Experiments on cross-polarization scattering in the upper hybrid resonance region

In experiments on the FT-1 tokamak, the effect is observed of the cross-polarization scattering of microwave radiation by low-frequency plasma microturbulence in the upper hybrid resonance region. The radar diagnostics based on this effect was used to measure the frequencies and wavenumbers of the fluctuations that cause cross-polarization scattering.     

Small-angle scattering of an extraordinary wave near the upper hybrid resonance

The small-angle scattering of an extraordinary wave by plasma density fluctuations near the upper hybrid resonance is analyzed. It is shown that the efficiency of the small-angle scattering increases markedly as the upper hybrid resonance is approached. The power lost by the probing wave is calculated as a function of distance from the upper hybrid resonance, the parameters of the wavenumber spectrum of density fluctuations, and plasma parameters. The estimates obtained indicate that small-angle scattering, first, may have a strong impact on the experimental results obtained from the enhanced-scattering diagnostic and, second, may be the main cause of the broadening of the frequency spectrum of a signal recorded by this diagnostic technique.     

Evolution of the frequency spectrum of an extraordinary wave near the upper hybrid resonance in a turbulent plasma

A study is made of the formation of the frequency spectrum of an extraordinary wave during its multiple small-angle scatterings along the path to the upper hybrid resonance, in the upper hybrid resonance region, and behind the conversion point. The formation of the spectrum is investigated both approximately (by the eikonal method) and exactly (in the limit of large-scale plasma density fluctuations responsible for small-angle scattering). It is demonstrated that these two approaches yield the same results in the common range of their applicability. It is shown that, in the vicinity of the upper hybrid resonance, the broadening of the frequency spectrum of a probing wave is proportional to its wavenumber. This circumstance and the predicted amount by which the spectrum broadens make it possible to consider small-angle scattering as one of the main effects responsible for a very large spectrum broadening observed in experiments.     

Spectra of enhanced scattering by spontaneous density fluctuations in a tokamak

The wavenumber-resolved radar backscattering diagnostics in the upper hybrid resonance (UHR) region was used to study low-frequency short-scale turbulence in the FT-1 tokamak. The scattered spectra were measured for different delay times of the scattered signals. It is shown that the width of the spectrum of enhanced scattering by spontaneous fluctuations is proportional to the delay time. Possible mechanisms for the formation of the scattered spectra are proposed and discussed. The results of simulations and additional experiments were used to determine the dominant mechanisms governing the formation of the scattered spectra in the FT-1 tokamak. These mechanisms are related to the effect of multiple small-angle scattering of both the probing wave and the waves backscattered in the UHR region by long-scale density fluctuations and to the Doppler effect caused by the entrainment of short-scale fluctuations by the long-scale turbulent flow.     

Microwave enhanced-scattering correlation diagnostics of a turbulent plasma

A study is made of the influence of large-scale plasma turbulence on the results from a diagnostic method that is based on enhanced scattering of microwaves near the upper hybrid resonance and is highly sensitive to small-scale fluctuations. The resolution in radial wavenumbers that is provided by an enhanced-scattering correlation analysis of small-scale fluctuations with allowance for multiple small-angle scatterings of the probing and scattered waves along their paths is determined. The frequency spectrum of a wave that is backscattered by the small-scale fluctuations involved in large-scale turbulent motion and undergoes multiple smallangle scatterings is analyzed.     

Longitudinal fluctuations in a nonuniform collisional plasma with nonequilibrium particle distributions

The amplitudes of high-frequency longitudinal fluctuations excited by a nonequilibrium source in a nonuniform plasma are calculated. The results obtained are applicable to arbitrary nonequilibrium distributions of plasma particles in the absence of parametric instabilities. The spectra of probing waves scattered by fluctuations in a linear ionospheric plasma layer under conditions typical of experiments on incoherent radio wave scattering are found. The effects of electron-ion collisions and electron temperature anisotropy on the scattering intensity are demonstrated.     

Effect of various physical factors on oscillations of light-dispersion in water and aqueous biopolymer solutions

Study of the dependence of light scattering fluctuation on temperature, mechanic perturbation and magnetic field in water and water hemoglobin and DNA solution has shown that an increase in temperature results in the decline of long-term fluctuation amplitude and in the increase of short-term fluctuation amplitude. Mechanical mixing removes long-term fluctuations and over 10 hours are spent for their recovery. Regular fluctuations appear when the constant magnetic field above 240 A/m is applied; the fluctuations are retained for many hours after the removal of the field (when the field is off). It was supposed that maintenance of long-range correlation of molecular rotation-translation fluctuation by the effect of long-range forces and external fields underlies the mechanism of long-term light scattering fluctuations.     

Incoherent Scattering of Electromagnetic Waves by Langmuir Fluctuations Trapped in a Plasma Density Well

Incoherent scattering of a probing wave by Langmuir fluctuations trapped and enhanced near a local minimum of the electron density (plasma density well) in plasma with a parabolic density profile is considered. Steady-state amplitudes of fluctuations are calculated for arbitrary velocity distribution functions of plasma particles with allowance for electron collisions. It is shown that quasi-periodic oscillations with two characteristic scales can be present in the spectrum of the plasma line. The smaller scale is due to the wellknown effect of discretization of the spectrum of Langmuir fluctuations in a plasma density well. The larger scale is associated with the generation of scattered waves in two spatial regions and subsequent interference of these waves at the exit from the density well. Oscillations with this scale are more stable under unsteady plasma conditions and can be more often observed in experiments. The results of this work can be used to experimentally determine the plasma parameters, such as the electron collision frequency and the size and lifetime of the plasma density well.     

Light scattering spectroscopy of the squid axon membrane

Light scattering studies on the giant squid axon were done using the technique of optical mixing spectroscopy. This experimental approach is based on the use of laser light to detect the fluctuations of membrane macromolecules which are associated with conductance fluctuations. The light scattering spectra were similar to the Lorentzian-like behavior of conductance fluctuations, possibly reflecting an underlying conformational change in the specific membrane sites responsible for the potassium ion conductance. The amplitude of the spectra measured, increased when the membrane was depolarized and decreased on hyperpolarization. The spectra were fit to the sum of two terms, a (1/fcomponent and a simple Lorentzian term. Spectra from deteriorating axons did not show sensitivity to membrane potential changes. It is shown theoretically that fluctuations due to the voltage-dependent variable, n, of the Hodgkin-Huxley formalism are identical to the voltage fluctuations. The derived power spectrum is that of a second order system, capable of showing resonance peaking only if the voltage dependence of the potassium rate constants is included in the analysis. The lack of resonance peaking in the observed light scattering spectra, indicates that the data are best described by a damped second order system.     

Recovery of the characteristics of plasma turbulence from the radial correlation backscattering diagnostics

Signals of the backscattering radial correlation Doppler diagnostics of plasma density fluctuations in the presence of the cutoff of the probing wave are analyzed theoretically with allowance for the curvature of magnetic surfaces. The scattering of the probing electromagnetic wave is considered in the linear (Born) approximation with respect to the amplitude of fluctuations. Using the Wentzel?Kramers?Brillouin approach, analytical expressions for the scattered signal and the correlation function of two scattered signals corresponding to oblique probing at different frequencies are derived. A criterion is obtained for the tilt angle of the antenna pattern at which the two-point turbulence correlation function can be measured directly. A method is proposed to recover the spectrum of plasma density fluctuations from the data on the radial wavenumbers even if this criterion is violated.     

Quasielastic light scattering by biopolymers. VI. Diffusion of mononucleosomes and oligonucleosomes in the presence of static and sinusoidal electric fields

Quasielastic light scattering and electrophoretic light scattering studies were carried out on mononucleosome and oligonucleosome systems. The electrophoretic light scattering experiments employed static and sinusoidal electric fields. Data are presented that suggest at least two relaxation modes. It is proposed that the small amplitude sinusoidal field effectively polarizes the ion atmosphere about the polyion, thus leading to an induced dipole moment that varies sinusoidally in time. This model is, in essence, an extension of the current interpretation of low-frequency dielectric dispersion data on DNA as being due to fluctuations of counterions along the polyion.     

Study of the linear conversion of lower hybrid waves in the FT-1 tokamak by the enhanced time-of-flight scattering technique

The propagation of lower hybrid (LH) waves in a tokamak plasma in the presence of an LH resonance surface is studied experimentally with the use of a specially elaborated technique based on the backscattering of the probing microwave radiation in the upper hybrid resonance region. The technique provides resolution in the wave vectors of the scattering density fluctuations. The conditions are determined under which the LH wave propagates in accordance with the predictions of linear theory and is converted into the short-wave-length ion Bernstein mode. The parameter range is found in which the predictions of linear theory fail to hold and the nonlinear effects come into play during LH wave conversion. The radial wavelengths of the LH and ion Bernstein waves are determined.     

Some properties of the angular power distribution of electromagnetic waves multiply scattered in a collisional magnetized turbulent plasma

A study is made of oblique incidence of a small-amplitude plane electromagnetic wave on a semi-infinite slab of a collisional turbulent plasma in an external uniform magnetic field. In the small-angle scattering approximation, the condition for neutralizing the effects of oblique incidence and plasma anisotropy on the statistical properties of radiation multiply scattered in the absorbing plasma medium is determined by using the methods of geometrical optics. The validity of this condition was confirmed by numerical calculations based on the statistical modeling technique. The effect of the shape of the spectrum of the electron density fluctuations on the shape of the angular power distribution of a multiply scattered radiation is investigated.     

Scattering of polarized radio waves by Langmuir turbulence in a plasma in a magnetic field

A study is made of radio-wave scattering by Langmuir turbulent pulsations in a plasma in a magnetic field. The effect of this process on the polarization of radio waves at frequencies far above or close to the electron plasma frequency is investigated. The wave scattering by Langmuir turbulence is shown to strongly affect the polarization characteristics. When the optical thickness typical of the scattering process is on the order of unity, the degree of wave polarization can change by 30% both at high frequencies and at frequencies close to the plasma frequency, in which case the circular polarization can reverse direction. It is shown that, as a result of wave scattering by Langmuir turbulence, the degree of circular polarization of radio waves depends on the wavelength even in a uniform magnetic field.     

Stochastic electron acceleration in plasma waves driven by a high-power subpicosecond laser pulse

The mechanism of stochastic electron acceleration and heating by a picosecond laser pulse in underdense plasma is studied using particle-in-cell simulations and theoretical models. The formation of wide electron energy spectra in the simultaneously acting laser and plasma fields is analyzed. It is shown that electron scattering by turbulent plasma fluctuations excited through stimulated forward Raman scattering plays a governing role in the formation of high-energy tails in the electron distribution function.     

Second harmonic of gyrotron radiation: New potentialities of plasma diagnostics

It is shown that the relative intensity of the second harmonic of gyrotron radiation on the axis of a microwave beam after quasi-optical filtering in a four-mirror quasi-optical transmission line is about ?50 dB of the total radiation intensity. The second-harmonic radiation is used in collective-scattering diagnostics of turbulent density fluctuations in the plasma column of the L-2M stellarator. At an electron temperature of 0.8–1.0 keV and average plasma density of 2.0–2.5×10¹³ cm^?3 (a plasma energy of about 0.6 kJ), which was achieved after the boronization of the vacuum chamber, spatiotemporal structures in plasma density fluctuations were observed in the central region of the plasma column. The correlation time between the structures was found to be on the order of 1 ms. It is shown that the spectrum of the signal from the second-harmonic scattering extends to higher frequencies compared to that from the fundamental-harmonic scattering.     

Metalens Focusing the Co-/cross-polarized Lights in Longitudinal Direction

Recently, metasurface has attracted lots of attentions because of its great capability in phase engineering for the transmitted cross-polarization light, and many functional optical elements have been designed and investigated. Commonly, the co-polarization and cross-polarization lights will coexist in the transmitted fields. Here, we propose a planar metalens composed of L-shaped nanoholes, which can focus an incident plane wave to two different focal spots in longitudinal direction for the co-polarized and cross-polarized transmitted lights respectively. In our design, the focal length of the transmitted cross-polarized lights can be tuned easily according to Fermat principle. Meanwhile, the focal length of the co-polarized transmitted lights can also be modulated by the ring number of the designed metalens. Because of the polarization-independent characteristic of the L-shaped nanoantenna, the designed planar metalens can also be suitable for both linear and circular polarized incident lights.     

Toroidal inhomogeneity of plasma density fluctuations during ECR plasma heating in the L-2M stellarator

Correlation between short-wavelength (k_⊥ ≈ 20–30 cm^–1) and long-wavelength (k_⊥ ≈ 1–2 cm^–1) plasma density fluctuations in two poloidal cross sections of the stellarator chamber separated by 1/14 or 5/14 of the torus perimeter was studied using collective scattering of radiation of two 75-GHz gyrotrons and radiation of a 37-GHz Doppler reflectometer at an ECR heating power density of 1.6–3.2 MW/m³. It is found that excitation of turbulent fluctuations is bursty in character and that fluctuations excited in different L-2M cross sections are uncorrelated. It is shown that the energy of turbulent fluctuations is modulated by a low frequency of 5–20 kHz. An idea is put forward that anomalous transport is toroidally inhomogeneous.     

Dynamic light scattering microscopy. A novel optical technique to image submicroscopic motions. I: theory

The theoretical basis of an optical microscope technique to image dynamically scattered light fluctuation decay rates (dynamic light scattering microscopy) is developed. It is shown that relative motions between scattering centers even smaller than the optical resolution of the microscope are sufficient to produce significant phase variations resulting in interference intensity fluctuations in the image plane. The timescale and time dependence for the temporal autocorrelation function of these intensity fluctuations is derived. The spatial correlation distance, which reports the average distance between constructive and destructive interference in the image plane, is calculated and compared with the pixel size, and the distance dependence of the spatial correlation function is derived. The accompanying article in this issue describes an experimental implementation of dynamic light scattering microscopy.     

Spectra from stimulated Raman scattering of short relativistically strong laser pulses in an underdense plasma

A set of equations describing large-angle stimulated Raman scattering (SRS) of a short, relativistically strong laser pulse propagating in an underdense plasma is derived and investigated numerically. It is shown that the SRS spectrum depends strongly on the pulse shape. If a pulse with a sharp leading edge excites a strongly nonlinear wake wave, the scattering occurs in relativistic electron flows and is accompanied by the Doppler frequency shift. When the electron flow is directed oppositely to the pulse propagation direction, the frequency upshift is maximum for the direct-backward SRS and decreases with decreasing scattering angle.