Biomedical Engineering Reference
In-Depth Information
Table 3.2 Third-order non-linear optical (NLO) properties measured in
nanocomposite materials 1
3 measured a
Measured
NLO strength
Unit
Part of w
λ (nm)
Composite
CdS in Nafion
10 7
cm 2 /W Im
6.1
6
ðw
3
Þ=a
480
10 7
cm 2 /W Im
CdS in Nafion/NH 3
8.3
6
ðw
3
Þ=a
450
10 5
Capped CdSe in PMMA 1.2
6
cm/W Im
ðw
3
Þ
544-560
10 8
2
2
0:5
CdS x Se 1-x glass
1.3
6
esu
½
Re
ðw
3
Þ
þ
Im
ðw
3
Þ
532
10 12
2
2
0:5
CdS in sol-gel glass
5
6
esu cm
½
Re
ðw
3
Þ
þ
Im
ðw
3
Þ
=a
380
10 10
3
2
3
2
0
:
5
PPV in SiO 2
3
6
esu
½
Re
ðw
Þ
þ
Im
ðw
Þ
602
2
2
0
:
5
10 10
3
3
PPV in V 2 O 5
6
6
esu
½
Re
ðw
Þ
þ
Im
ðw
Þ
602
10 12
cm 2 /W Re
3
GaAS in Vycor glass
5.6
6
ðw
Þ
1064
Standard NLO materials
Fused quartz
10 14
3
8.5
6
esu
Re
ðw
Þ
1064
10 13
3
SF 6
8
6
esu
Re
ðw
Þ
1064
10 11
3
CdS
5
6
esu
Re
ðw
Þ
610
a
α is the absorption coefficient
5 D 0 - 7 F 2 transition of Eu 3+ ions (614 nm) in densified silica and Al 3+ co-
doped silica matrices. The sharp lines observed between 200 and 500 nm are
assigned to the f-f transitions of the Eu 3+ ions in the glasses. However, a
broad band with a peak at 300 nm is observed only in the aluminum co-
doped sample that contains both Eu 2+ and Eu 3+ ions. The excited Eu 2+
ions in the 4f 6 5d (e g ) level can relax to the ground state by transferring
energy to the Eu 3+ ions which, in turn, are excited to the 5 D 2 level.
3.4
Non-linearity
Non-linear optics is the branch of optics that describes the behavior of light
in non-linear media, that is, media in which the dielectric polarization P
responds non-linearly to the electric field E of the light (i.e electric
polarization is the cause of optical non-linearity), which can be expressed
as 31
￿ ￿ ￿ ￿ ￿ ￿
P NL ¼ w ð 2 Þ EE
þ w ð 3 Þ EEE
þ
½
3
:
2
where P NL is non-linear electric polarization, E is the incident electric field
and
(3) are the second- and third-order non-linear optical
susceptibility terms, respectively. Theoretically,
(2)
χ
χ
and
(2) is zero for materials
having inversion symmetry in a region whose size is of the order of the
wavelength of an incident beam but
χ
(3) has a finite value in all substances
χ
(Table 3.2).
Glasses are optically isotropic so they should not have second-order
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