53 research outputs found
Probing superconducting phase fluctuations from the current noise spectrum of pseudogaped metal-superconductor tunnel junctions
We study the current noise spectra of a tunnel junction of a metal with
strong pairing phase fluctuation and a superconductor. It is shown that there
is a characteristic peak in the noise spectrum at the intrinsic Josephson
frequency when is smaller than the pairing gap but
larger than the pairing scattering rate. In the presence of an AC voltage, the
tunnelling current noise shows a series of characteristic peaks with increasing
DC voltage. Experimental observation of these peaks will give direct evidence
of the pair fluctuation in the normal state of high- superconductors and
from the half width of the peaks the pair decay rate can be estimated.Comment: 4 pages, 3 figure
Nonequilibrium electron cooling by NIS tunnel junctions
We discuss the theoretical framework to describe quasiparticle electric and
heat currents in NIS tunnel junctions in the dirty limit. The approach is based
on quasiclassical Keldysh-Usadel equations. We apply this theory to diffusive
NIS'S tunnel junctions. Here N and S are respectively normal metal and
superconductor reservoirs, I is an insulator layer and S' is a nonequilibrium
superconducting lead. We calculate the quasiparticle electric and heat currents
in such structures and consider the effect of inelastic relaxation in the S'
lead. We find that in the absence of strong relaxation the electric current and
the cooling power for voltages are suppressed. The value of this
suppression scales with the diffusive transparency parameter. We ascribe this
suppression to the effect of backtunneling of nonequilibrium quasiparticles
into the normal metal.Comment: 12 pages, 6 figures, proceedings, to be published in JLT
Circuit theory of multiple Andreev reflections in diffusive SNS junctions: the incoherent case
The incoherent regime of Multiple Andreev Reflections (MAR) is studied in
long diffusive SNS junctions at applied voltages larger than the Thouless
energy. Incoherent MAR is treated as a transport problem in energy space by
means of a circuit theory for an equivalent electrical network. The current
through NS interfaces is explained in terms of diffusion flows of electrons and
holes through tunnel and Andreev resistors. These resistors in diffusive
junctions play roles analogous to the normal and Andreev reflection
coefficients in OTBK theory for ballistic junctions. The theory is applied to
the subharmonic gap structure (SGS); simple analytical results are obtained for
the distribution function and current spectral density for the limiting cases
of resistive and transparent NS interfaces. In the general case, the exact
solution is found in terms of chain-fractions, and the current is calculated
numerically. SGS shows qualitatively different behavior for even and odd
subharmonic numbers, and the maximum slopes of the differential resistance
correspond to the gap subharmonics. The influence of inelastic scattering on
the subgap anomalies of the differential resistance is analyzed.Comment: 14 pages, 9 figures, title and text revised, to appear in PR
Two-dimensional array of diffusive SNS junctions with high-transparent interfaces
We report the first comparative study of the properties of two-dimensional
arrays and single superconducting film - normal wire - superconducting film
(SNS) junctions. The NS interfaces of our SNS junctions are really high
transparent, for superconducting and normal metal parts are made from the same
material (superconducting polycrystalline PtSi film). We have found that the
two-dimensional arrays reveal some novel features: (i) the significant
narrowing of the zero bias anomaly (ZBA) in comparison with single SNS
junctions, (ii) the appearance of subharmonic energy gap structure (SGS), with
up to n=16 (eV=\pm 2\Delta/n), with some numbers being lost, (iii) the
transition from 2D logarithmic weak localization behavior to metallic one. Our
experiments show that coherent phenomena governed by the Andreev reflection are
not only maintained over the macroscopic scale but manifest novel pronounced
effects as well. The behavior of the ZBA and SGS in 2D array of SNS junctions
strongly suggests that the development of a novel theoretical approach is
needed which would self-consistently take into account the distribution of the
currents, the potentials, and the superconducting order parameter.Comment: RevTex, 5 pages, 5 figure
Full Current Statistics in Diffusive Normal-Superconductor Structures
We study the current statistics in normal diffusive conductors in contact
with a superconductor. Using an extension of the Keldysh Green's function
method we are able to find the full distribution of charge transfers for all
temperatures and voltages. For the non-Gaussian regime, we show that the
equilibrium current fluctuations are enhanced by the presence of the
superconductor. We predict an enhancement of the nonequilibrium current noise
for temperatures below and voltages of the order of the Thouless energy
E_Th=D/L^2. Our calculation fully accounts for the proximity effect in the
normal metal and agrees with experimental data. We demonstrate that the
calculation of the full current statistics is in fact simpler than a concrete
calculation of the noise.Comment: 4 pages, 2 figures (included
Charge and Spin Effects in Mesoscopic Josephson Junctions
We consider the charge and spin effects in low dimensional superconducting
weak links. The first part of the review deals with the effects of
electron-electron interaction in Superconductor/Luttinger liquid/Superconductor
junctions. The experimental realization of this mesoscopic hybrid system can be
the individual single wall carbon nanotube that bridges the gap between two
bulk superconductors. The dc Josephson current through a Luttinger liquid in
the limits of perfectly and poorly transmitting junctions is evaluated. The
relationship between the Josephson effect in a long SNS junction and the
Casimir effect is discussed. In the second part of the paper we review the
recent results concerning the influence of the Zeeman and Rashba interactions
on the thermodynamical properties of ballistic S/QW/S junction fabricated in
two dimensional electron gas. It is shown that in magnetically controlled
junction there are conditions for resonant Cooper pair transition which results
in giant supercurrent through a tunnel junction and a giant magnetic response
of a multichannel SNS junction. The supercurrent induced by the joint action of
the Zeeman and Rashba interactions in 1D quantum wires connected to bulk
superconductors is predicted.Comment: 36 pages, 8 figures; minor changes in reference
ΠΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅ Π²ΡΠ±ΠΎΡΠ° ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΡΠ»Π»ΠΈΠΏΡΠΎΠΈΠ΄Π°Π»ΡΠ½ΡΡ ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠΎΠ² Π±ΠΈΠΎΠΌΠ΅Π΄ΠΈΡΠΈΠ½ΡΠΊΠΈΡ ΡΠΎΡΠΎΠΌΠ΅ΡΡΠΎΠ²
Biomedical photometersΚΌ information-measuring systems with ellipsoidal reflectors have acceptable results in determining of biological tissues optical properties in the visible and near-infrared spectral range. These photometers make it possible to study the optical radiation propagation in turbid media for direct and inverse problems of light-scattering optics. The purpose of this work is to study the influence of the ellipsoidal reflectors design parameters on the results of biomedical photometry when simulating the optical radiation propagation in a system of biological tissue and reflectors in transmitted and reflected light.The paper substantiates the choice of the ellipsoidal reflectorsβ focal parameter for efficient registration of forward and backscattered light. The methodology of the process is illustrated by the results of a model experiment using the Monte Carlo simulation for samples of human brain white and gray matter at the visible range of 405 nm, 532 nm, and 650 nm. The total transmittance, diffuse reflectance, and absorption graphs depending on the sample thickness were obtained. Based on the introduced concepts of the ellipsoidal reflector efficiency index and its efficiency factor, the expediency of choosing the ellipsoidal reflectors focal parameter is analyzed to ensure the registration of the maximum amount of scattered light. The graphs of efficiency index in reflected and transmitted light for different thickness samples of white and gray matter and efficiency factors depending on the sample thickness were obtained.The influence of the reflectors ellipticity on the illuminance of various zones of photometric images using the example of an absorbing biological medium β pig liver tissue β at wavelength of 405 nm with a Monte Carlo simulation was analyzed.The optical properties of biological media (scattering and absorption coefficients, scattering anisotropy factor, refractive index) and the samplesβ geometric dimensions, particularly the thickness, are predetermined when choosing the ellipsoidal reflectors parameters for registration of the scattered light. Coordinates of the output of photons and their statistical weight obtained in the Monte Carlo simulation of light propagation in biological tissue have a physical effect on a characteristic scattering spot formation in the receiving plane of a biomedical photometer with ellipsoidal reflectors.ΠΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΠΎ-ΠΈΠ·ΠΌΠ΅ΡΠΈΡΠ΅Π»ΡΠ½ΡΠ΅ ΡΠΈΡΡΠ΅ΠΌΡ Π±ΠΈΠΎΠΌΠ΅Π΄ΠΈΡΠΈΠ½ΡΠΊΠΈΡ
ΡΠΎΡΠΎΠΌΠ΅ΡΡΠΎΠ² Ρ ΡΠ»Π»ΠΈΠΏΡΠΎΠΈΠ΄Π°Π»ΡΠ½ΡΠΌΠΈ ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠ°ΠΌΠΈ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ ΠΏΡΠΈΠ΅ΠΌΠ»Π΅ΠΌΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΡΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠΈ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ²ΠΎΠΉΡΡΠ² Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΊΠ°Π½Π΅ΠΉ Π² Π²ΠΈΠ΄ΠΈΠΌΠΎΠΌ ΠΈ Π±Π»ΠΈΠΆΠ½Π΅ΠΌ ΠΈΠ½ΡΡΠ°ΠΊΡΠ°ΡΠ½ΠΎΠΌ ΡΠΏΠ΅ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΌ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π΅. Π’Π°ΠΊΠΈΠ΅ ΡΠΎΡΠΎΠΌΠ΅ΡΡΡ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΡ ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½ΠΈΠ΅ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ Π² ΠΌΡΡΠ½ΡΡ
ΡΡΠ΅Π΄Π°Ρ
ΠΏΡΠΈ ΠΏΡΡΠΌΠΎΠΉ ΠΈ ΠΈΠ½Π²Π΅ΡΡΠ½ΠΎΠΉ Π·Π°Π΄Π°ΡΠ°Ρ
ΠΎΠΏΡΠΈΠΊΠΈ ΡΠ²Π΅ΡΠΎΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ. Π¦Π΅Π»ΡΡ Π΄Π°Π½Π½ΠΎΠΉ ΡΠ°Π±ΠΎΡΡ ΡΠ²Π»ΡΠ»ΠΎΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π²Π»ΠΈΡΠ½ΠΈΡ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΡΠ»Π»ΠΈΠΏΡΠΎΠΈΠ΄Π°Π»ΡΠ½ΡΡ
ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠΎΠ² Π½Π° ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ Π±ΠΈΠΎΠΌΠ΅Π΄ΠΈΡΠΈΠ½ΡΠΊΠΎΠΉ ΡΠΎΡΠΎΠΌΠ΅ΡΡΠΈΠΈ ΠΏΡΠΈ ΡΠΈΠΌΡΠ»ΡΡΠΈΠΈ ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½ΠΈΡ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅ Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΊΠ°Π½ΠΈ ΠΈ ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠΎΠ².Π ΡΠ°Π±ΠΎΡΠ΅ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ Π²ΡΠ±ΠΎΡ ΡΠΎΠΊΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° ΡΠ»Π»ΠΈΠΏΡΠΎΠΈΠ΄Π°Π»ΡΠ½ΡΡ
ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠΎΠ² Π΄Π»Ρ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΠΉ ΡΠ΅Π³ΠΈΡΡΡΠ°ΡΠΈΠΈ ΡΠ°ΡΡΠ΅ΡΠ½Π½ΠΎΠ³ΠΎ Π²ΠΏΠ΅ΡΡΠ΄ ΠΈ Π½Π°Π·Π°Π΄ ΡΠ²Π΅ΡΠ°. ΠΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΠΏΡΠΎΡΠ΅ΡΡΠ° ΠΏΡΠΎΠΈΠ»Π»ΡΡΡΡΠΈΡΠΎΠ²Π°Π½Π° ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ°ΠΌΠΈ ΠΌΠΎΠ΄Π΅Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ° ΠΏΡΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠΈ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΠΎΠ½ΡΠ΅-ΠΠ°ΡΠ»ΠΎ Π΄Π»Ρ ΠΎΠ±ΡΠ°Π·ΡΠΎΠ² Π±Π΅Π»ΠΎΠ³ΠΎ ΠΈ ΡΠ΅ΡΠΎΠ³ΠΎ Π²Π΅ΡΠ΅ΡΡΠ²Π° ΠΌΠΎΠ·Π³Π° ΡΠ΅Π»ΠΎΠ²Π΅ΠΊΠ° Π½Π° Π΄Π»ΠΈΠ½Π°Ρ
Π²ΠΎΠ»Π½ Π²ΠΈΠ΄ΠΈΠΌΠΎΠ³ΠΎ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π° 405 Π½ΠΌ, 532 Π½ΠΌ ΠΈ 650 Π½ΠΌ. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π³ΡΠ°ΡΠΈΠΊΠΈ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΏΠΎΠ»Π½ΠΎΠ³ΠΎ ΠΏΡΠΎΠΏΡΡΠΊΠ°Π½ΠΈΡ, Π΄ΠΈΡΡΡΠ·Π½ΠΎΠ³ΠΎ ΠΎΡΡΠ°ΠΆΠ΅Π½ΠΈΡ ΠΈ ΠΏΠΎΠ³Π»ΠΎΡΠ΅Π½ΠΈΡ Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠΎΠ»ΡΠΈΠ½Ρ ΠΈΡΡΠ»Π΅Π΄ΡΠ΅ΠΌΠΎΠ³ΠΎ ΠΎΠ±ΡΠ°Π·ΡΠ°. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ Π²Π²Π΅Π΄ΡΠ½Π½ΡΡ
ΠΏΠΎΠ½ΡΡΠΈΠΉ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Ρ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΈ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠ° ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΠΏΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π° ΡΠ΅Π»Π΅ΡΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎΡΡΡ Π²ΡΠ±ΠΎΡΠ° ΡΠΎΠΊΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° ΡΠ»Π»ΠΈΠΏΡΠΎΠΈΠ΄Π°Π»ΡΠ½ΡΡ
ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠΎΠ² Π΄Π»Ρ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΡ ΡΠ΅Π³ΠΈΡΡΡΠ°ΡΠΈΠΈ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²Π° ΡΠ°ΡΡΠ΅ΡΠ½Π½ΠΎΠ³ΠΎ ΡΠ²Π΅ΡΠ°. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π³ΡΠ°ΡΠΈΠΊΠΈ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Π΅ΠΉ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ Π² ΠΎΡΡΠ°ΠΆΡΠ½Π½ΠΎΠΌ ΠΈ ΠΏΡΠΎΡΠ΅Π΄ΡΠ΅ΠΌ ΡΠ²Π΅ΡΠ΅ Π΄Π»Ρ ΡΠ°Π·Π½ΠΎΡΠΎΠ»ΡΠΈΠ½Π½ΡΡ
ΠΎΠ±ΡΠ°Π·ΡΠΎΠ² Π±Π΅Π»ΠΎΠ³ΠΎ ΠΈ ΡΠ΅ΡΠΎΠ³ΠΎ Π²Π΅ΡΠ΅ΡΡΠ², Π° ΡΠ°ΠΊΠΆΠ΅ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠΎΠ² ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠΎΠ»ΡΠΈΠ½Ρ ΠΎΠ±ΡΠ°Π·ΡΠ°. ΠΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½ΠΎ Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ»Π»ΠΈΠΏΡΠΈΡΠ½ΠΎΡΡΠΈ ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠΎΠ² Π½Π° ΠΎΡΠ²Π΅ΡΡΠ½Π½ΠΎΡΡΡ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
Π·ΠΎΠ½ ΡΠΎΡΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠΉ Π½Π° ΠΏΡΠΈΠΌΠ΅ΡΠ΅ ΠΏΠΎΠ³Π»ΠΎΡΠ°ΡΡΠ΅ΠΉ Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡΠ΅Π΄Ρ β ΡΠΊΠ°Π½ΠΈ ΠΏΠ΅ΡΠ΅Π½ΠΈ ΡΠ²ΠΈΠ½ΡΠΈ β Π½Π° Π΄Π»ΠΈΠ½Π΅ Π²ΠΎΠ»Π½Ρ 405 Π½ΠΌ ΠΏΡΠΈ ΡΠΈΠΌΡΠ»ΡΡΠΈΠΈ ΠΠΎΠ½ΡΠ΅-ΠΠ°ΡΠ»ΠΎ.ΠΠΏΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ²ΠΎΠΉΡΡΠ²Π° Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ΅Π΄ (ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΡ ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ ΠΈ ΠΏΠΎΠ³Π»ΠΎΡΠ΅Π½ΠΈΡ, ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½Ρ Π°Π½ΠΈΠ·ΠΎΡΡΠΎΠΏΠΈΠΈ ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ, ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Ρ ΠΏΡΠ΅Π»ΠΎΠΌΠ»Π΅Π½ΠΈΡ) ΠΈ Π³Π΅ΠΎΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ°Π·ΠΌΠ΅ΡΡ ΠΎΠ±ΡΠ°Π·ΡΠΎΠ², Π² ΡΠ°ΡΡΠ½ΠΎΡΡΠΈ ΡΠΎΠ»ΡΠΈΠ½Π°, ΠΏΡΠ΅Π΄ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡ Π²ΡΠ±ΠΎΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΡΠ»Π»ΠΈΠΏΡΠΎΠΈΠ΄Π°Π»ΡΠ½ΡΡ
ΡΠ΅ΡΠ»Π΅ΠΊΡΠΎΡΠΎΠ² Π΄Π»Ρ ΡΠ΅Π³ΠΈΡΡΡΠ°ΡΠΈΠΈ ΡΠ°ΡΡΠ΅ΡΠ½Π½ΠΎΠ³ΠΎ ΡΠ²Π΅ΡΠ°. ΠΠΎΠΎΡΠ΄ΠΈΠ½Π°ΡΡ Π²ΡΡ
ΠΎΠ΄Π° ΡΠΎΡΠΎΠ½ΠΎΠ² ΠΈ ΠΈΡ
ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ Π²Π΅Ρ, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΠΏΡΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½ΠΈΡ ΡΠ²Π΅ΡΠ° Π² Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΊΠ°Π½ΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΠΎΠ½ΡΠ΅-ΠΠ°ΡΠ»ΠΎ, ΠΎΠΊΠ°Π·ΡΠ²Π°ΡΡ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΎΠ΅ Π²Π»ΠΈΡΠ½ΠΈΠ΅ Π½Π° ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠ½ΠΎΠ³ΠΎ ΠΏΡΡΠ½Π° ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ Π² ΠΏΡΠΈΡΠΌΠ½ΠΎΠΉ ΠΏΠ»ΠΎΡΠΊΠΎΡΡΠΈ Π±ΠΈΠΎΠΌΠ΅Π΄ΠΈΡΠΈΠ½ΡΠΊΠΎΠ³ΠΎ ΡΠΎΡΠΎΠΌΠ΅ΡΡΠ°
Measuring the thickness of thin liquid films on solid surfaces using the laser-induced thermocapillary response
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