=420 nm, a/λ=0.35, depth=2.5 μm, f=51%
The horizontal lines where the field shows peaks correspond to the layers interfaces. The arrow shows the holes bottom.

7. 3D FDTD ≈ 2D FDTD with εeff and feff
2D versus 3D
GK direction, 8-unit cells.
2D FDTD: e=10.3, f=38%, e”=0.05.
3D FDTD: f=35%, a=420 nm, depth=2.5 μm,InP structure, straight holes
GK direction, 8-unit cells.
2D FDTD: e=10.3, f=38%, e”=0.12.
3D FDTD: f=35%, a=420 nm, depth=2.5 μm,InP structure, conical holes
3D FDTD ≈ 2D FDTD with εeff and feff

8. T versus length of the system
T(L)1-bLn with n=1/4 and b constant