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The authors gratefully acknowledge the financial support of the EPSRC
High slope efficiency liquid crystal lasers designed through material parameter optimisation
A. D. Ford*, S. M. Morris, M. N. Pivnenko, C. Gillespie and H. J. Coles**Centre of Molecular Materials for Photonics and Electronics
Electrical Engineering Division,Cambridge University Engineering Department,
9 JJ Thomson Avenue, Cambridge, CB3 0FA, UK
0 2 4 6 8 10 12 14 16 18 200.0
0.1
0.2
0.3
0.4
E7n=5
n=9
n=7
n=11
Em
issi
on E
ner
gy (J)
Excitation Energy (J)
4 5 6 7 8 9 10 11 12 131.5
2.0
2.5
3.0
3.5
4.0
Thre
shol
d E
ner
gy (J
)
Number of Methylene Units (n)
INTRODUCTION
LC HOST OPTIMISATION
CONCLUSIONS
10 20 30 401
2
3
4
Eth (J
/puls
e)
Birefringence-2
2
1
nEth
21n
Eths
4 5 6 7 8 9 10 11 12 132.5
3.0
3.5
4.0
4.5
5.0
5.5
Per
cen
tage
of
chir
al d
opan
t (%
)
Number of methylene units (n)
LC HOST + CHIRAL DOPANT + DYE = LC LASER
The threshold energy (Eth) can be written as [9, 10]:
The slope efficiency (s) can be written as:
All even spaced lasers exhibit:
0.03 0.04 0.05 0.063
4
5
6
7
8
Slo
pe
Eff
icie
ncy
(%
)
Birefringence2
The laser with 8 spacer units
•A correlation was observed between the elastic moduli and the slope efficiency.
•The percentage of chiral dopant required to position the long wavelength band edge to 610 nm is a measure of the twist elastic constant.
•The elastic moduli are inversely related to director fluctuations and consequently scattering losses.
•This is speculation and ongoing research is being conducted to ascertain the validity of this relationship.
0 10 20 30 40 50 60 700
1
2
3
4
5
6
Em
issi
on E
ner
gy (
J)
Excitation Energy (J)
FFO8OCB + DCM
FFO8OCB + PM597
4 5 6 7 8 9 10 11 12 130
1
2
3
4
5
6
7
8
Slo
pe
Eff
icie
ncy
(%)
Number of Methylene Units (n)
E7 laser
The equation DOES accurately accounts for the experimental
data!
The equation DOES NOT fully account
for the experimental data!
The emission energy as a function of excitation energy was measured at an shifted temperature of 20 ºC, and compared to the emission energy from the equivalent DCM laser.
For each bimesogenic LC laser, the emission energy as a function of excitation energy was measured at a shifted temperature of 20 ºC.
The Isotropic – Nematic phase transition temperature as a function of the number of methylene units in the spacer chain.
LC MATERIALS EXPERIMENTAL SET-UP
4 5 6 7 8 9 10 11 12 1380
100
120
140
160
180
Tem
per
ature
(ºC
)
Number of Methylene Units (n)
A homologous series of non-symmetric bimesogens was used as the LC hosts. For comparison, E7 (commercially available from Merck) was also used.
DCM laser dye was used.
The odd spaced lasers The even spaced lasers
The original concept of lasing from liquid crystals (LCs) was put forward by Goldberg and Schnur in the form of a patent in 1973 [1]. Despite some
experimental work (i.e. Il’chisin et al [2] demonstrated the modification of fluorescent emission in the presence of a reflection band) there was, at that time,
no unequivocal demonstration of lasing from a LC medium. In recent years lasing in LCs has been revisited as a result of the pioneering work of
Yablonovitch [3] and independently John [4] on photonic band gaps. In 1998, Kopp et al [5] experimentally demonstrated lasing from LCs for the first time.
To fully account for the slope efficiencies, addition factors must be considered.
Large elastic moduli give rise to reduced director fluctuations.
Reduced scattering losses within the LC laser system.
Enhanced LC laser emission energies
and slope efficiency
LASER DYE OPTIMISATION
This series exhibits an odd-even effect (observed in the physical parameters) which is a result of the molecular packing variation. The elongated shape of
the even-spaced molecules, in the all-trans configuration, increases the packing density compared to the bent-core shape of the odd-spaced molecules.
References
Where n is the birefringence
The odd spaced lasers exhibit slope efficiencies 3 times larger than the E7 laser [6, 7, 8].
Higher emission energies
the laser with 8 spacer units exhibits the highest
Lower threshold energies
Higher slope efficiencies
the laser with 8 spacer units exhibits the highest
The birefringence as a function of the number of methylene
units in the spacer chain.
4 5 6 7 8 9 10 11 12 130.16
0.18
0.20
0.22
0.24
0.26
Bir
efri
nge
nce
Number of Methylene Units (n)
The even spaced molecule. The odd spaced molecule.
400 450 500 550 6000.0
0.5
1.0
1.5
2.0
Ab
sorb
ance
Wavelength (nm)
To optimise the LC laser, the bimesogen with 8 spacer units (exhibiting the lowest threshold energy and the highest slope efficiency) is used as the host.
•An alternative laser dye is used, PM597, for which the absorption peak is optimised to the pump wavelength, 532 nm.
The absorption spectra of DCM (solid black curve) and PM597
(dashed curve). The vertical dashed line indicates the pump wavelength.
A slope efficiency of ~ 20 %
•A LC host with high birefringence gives rise to a laser with low threshold energy.
•Birefringence is not the only factor to influence the slope efficiency [11].
•A correlation between the host elastic moduli and the slope efficiency was noted.
•An increase in the elastic moduli reduces the scattering losses within the system.
•By optimising all material parameters, a slope efficiency of ~ 20 % was achieved.
[1] Goldberg L. S. and Schnur J. M., Nov. 6, 1973, United States Patent, 3771065
[2] Il’chishin et al, JETP Lett. (1980) 32, 24
[3] Yablonovitch, E., Phys. Rev. Lett. (1987) 58, 2059
[4] John, S., Phys. Rev. Lett., (1987) 58, 2486
[5] Kopp V. I. et al, Opt. Lett., (1998) 23 (21)
[6] Ford A. D. et al, Proc. SPIE, (2005) 5741, 217
[7] B. Taheri,et al, Mol. Cryst. Liq. Cryst. (2001) 358, 73
[8] Morris S. M. et al, Proc. SPIE, (2005) 5741, 118
[9] Cao W. et al, Mol. Cryst. Liq. Cryst, (2005), 429, 101
[10] Morris S. M. et al, J. SID, (2006) 14 (6)
[11] Morris S. M. et al J. Appl. Phys, (2005) 97, 023103
0 5 10 15 20 25 30 35 40 45 500.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
n=12
n=6, 10
n=8
Em
issi
on E
ner
gy (J
)
Excitation Energy (J)
The director within a chiral nematic LC, rotates about a single axis where one full rotation describes the pitch (P). Light incident in a direction parallel to the helix axis with the same handedness as the helix and with wavelength of the order of P will be forbidden to propagate through the structure and thus is
reflected. Consequently chiral nematic LCs are self-organising, one dimensional photonic structures. With the inclusion of a laser dye and under optical
excitation, low threshold lasing occurs at the band edge provided that the band edge coincides with the spontaneous emission spectrum of the dye.
In this paper we use a homologous series of non-symmetric bimesogen LCs as the hosts where the only variation between molecules is the length and parity of
the spacer chain [6]. We examine the emission properties from these bimesogenic lasers and compare them to the emission properties of a laser using
E7 as the host (a commonly used host for LC lasers [7]).
By optimising the material parameters we show a slope efficiency of ~ 20 % .