The prospect of obtaining a complete three-dimensional band gap in macroporous silicon photonic crystals is investigated theoretically. Band structure calculations indicate that a modified form of the simple cubic lattice of air spheres in silicon exhibits a complete band gap, with a bandwidth of up to 4%. It is further shown that this quasispherical crystal may be fabricated using standard etching procedures. These results provide a practical route to obtaining large-scale, high-quality, silicon photonic crystals with a complete band gap.

1.
K.
Wang
A.
Chelnokov
,
S.
Rowson
,
P.
Garoche
, and
J.-M.
Lourtioz
,
J. Phys. D
33
,
L119
(
2000
).
2.
E.
Yablonovitch
,
Phys. Rev. Lett.
67
,
2295
(
1991
).
3.
M.
Christophersen
,
J.
Carstensen
,
A.
Feuerhake
, and
H.
Föll
,
Mater. Sci. Eng., B
6970
,
194
(
2000
).
4.
J.
Schilling
,
F.
Müller
,
S.
Matthias
,
R. B.
Wehrspohn
,
U.
Gösele
, and
K.
Busch
,
Appl. Phys. Lett.
78
,
1180
(
2001
).
5.
J.
Schilling
,
R. B.
Wehrspohn
,
A.
Birner
,
F.
Müller
,
R.
Hillebrand
,
U.
Gösele
,
S. W.
Leonard
,
J. P.
Mondia
,
F.
Genereux
,
H. M.
van Driel
,
P.
Kramper
,
V.
Sandoghdar
, and
K.
Busch
,
J. Opt. Soc. Am. A
3
,
S121
(
2001
).
6.
H. S.
Soüzer
and
J. W.
Haus
,
J. Opt. Soc. Am. B
10
,
296
(
1993
).
7.
U.
Grüning
,
V.
Lehmann
,
S.
Ottow
, and
K.
Busch
,
Appl. Phys. Lett.
68
,
747
(
1996
).
8.
A.
Birner
,
R. B.
Wehrspohn
,
U. M.
Gösele
, and
K.
Busch
,
Adv. Mater.
13
,
377
(
2001
).
9.
J.
Schilling
,
A.
Birner
,
F.
Müller
,
R. B.
Wehrspohn
,
R.
Hillebrand
,
U.
Gösele
,
K.
Busch
,
S.
John
,
S. W.
Leonard
, and
H. M.
van Driel
,
Opt. Mater.
17
,
7
(
2001
).
10.
As a simplification, the constants α and β were evaluated as a function of R/a using the constraint that the spatial average of the dielectric constant in a planar section through the center of the unit cell (rather than the entire volume of the unit cell) is equal to that of the spherical crystal.
11.
A.
Blanco
,
E.
Chomski
,
S.
Grabtchak
,
M.
Ibisate
,
S.
John
,
S. W.
Leonard
,
C.
Lopez
,
F.
Meseguer
,
H.
Miguez
,
J. P.
Mondia
,
G. A.
Ozin
,
O.
Toader
, and
H. M.
van Driel
,
Nature (London)
405
,
437
(
2000
).
This content is only available via PDF.
You do not currently have access to this content.