Non-critically phase-matched second harmonic generation and third order nonlinearity
in organic crystal glucuronic acid γ−lactone
Ravi Kiran Saripalli, Naga Krishnakanth Katturi, Venugopal Rao Soma, H. L. Bhat, and Suja Elizabeth
Citation: Journal of Applied Physics 122, 223110 (2017);
View online: https://doi.org/10.1063/1.5008322
View Table of Contents: http://aip.scitation.org/toc/jap/122/22
Published by the American Institute of Physics
JOURNAL OF APPLIED PHYSICS 122, 223110 (2017)
Non-critically phase-matched second harmonic generation and third order
nonlinearity in organic crystal glucuronic acid c-lactone
Ravi Kiran Saripalli,1,a) Naga Krishnakanth Katturi,2 Venugopal Rao Soma,2 H. L. Bhat,1
and Suja Elizabeth1
1
Department of Physics, Indian Institute of Science, Bangalore 560012, India
Advanced Centre of Research in High Energy Materials (ACRHEM), University of Hyderabad,
Hyderabad 500046, India
2
(Received 5 October 2017; accepted 27 November 2017; published online 14 December 2017)
The linear, second order, and third order nonlinear optical properties of glucuronic acid c-lactone single crystals were investigated. The optic axes and principal dielectric axes were identified through
optical conoscopy and the principal refractive indices were obtained using the Brewster’s angle
method. Conic sections were observed which is perceived to be due to spontaneous non-collinear
phase matching. The direction of collinear phase matching was determined and the deff evaluated in
this direction was 0.71 pm/V. Open and closed aperture Z-scan measurements with femtosecond
pulses revealed high third order nonlinearity in the form of self-defocusing, two-photon absorption,
as well as saturable absorption. Published by AIP Publishing. https://doi.org/10.1063/1.5008322
I. INTRODUCTION
The nonlinear optical (NLO) properties of organic materials are due to the presence of delocalized electrons in p
bonding orbitals and their magnitude depends on the extent
of polarizability of these electrons. The search for new
organic NLO materials is facilitated by ease in processing
methods and prospects in novel applications. Organic NLO
materials, in general, possess a high laser damage threshold,
a low dielectric constant, and an enhanced speed of NLO
response.1 Many organic crystals are known to have high
non-linear coefficients.2–7 However, most of them exhibit a
platy or needle type morphology and have a cutoff wavelength close to the second-harmonic wavelength (532 nm) of
the fundamental wavelength (1064 nm) of the Nd:YAG laser.
Saccharides, on the other hand, exhibit an extremely good
UV transparency and offer a combination of attractive properties like chirality (ensuring that these materials crystallize
in a non-centrosymmetric space group), large birefringence,
low dispersion (permitting the possibility of phase-matched
nonlinear optical applications), and can be synthesized in
bulky morphologies.8–13
In our previous work, details of crystal growth, crystal
structure, dielectric dispersion, and piezoelectricity of
organic an NLO saccharide material, Glucuronic acid cLactone (GAL) were reported.14 We had shown that GAL
crystals possess a low UV cut-off, a large laser damage
threshold, are phase-matchable, and display non-collinear
phase matching.15 Thus, GAL is considered an excellent candidate for second-order NLO applications especially because
it is highly transparent in the visible range and has a low
UV-cutoff. GAL also has a high laser damage threshold
when compared to other organic materials.14,15 Additionally,
the existence of piezoelectric resonance along with high nonlinearity in GAL, makes it suitable for resonance enhanced
electro-optic applications, where the requirement for a high
a)
E-mail: saripark85@gmail.com
0021-8979/2017/122(22)/223110/9/$30.00
driving electric field for electro-optic modulation can be
effectively overcome when operated at its piezoelectric resonance frequency.14,16 A complete understanding of optical
properties is required for exploiting GAL crystals for various
NLO and electro-optic applications. Here, we report a
detailed study of the determination of principle refractive
indices. A direction of phase matching was obtained by
angle tuned non-critical phase matching and deff along this
direction was calculated.
Organic molecules with large third-order optical nonlinearities have many potential applications especially in optical switching due to their fast response times and in optical
signal processing that show applied optical field intensity
dependent refractive indices.17 This would facilitate the
development of devices for all-optical signal processing.18–20
However, many organic crystals exhibiting high third order
nonlinearity are usually either opaque in the visible wavelength range, or are difficult to grow into big sizes.21 Open
and closed aperture z-scan measurements were made to analyze third order nonlinearity in GAL.
II. EXPERIMENTAL DETAILS
Details of the single crystal growth of GAL have already
been reported earlier.14 The grown crystals were sliced in the
required orientation and polished before using them for further experiments.
A. Conoscopy measurement
The GAL crystal plate is placed on a goniometer between
two cross polarizers. A diverging beam of light is passed
through the assembly and the interference pattern is imaged
onto a screen. A continuous He:Ne laser (Melles Griot 05LHR-171) of wavelength 633 nm and power 15 mW was used
as the light source. The optical setup is illustrated in Fig. 1.
The refractive indices along different directions between ordinary and extraordinary beams cause different interference
122, 223110-1
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J. Appl. Phys. 122, 223110 (2017)
FIG. 1. Optical setup for conoscopy measurements.
patterns on the screen as the crystal is rotated. As the crystal
is rotated in a way that the incident beam is along the optic
axis of the crystal, a symmetric interference pattern with a
definite minimum at the centre (or a melatope) is obtained.
This is because the refractive indices of the two beams are the
same along the optic axis. In biaxial crystals, two such orientations of the crystal exist which denote the directions of the
two optic axes. Linear dark regions (Isogyres) are obtained in
the interference patterns since zero transmission of light
occurs perpendicular to either of the polarizers. Thus in uniaxial crystals, a perpendicular cross is obtained that matches the
direction of the two polarizers. The position of isogyres is
more complex in biaxial crystals.
B. Refractive index measurement
Refractive indices were determined using the Brewster’s
angle method.22 At a particular angle of incidence, known as
the Brewster’s angle, the polarized light is perfectly transmitted through the crystal with no reflection. It has been
demonstrated that refractive indices obtained by the
Brewster’s angle method are accurate to three decimals.23
Polarized light is incident on the surface of the crystal
and the reflected light intensity is measured using a detector.
The crystal is placed on a goniometer and rotated till the signal is minimum in the detector, which is the Brewster’s
angle. This method is accurate only when the refractive
index is measured for visible wavelengths of light since the
detector needs to be moved while the crystal plate is being
rotated. The optical setup for refractive index measurement
is shown in Fig. 2 and a schematic for a particular geometry
of the experiment is illustrated in Fig. 3 for which the
Brewster’s angle, hi ¼ hB ) jEr j ¼ 0 can be calculated
using the following equation:
!
2
n
1
;
(1)
tan2 hB ¼ n2z 2x
nz 1
FIG. 2. Optical setup for refractive index measurements.
FIG. 3. Schematic showing a particular geometry for refractive index
measurements.
where nx, ny, and nz are the refractive indices of the material
along the x, y, and z axes of the crystal, respectively.
Similarly, for x and y-cut crystals, the above equation is
cyclic. By measuring the Brewster’s angles along the three
directions, the three equations can be solved to obtain the
refractive indices along the three directions.
C. Determination of deff
The GAL crystal plate is mounted on a goniometer and
the angle at which the laser beam is incident perpendicular
to the plate is set to zero in the goniometer. A focused
TEM00 laser beam of wavelength 1064 nm was incident perpendicular to the surface of the crystal plate after which a
dichroic mirror is used to direct the second harmonic generated (SHG) 532 nm beam away from the fundamental beam.
The intensities of both fundamental (1064 nm) and generated
(532 nm) beams are monitored using a pyroelectric sensor
(25BBDIF Ophir). The laser setup for angular phase matching is shown in Fig. 4.
D. Z-scan measurements
The sign and magnitude of third-order nonlinearities can
be determined using the Z-scan technique. This gives information about nonlinear absorption and nonlinear refraction
coefficients.24,25 The sample is scanned through the focal
plane of a tightly focused Gaussian beam. The method
involves measurements with an aperture placed between the
sample and the detector (closed aperture Z-scan) and those
without the aperture (open aperture Z-scan). The optical
setup used for closed aperture z-scan measurements is shown
in Fig. 5.
Information on nonlinear contribution to the refractive
index can be obtained by performing closed aperture Z-scan
measurements. Here, the medium acts as an intensity dependent lens. As it is moved along the beam path, its effective
focal length changes, since the incident intensity is varying.
This is reflected in the intensity distribution at the aperture in
the far field. The amount of energy transmitted through the
aperture depends on the sample location on the z-axis and on
the sign of the nonlinear refractive index coefficient n2. Open
aperture z-scan measurements were performed to obtain information about the non-linear absorption in the sample. A peak
at the focus implies that there is saturable absorption in the
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FIG. 4. Optical setup for angular phase
matching.
FIG. 5. Optical
measurements.
sample. In order to estimate the dominant nonlinear absorption, whether it is a two-photon absorption (2PA) or a threephoton absorption (3PA), the experimental open aperture data
are fitted using the theoretical formulation developed by
Sheik Bahae et al.19 Here, the transmittance of the open aperture Z-scan curve for n-photon absorption is given by
TOAðnPAÞ
ð2Þ
TOAð2PAÞ ¼ 1
2
3=2
z2
1þ 2
z0
!;
ð2Þ
leff
ð3Þ
ð3Þ
vR ¼
(2)
1 e2al
:
2a
(4)
and
ð3Þ
TOAð3PAÞ ¼ 1
a3 Io2 leff
33=2 1 þ
z2
z2o
!2 ;
ð3Þ
leff ¼
TCA ¼ 1 h
4D/0 ðz=z0 Þ
i;
ih
1 þ ðz=z0 Þ2 9 þ ðz=z0 Þ2
(5)
where Du0 is the phase change of the laser beam due to the
nonlinear refraction estimated using the theoretical fit to
experimental (closed-aperture) data. The third order nonlinear refractive index (n2) is calculated from Du0 as
n2 ¼
jD/0 jk
:
2pI0 leff
4n20 eo c
n2 ðSI unitsÞ;
3
(9)
c2 n20
b:
240p2 x
(10)
ð3Þ
vi
¼
Here, n0 is the linear refractive index, c is the velocity of
light in vacuum, and x is the angular frequency of the light
field. Open and closed aperture measurements were performed for two wavelengths 800 nm and 700 nm. The parameters of the laser and sample used in the experiment are
listed in Table I.
TABLE I. Summary of laser parameters and sample dimensions used in the
Z-scan experiments.
Parameters
The nonlinear refractive index (n2) is deduced from
closed aperture measurements by fitting the data to
(6)
(7)
(8)
ð3Þ
(3)
ð3Þ
cn20
n2 ðGaussian unitsÞ;
120p2
vR ¼
1 eat
¼
a
z-scan
vð3Þ ¼ vR þ ivi ;
Transmittance for the two-photon (n ¼ 2) and threephoton (n ¼ 3) absorption was deduced as
a2 I0 leff
for
The nonlinear refractive index n2 and the nonlinear
absorption coefficient b (a2) are related to the real and imaginary parts, respectively, of third order nonlinear optical susceptibility v(3) through the following relations:26–28
ðnÞ
an I0n1 Leff
¼1
!n1 :
2
z
n3=2 1 þ 2
z0
setup
Beam waist (x0)
Rayleigh range (z0)
Repetition rate (r)
Pulse width (t)
Pulse energy (Ep)
Total avg. power ¼ Ep*r
Input power (P)
Input energy (E) ¼ P/r
Input intensity (I0) ¼
E
2
x0
tp
2
Sample thickness (l)
Transmittance (T) (from UV-Vis data)
lnT
Linear absorption coefficient (ao)
l
800 nm
700 nm
25.5 lm
2.55 mm
86 MHz
150 fs
50 nJ
4.3 W
8 mW
9.302 1011 J
0.121 GW/cm2
22.3 lm
2.23 mm
86 MHz
150 fs
50 nJ
4.3 W
7.3 mW
8.488 1011 J
0.145 GW/cm2
2 mm
0.7
0.18 mm1
2 mm
0.7
0.18 mm1
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FIG. 6. Conoscopic image corresponding to the optic axis at 8.5 with
respect to the a-axis.
III. RESULTS AND DISCUSSION
A. Optical conoscopy
The (101) plate of the GAL crystal was mounted on a
goniometer with a 633 nm laser beam incident perpendicular
to the plate. This geometry was set at zero angle of the goniometer. The crystal is rotated about the b-axis which coincides with the rotation axis of the goniometer. The first optic
axis was obtained by rotating the plate by 35.6 in the anticlockwise direction. Thus, one of the optic axis is at 8.5 with
respect to the a-axis. When the (101) plate was rotated in the
clockwise direction (from 0 ) by 85.6 , the second optic axis
was found at 42.25 with respect to the c-axis. GAL crystallizes in the monoclinic symmetry with the P21 space group,
and the dielectric y-axis matches with the crystallographic baxis. The two angular bisectors to the optic axis yield the
directions of the x and z dielectric axes. The conoscopic
images corresponding to the two optic axes of the crystal are
shown in Figs. 6 and 7. Figure 8 shows the orientation of the
FIG. 8. Crystallographic orientation in the a-c plane of the crystal showing
the orientation of the crystallographic, optic, and dielectric axes.
crystallographic axes, optic axes, and the dielectric axes in the
a-c plane. The plates (of approximately 2 mm thickness) were
cut perpendicular to the x, y, and z directions.
B. Refractive index determination
The refractive indices obtained along the x, y, and z
directions at different wavelengths are tabulated in Table II.
The results reveal that GAL has a large birefringence of
about 0.04. The dispersion in the refractive index was fitted
to the Sellmeier equation29 of the form (ignoring higherorder terms; k is in nm)
n2 ¼ A þ
Bk2
:
k C
(11)
2
The fitting is shown in Fig. 9. The equations obtained
from the fit are
n2x ¼ 2:827
0:795k2
;
k2 þ 330946:565
(12)
TABLE II. Refractive indices measured along the x,y, and z directions for
different wavelengths.
Wavelength (nm)
FIG. 7. Conoscopic image corresponding to the optic axis at 42.25 with
respect to the c-axis.
405
532
543.5
594.1
632.8
700
800
nx
ny
nz
1.601
1.570
1.566
1.552
1.548
(not measured)
(not measured)
1.632
1.603
1.596
1.584
1.578
1.560
1.540
1.644
1.610
1.606
1.595
1.588
(not measured)
(not measured)
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FIG. 10. Two rings clearly observed on a screen indicating that GAL is a
type II phase-matching crystal.
FIG. 9. Dispersion in refractive indices fitted well to Sellmeir equations.
n2y
0:954k2
¼ 2:874 2
;
k þ 676186:023
(13)
0:834k2
:
k þ 217631:596
(14)
n2z ¼ 3:062
2
The angle (Vz) between the z-axis and the optic axis calqffiffiffiffiffiffiffiffiffi
n2 n2
culated for 633 nm wavelength was Vz ¼ sin1 ðnnyz ny2 nx2 Þ
z
x
¼ 60.47 which matches the angle obtained from the conoscopy measurement (60.50 ).
C. Phase matching and determination
of the second-order nonlinear co-efficient
In addition to the well known collinear phase matching
directions in nonlinear optical crystals, there can be in general, a wide range of phase-matched noncollinear secondharmonic-generation (SHG) processes for arbitrary propagation directions in them.30,31 When a focused TEM00 beam of
wavelength 1064 nm is incident perpendicular to the surface
of the (101) plate, two green rings are observed around the
intense spot of the fundamental wavelength on a laser beam
visualizer (wavelength range: 190 nm to 1600 nm). Figure 10
shows the two green rings observed on a black screen. The
crystals exhibit conic sections formed due to spontaneous
non-collinear second harmonic generation. Such non-
collinear phase matching occurs only in materials with high
birefringence. The observation of two rings in GAL indicates
that it is a type II SHG crystal.32 When the (101) plate of the
crystal is rotated about the b-axis in the clockwise direction,
the diameter of the rings decreases. After about a 10 rotation, the rings converge to a spot of high intensity, which is
the direction of collinear phase matching. Thus, we see
energy transfer from the non-collinear to collinear phase
matching. As the crystal is further rotated away, the spot
diverges into two rings. This is clearly seen in Fig. 11.
Thus, one direction of phase matching through critical
angle tuning was obtained by carefully rotating different
plates of the crystal and by observing the output on a screen.
The direction of collinear phase matching was observed to
be the closest to the z-axis of the crystal at 14.85 in the anticlockwise direction from the z-direction (Fig. 12). For further calculations along the phase matched direction, the
refractive index of GAL along this phase-matched direction
was approximated as nz. An accurate determination of the
deff in GAL crystals is possible if we cut the crystal perpendicular to the phase matched direction. This would allow us
to calculate the refractive indices along this direction.
However, cutting the crystal perpendicular to the phase
matched direction was impractical, as this direction was very
close to the cleavage planes of the crystal and cracks were
developed within the crystal while attempting to cut along
this direction.
FIG. 11. Energy transfer from the non-collinear to collinear direction in the angular phase matching experiment.
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J. Appl. Phys. 122, 223110 (2017)
FIG. 12. The phase matched direction is obtained by rotating the (101) plate
by 10 in the anti-clockwise direction. It is 14.85 from the z-axis of the
crystal.
To determine the conversion efficiency in the phase
matched direction, a dichroic mirror was used to separate the
generated 532 nm beam from the incident 1064 nm beam.
The energy of input and generated beams was measured. The
optical setup used is illustrated in Fig. 4. When a 1064 nm
beam of 23 mJ energy was incident in the phase matched
direction of the crystal (2 mm thickness), an output of 1.6 mJ
energy was observed for the generated 532 nm beam in the
power meter. This corresponds to a conversion efficiency
of 0.07.
To calculate the effective NLO coefficient (deff), the
conversion efficiency (g) was substituted in the equation
g¼
I2x
Ix
2 2
2x2 deff
l
¼
2
3
n2x nx c eo
sin ðDkl=2Þ
Dkl=2
2
(d36 ¼ 0.39 pm/V).33,34 The same experimental setup was
used to determine the deff of KDP along its phase matched
direction (Type II). The obtained deff value of 0.31 was close
to the reported value of 0.33.34 The deff value of GAL is comparable to several organic NLO materials, few of which are
listed in Table III. For GAL, v(2) is of the order of 1012 m/V.
No polarization dependent absorption was observed in
GAL and hence under the Kleinmann symmetry, four independent tensor elements (dil) are required to be determined
for GAL. The SHG tensor for GAL (monoclinic crystal with
2
3
0
0
0 d14 d15 0
yjjb) is given as: dil ¼ 4 0
0
0 d24 d14 0 5.
0 d14
d15 d24 d33 0
In the current study, we have determined only one direction
of phase-matching by rotating the angle h of the crystal for a
specific angle u. To determine the components of the SHG
tensor, we need to rotate the crystal along both these angles
to determine the h versus u phase matching map and also the
walk-off parameters. The determination of dil for GAL is
currently under progress and will be communicated in the
near future.
D. Third order nonlinearity
The open aperture data for 800 nm wavelength fitted only
to the 2PA process and fitting for the 3PA did not converge as
shown in Fig. 13. The fitting of the open aperture and closed
aperture experimental data is shown in Figs. 13–16. The open
aperture curves for both wavelengths show maximum transmittance at the focus (z ¼ 0) which indicates saturable absorption in GAL. Here, the absorption coefficient decreases when
measured using a high laser intensity and is given by the
expression26
a¼
Ix :
(15)
In the phase matched direction, l is the length of the
crystal in the phase matched direction (l ¼ 2/cos10 mm),
Dk ¼ 0, and the refractive index is approximately nz, nx
¼ nz ð1064 nmÞ ¼ 1:537, and n2x ¼ nz ð532 nmÞ ¼ 1:610. On
substituting these, we get deff as 0.71 pm/V. This is about
1.8 times the effective NLO coefficient d36 of KDP
ao
;
1 þ I=Is
(16)
where, ao is the low-intensity absorption co-efficient
(obtained from UV-Vis data) and Is is a parameter known as
the saturation intensity. The 800 nm open aperture experimental data was fitted using Eq. (3) and by treating the linear
absorption coefficient a and nonlinear absorption coefficient b
(a2) as parameters. From the fitting, we obtained the parameters as b ¼ 3:51 109 cm/W and a ¼ 0.142 mm1, and
TABLE III. deff values of few organic crystals.
Material
GAL
Urea
Saccharose
L-Arginine Phosphate Monohydrate (LAP)
Deuterated L-Arginine Phosphate (DLAP)
L-Pyrrolidone-2-carboxylic Acid (L-PCA)
L-Arginine maleate dihydrate (LAMD)
m-Dinitrobenzene (MDNB)
m-Bis(aminomethyl)benzene (BAMB)
L-N-(5-Nitro-2-pyridyl)leucinol (NPLO)
Symmetry
Wavelength (nm)
deff (pm/V)
Reference
P21
4 2m
P21
P21
P21
P212121
P1
Pna21
mm2
2
1064
1064
…
1064
1064
532
1064
1064
1064
1064
0.71
1.418
0.078
This work
19
35
6
6
5,36
2
37–39
39,40
39,41
0.37
0.32
0.61
0.63
0.96
2.7
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Saripalli et al.
FIG. 13. Open aperture data for 800 nm fitted to the open aperture equation
for two-photon absorption and the fitting did not converge for three-photon
absorption.
J. Appl. Phys. 122, 223110 (2017)
FIG. 15. Open aperture data for 700 nm fitted to the open aperture equation
for two-photon absorption.
thus, a saturation intensity of Is ¼ 0.45 GW/cm2 was estimated
from Eq. (16).
The closed aperture Z-scan data revealed a peak followed by a valley in the normalized transmittance of GAL.
This indicates that GAL has a negative nonlinear refraction
or self-defocusing. The closed aperture experimental data
was fitted using Eq. (5), with D/ as the fitting parameter. For
both wavelengths, the value of D/ estimated was found to
be less than p. The values of the nonlinear optical parameters
obtained for both wavelengths are tabulated in Table IV. It
must be noted that the estimated values are with a degree of
uncertainty arising from errors in beam waist measurements
and calibration of neutral density filters. Since the experiments were performed with high repetition rate (86 MHz)
pulses, a significant thermal contribution is expected in the
observed large NLO coefficients. A shoulder appears in the
open aperture data corresponding to 700 nm (Fig. 15) as we
approach the focus (at z ¼ 1) which is likely to be due to
the thermal contributions arising from high repetition rate of
the input laser beam. However, the value of b obtained from
the fitting seemed fairly reasonable and has the same order
of magnitude. These measurements help us relate the types
of third-order nonlinearities present in GAL and to obtain a
good estimate of the corresponding parameters.
In general, there are two types of organic crystals that
are studied for third-order NLO properties, which are polymeric crystals and charge-transfer (CT) salts.42 Polymeric
crystals are crystallized from p-conjugated polymers. The
third-order NLO parameters of these crystals are slightly different from the polymers, but are of the same magnitude.
Poly-(2,4-hexadiyn-1,6-diol-bis(p-toluenesulfonate) (PTS) is
a popular example of a polydiacetylene polymeric crystal
having a large v(3).43 However, it is difficult to process and
has long tails in its transient optical response at high laser
intensities.42 Polymeric crystals of polyacetylenes are known
to possess extremely an large v(3) but are not stable in air and
need protection to prevent oxidative degradation.42 Organic
charge-transfer salts are mixed stacked structures and exhibit
high third-order nonlinearity. However, they are difficult to
grow into big sizes and generally have large absorption in
the visible range.21 Perylene/tetracyanoethylene (TCNE),
Pyrene/TCNE, and Naphthanthracene/TCNE are examples
of CT complexes showing very large v(3), but have large
FIG. 14. Closed aperture data for 800 nm fitted to the closed aperture
equation.
FIG. 16. Closed aperture data for 700 nm fitted to the closed aperture
equation.
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J. Appl. Phys. 122, 223110 (2017)
TABLE IV. Third-order NLO parameters of GAL obtained by Z-scan measurements.
D/0 [obtained from fitting
b (cm/W) [obtained from
Wavelength
ð3Þ
ð3Þ
n2 (cm2/W) ð1013 Þ vi ðesuÞ ð1012 Þ vR ðesuÞ ð1011 Þ vð3Þ ðesuÞ ð1011 Þ
with Eq. (5)]
(nm)
fitting with Eq. (3)] ð109 Þ
800
700
3.51
4.86
0.78
1.58
4.87
7.23
1.34
1.67
2.92
4.51
2.93
4.52
TABLE V. v(3) values of few organic crystals.
Material
Input Wavelength (nm) jbj (cm/W) (109 ) v(3) (esu) (1012 ) Reference
Molecular crystals
GAL
1-(3-Nitrophenyl)-5-phenylpenta-2,4-dien-1-one
3,4-Dimethoxy-4-methoxychalcone
1-(4-aminophenyl)-3-(3,4,5-trimethoxyphenyl) prop-2-en-1-one
(2E)-1-(1,3-Benzodioxol-5-yl)-3-[4-(dimethyl amino)phenyl] prop-2-en-1-one
Polymeric crystals
Polyacetylene
Poly-(2,4-hexadiyn-1,6-diol-bis-(p-toluenesulfonate)) (PTS)
Poly-(5,7-dodecadiyne-1,2-diol-bis-(phenylurethane)) (TCDU)
Charge transfer complex salts
Perylene/tetracyanoethylene (TCNE)
Pyrene/TCNE
Naphthanthracene/TCNE
absorption in the 300 nm to 500 nm wavelength range which
is a disadvantage for applications.21
GAL crystals on the other hand, have high transmission
in the visible wavelength range with a low UV-cutoff at
250 nm, can grow to big sizes, and are stable in air up to their
melting point at 171 C.14,15 Our measurements show that
the magnitude of v(3) for GAL is reasonably large and has a
much larger value among the recently reported molecular
crystals. Some selected popular organic crystals and their
third-order nonlinear optical properties are listed in Table V
for comparison. The second-order absorption (b) in GAL is
comparable to the typical values for molecular crystals. This
makes GAL an attractive material for various NLO, electrooptics, and switching applications.
IV. CONCLUSIONS
Detailed results of the linear and nonlinear optical properties in an organic NLO single crystal, Glucuronic acid cLactone (GAL) are reported. The dielectric axes of GAL
were determined through conoscopy measurements. Once
the x, y, and z directions were determined, the refractive
indices of GAL along these directions were determined for
several wavelengths. The dispersion in the refractive index
was fitted to Sellmeir equations by which the refractive index
at any wavelength could be calculated. Conic sections,
formed due to spontaneous non-collinear second harmonic
generation, were observed as two rings when projected onto
a screen. This is a consequence of the GAL crystal being
highly birefringent, and can be classified as a type II second
harmonic crystal. By rotating the crystal and observing the
rings on the screen, the direction of collinear phase matching
was determined when these rings collapsed into an intense
800
900
800
780
532
3.51
2
1.7
18.2
…
29.3
9
6.68
1.89
0.19
This work
44
45
27
28
1064
2620
2620
…
…
…
9000
160
37
46
43,47
47
530
530
530
…
…
…
1000
230
130
17,21
21
21
spot. This direction is the closest to the z-axis of the crystal
by 14.85 in the anti-clockwise direction. The deff along this
direction was calculated as 0.71 pm/V for input pulses of
1064 nm wavelength. This value is in comparison to that
reported in many organic NLO materials and almost twice
that of inorganic crystal KDP. From the closed aperture Zscan measurements, we observed that GAL possesses a negative nonlinear refraction and the value of n2 was obtained as
1013 cm2/W. The open aperture measurement reveals saturable absorption in GAL with a saturation intensity (Is) of
0.45 GW/cm2. The data converged only to two photon
absorption and the 2PA coefficient (b) was obtained as
109 cm/W. The magnitude of the nonlinear optical susceptibility v(3) was 1019 m2/V2. The large second and
third-order nonlinear optical susceptibilities make GAL a
potential candidate for various NLO applications.
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