Influence of polarization azimuth on twophoton absorption in CdS
To study the dependence of the two-photon absorption coefficient β on a polarization azimuth ϕ we used the method of one light source at the ruby laser frequency. It was shown that β changes smoothly with increasing ϕ from zero to π/2. The minimum value of β was realized in the vicinity of ϕ = 4...
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Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2005
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| Zitieren: | Influence of polarization azimuth on twophoton absorption in CdS / N.R. Kulish, M.P. Lisitsa, N.I. Malysh // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2005. — Т. 8, № 4. — С. 72-73. — Бібліогр.: 8 назв. — англ. |
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irk-123456789-1215602017-06-15T03:02:56Z Influence of polarization azimuth on twophoton absorption in CdS Kulish, N.R. Lisitsa, M.P. Malysh, N.I. To study the dependence of the two-photon absorption coefficient β on a polarization azimuth ϕ we used the method of one light source at the ruby laser frequency. It was shown that β changes smoothly with increasing ϕ from zero to π/2. The minimum value of β was realized in the vicinity of ϕ = 45°. 2005 Article Influence of polarization azimuth on twophoton absorption in CdS / N.R. Kulish, M.P. Lisitsa, N.I. Malysh // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2005. — Т. 8, № 4. — С. 72-73. — Бібліогр.: 8 назв. — англ. 1560-8034 PACS 42.25.Bs; 42.65.-K http://dspace.nbuv.gov.ua/handle/123456789/121560 en Semiconductor Physics Quantum Electronics & Optoelectronics Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
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To study the dependence of the two-photon absorption coefficient β on a polarization azimuth ϕ we used the method of one light source at the ruby laser frequency. It was shown that β changes smoothly with increasing ϕ from zero to π/2. The minimum value of β was realized in the vicinity of ϕ = 45°. |
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Article |
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Kulish, N.R. Lisitsa, M.P. Malysh, N.I. |
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Kulish, N.R. Lisitsa, M.P. Malysh, N.I. Influence of polarization azimuth on twophoton absorption in CdS Semiconductor Physics Quantum Electronics & Optoelectronics |
| author_facet |
Kulish, N.R. Lisitsa, M.P. Malysh, N.I. |
| author_sort |
Kulish, N.R. |
| title |
Influence of polarization azimuth on twophoton absorption in CdS |
| title_short |
Influence of polarization azimuth on twophoton absorption in CdS |
| title_full |
Influence of polarization azimuth on twophoton absorption in CdS |
| title_fullStr |
Influence of polarization azimuth on twophoton absorption in CdS |
| title_full_unstemmed |
Influence of polarization azimuth on twophoton absorption in CdS |
| title_sort |
influence of polarization azimuth on twophoton absorption in cds |
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Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
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2005 |
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http://dspace.nbuv.gov.ua/handle/123456789/121560 |
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Influence of polarization azimuth on twophoton absorption in CdS / N.R. Kulish, M.P. Lisitsa, N.I. Malysh // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2005. — Т. 8, № 4. — С. 72-73. — Бібліогр.: 8 назв. — англ. |
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Semiconductor Physics Quantum Electronics & Optoelectronics |
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AT kulishnr influenceofpolarizationazimuthontwophotonabsorptionincds AT lisitsamp influenceofpolarizationazimuthontwophotonabsorptionincds AT malyshni influenceofpolarizationazimuthontwophotonabsorptionincds |
| first_indexed |
2025-07-08T20:07:30Z |
| last_indexed |
2025-07-08T20:07:30Z |
| _version_ |
1837110658567503872 |
| fulltext |
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2005. V. 8, N 4. P. 72-73.
© 2005, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine
72
Fig. 1. Variation of the reverse nonlinear transmission 1/T
with the intensity I0 of linearly polarized ruby laser
radiation. The thickness of CdS samples equals 5 mm. The
polarization azimuth ϕ = 15°. Points are the experiment,
solid line – calculation by the formula (1).
PACS 42.25.Bs; 42.65.-K
Influence of polarization azimuth on two-photon absorption in CdS
N.R. Kulish, M.P. Lisitsa, N.I. Malysh
V. Lashkaryov Institute of Semiconductor Physics, NAS of Ukraine, 45, prospect Nauky, 03028 Kyiv, Ukraine
Abstract. To study the dependence of the two-photon absorption coefficient β on a
polarization azimuth ϕ we used the method of one light source at the ruby laser
frequency. It was shown that β changes smoothly with increasing ϕ from zero to π/2.
The minimum value of β was realized in the vicinity of ϕ = 45°.
Keywords: polarization, two-photon absorption, CdS, azimuth of polarization.
Manuscript received 01.08.05; accepted for publication 25.10.05.
1. Introduction
A two-photon absorption is the principal reason of losses
of the light intensity when light spreads in the elements
of power optics [1, 2]. The two-photon absorption
coefficient β is the quantitative measure of these losses.
In most experimental works, in which the two-photon
absorption in one-axis crystals was measured, the value
β was determined either for a direction of the light wave
electric vector E that was parallel (Е⎟⎟ С) or
perpendicular (Е ⊥ C) to the crystal optical axis (С) [3-
5)]. It is determined that the values of β are different for
Е⎟⎟ С and Е ⊥ C. The theory of influence of the light
polarization on the value of two-photon absorption in the
hexagonal А2В6 crystals and in the А3В5 semiconductors
have been given in [6, 7]. The experimental data about
the influence of the polarization azimuth ϕ on the β
value are not complete. In this work, the dependence ϕ
versus β was investigated in detail using a typical one-
axial crystal of CdS as an example. The CdS crystal
often serves as a model object in researches of the
nonlinear optical phenomena in crystals.
2. Method and results
In our experiments, we used 20-ns pulses at 694.3 nm
wavelength from a ruby laser. The Glann prism was used to
set linear light polarization. The polarization azimuth of ϕ
was determined using the rotating Glann prism. The optical
axis of CdS single crystal was placed in a plane surface.
The thickness of CdS sample was equaled to 5 mm. The
method of one light source was used to determine β. The
ЭЛУ-ФТ photomultipliers was used to measure the input
(I0) and output (I) intensities. The value I0 was changed by
the set of the calibrated neutral grey filters.
Influence of systematic errors on the value β was
reduced to minimum in the following way [5, 8]: the
light beam had nearly cylindrical form, the distribution
of light intensity on the cross-section area was nearly
homogeneous; the reflection of light from the back side
of crystal was taken into account; the transmission value
was averaged by 10-15 pulses with the same distributing
of pulse intensity in time.
For all values of polarization azimuth experimental
dependence of reverse transmission 1/T = I0/I on I0
(points) was similar to that shown in Fig. 1. For its
approximation, the following formula was used [3-5]:
( )
( )
( )[ ]
( )RK
Kd
R
Kd
I
I
T −
−
+
−
==
1
1exp
1
exp1
2
0 β , (1)
where K and β are the coefficients of single and two-
photon absorption, d is the thickness, R is the reflection
coefficient. Formula (1) (Fig. 1, solid line) describes
well the experimental dependence 1/T = f(I0) (Fig. 1,
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2005. V. 8, N 4. P. 72-73.
© 2005, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine
73
Fig. 2. Dependence of the two-photon absorption coef-
ficient β on the azimuth of polarization ϕ. Points are the
experiment, solid curve is the calculation.
Fig. 3. Parametric dependence of input (1) and output (2)
intensities on the polarization azimuth ϕ.
points). The point intersection of solid line (Fig. 1) with
y-axis determined a constant A. From this constant, we
estimated the single-photon absorption coefficient К =
(1/d)ln[A(1−R)2]. The slopping angle of solid line
determined a constant B. From this constant, we
estimated the two-photon absorption coefficient β =
[BK(1−R)]/[A(1−R)2−1].
It was found that, within the limits of ten percent
error, the coefficient of single-photon absorption does
not depend on the polarization azimuth. The coefficient
of two-photon absorption has the clear pronounced
dependence on the polarization azimuth (Fig. 2). There
is a qualitative agreement with the theoretical curve [6].
This dependence has been explained in such a way. If
the azimuth of the polarization ϕ ≠ nπ/2, where n = 0, 1,
2, 3, ..., it is possible to consider that, in one-axis crystal,
two light beams travel in the same direction. At the input
into a crystal, the intensity of the component with Е ⊥ С
is IYO = I0sin2ϕ, but the component with Е⎟⎟ С is IXO =
I0cos2ϕ. These components set a parametric
representation of the dependence I0 on ϕ (Fig. 3,
curve 1). In accordance with (1), when these beams
travel in a crystal, their intensities decreases and output
intensities become equal to IY and IX, accordingly. The IY
and IX components set a parametric representation of the
dependence I on ϕ (Fig. 3, curve 2). It is clear that the
most pronounced change of I takes place at ϕ = nπ/2 and
the least one – near ϕ = nπ/4. In accordance with (1), the
largest changes of the intensity are due to the largest
changes of I0/I and β.
3. Conclusions
We have demonstrated the dependence of two-photon
absorption coefficient on the polarization azimuth of
pumping radiation. The presence of this dependence has
to be taken into account at planning and using the power
optics elements, which are made of one-axis crystals.
References
1. P. Liu, W.L. Smith, H. Lotem, J.H. Bechtel, N.
Blombergen, R.S. Adhav, Absolute two-photon
absorption coefficients at 355 and 266 nm // Phys.
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photon absorption of radiation on the generation of
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Two-photon absorption of the mixed semiconductors
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absorption // Fizika i tekhnika poluprovodnikov
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