Radiation reflection from inhomogeneities moving in a medium with a plasma dispersion law

The dependence of the complex frequency of radiation reflected from an inhomogeneity moving in a medium on the frequency of the incident radiation is found for inhomogeneous wave regimes. Explicit expressions for the plasma dispersion law of the medium are presented. The complex Doppler effect, where one (real) frequency of the incident radiation corresponds to two complex frequencies of the reflected radiation, is demonstrated.     

Transformation of radiation upon its interaction with overtaking inhomogeneity in a medium with dispersion

The parametric Doppler effect is analyzed and simulated numerically in the case in which a wave or a pulse of optical radiation interacts with an inhomogeneity overtaking it in a medium with frequency dispersion. It is shown that, as the velocity of the inhomogeneity motion approaches the speed of light in vacuum, the frequency of the transformed radiation increases unboundedly but the efficiency of the transform decreases up to the zero value.     

Transformation of electromagnetic radiation by rapidly moving inhomogeneities of a transparent medium

A theory of reflection and transmission of electromagnetic radiation by inhomogeneities of the parameters of a static transparent medium moving at the velocity of light is developed. Expressions are obtained for the Doppler frequency shift of radiation; it turns out that, under the condition of pronounced frequency dispersion, the frequency of incident radiation corresponds to two frequencies of reflected radiation (complementary waves). It is found that, as the velocity of an inhomogeneity tends to the phase velocity of radiation in the medium, the reflection and transmission coefficients of radiation by the inhomogeneity indefinitely increase. It is shown that the electromagnetic radiation frequency may increase severalfold, with a transformation coefficient of about unity, due to the Doppler shift by the inhomogeneities of a nonlinear medium that are induced by pulses (solitons) of intense counterpropagating radiation.     

Composite medium with simultaneously negative permeability and permittivity

We demonstrate a composite medium, based on a periodic array of interspaced conducting nonmagnetic split ring resonators and continuous wires, that exhibits a frequency region in the microwave regime with simultaneously negative values of effective permeability &mgr;(eff)(omega) and permittivity varepsilon(eff)(omega). This structure forms a "left-handed" medium, for which it has been predicted that such phenomena as the Doppler effect, Cherenkov radiation, and even Snell's law are inverted. It is now possible through microwave experiments to test for these effects using this new metamaterial.     

Superluminal parametric Doppler effect in insulators and in an electron-positron vacuum

It has been shown that counterpropagating electromagnetic waves with different frequencies generate two lattices in a cubically nonlinear medium, one of which moves at a superluminal velocity. When weak radiation reflects from the superluminal lattice, the wavefront is quasi-conjugated with distortions owing to the Doppler frequency shift. These effects occur both in insulators with fast nonlinearity and in an electron-positron vacuum.     

Planar near-field acoustical holography in a moving medium

Near-field acoustical holography (NAH) is a well-established method to study acoustic radiation near a stationary sound source in a homogeneous, stationary medium. However, the current theory of NAH is not applicable to moving sound sources, such as automobiles and trains. In this paper, the inclusion of a moving medium (i.e., moving source and receiver) is introduced in the wave equation and a new set of equations for plannar NAH is developed. Equations are developed for the acoustic pressure, particle velocity, and intensity when mean flow is either parallel or perpendicular to the hologram plane. If the source and the measurement plane are moving at the same speed, the frequency Doppler effect is absent, but a wave number Doppler effect exists. This leads to errors when reconstructing the acoustic field both towards and away from the source using static NAH. To investigate these errors, a point source is studied analytically using planar NAH with flow in one direction. The effect of the medium moving parallel to the hologram plane is noted by a shift of the radiation circle in wave number space (k-space). A k-space Green's function and a k-space filter are developed that include the effects of the moving medium.     

High-power laser-driven source of ultra-short X-ray and gamma-ray pulses

A novel ultra-bright high-intensity source of X-ray and gamma radiation is suggested. It is based on the double Doppler effect, where a relativistic flying mirror reflects a counter-propagating electromagnetic radiation causing its frequency multiplication and intensification, and on the inverse double Doppler effect, where the mirror acquires energy from an ultra-intense co-propagating electromagnetic wave. The role of the flying mirror is played by a high-density thin plasma slab accelerating in the radiation pressure dominant regime. Frequencies of high harmonics generated at the flying mirror by a relativistically strong counter-propagating radiation udergo multiplication with the same factor as the fundamental frequency of the reflected radiation, approximately equal to the quadruple of the square of the mirror Lorentz factor.     

Complex resonance and complex-frequency spectroscopy

The response of a medium to radiation with a complex frequency corresponding to an exponential time decrease in the radiation amplitude has been analyzed. The effect of complex resonance has been demonstrated when the real and imaginary parts of the complex radiation frequency approach the real and imaginary parts of the complex frequency of damping natural oscillations of medium oscillators. In resonance itself, the absolute value of the refractive index is divergent and radiation is completely reflected from the medium boundary. It has been shown that scanning of not only the real part, but also the imaginary part of the probe radiation frequency expands the capabilities of spectroscopy and makes it possible to, e.g., distinguish resonances even with coinciding (real) frequencies and close (of the same order of magnitude) widths.     

Optical Detection of Motion of an Object with a Refractive Index Coinciding with the Refractive Index of the Surroundings

Estimates of characteristics of light reflection from an object moving with a constant velocity in a medium whose refractive index coincides with the refractive index of the object are presented. The back-reflected radiation has a frequency shift owing to the Doppler effect, and the reflectivity turns out to be a quantity of the first order in the ratio of the velocity of motion to the velocity of light in a vacuum. If the velocity of motion of the surroundings near the object boundary varies in a boundary layer of a width that appreciably exceeds the wavelength, the reflectivity falls off exponentially with the ratio of these quantities. The estimates performed testify that the possibility of observing the effect of relativistic reflection under consideration is quite realistic.     

On the gain of gas lasers

A general expression for the gain of the active medium of a gas laser is obtained within the framework of the probability method. Allowance is made for the Doppler frequency shift, natural and collision broadening, and stimulated radiation. Special cases are considered.     

超声波多普勒实验仪

基于多普勒效应原理,分别测得波源的频率和发生相对运动时观测到的频率即可分析出物体相对运动的速度.实验仪以单片机为测控系统核心实现超声波多普勒效应演示实验及速度测量并提供了具体的设计方案与实验结果.同时单片机赋予了仪器以软件为核心的技术特点,具有重塑性与可扩展性.     

Radiation reflection from an optical inhomogeneity moving in a right- and left-handed medium

The parametric Doppler effect in a medium whose dielectric permittivity and magnetic permeability become negative in some spectral range is analyzed with respect to uniform plane waves. The regime in which the medium is right-handed (the refractive index is positive) for incident radiation and left-handed (the refractive index is negative) for reflected wave is demonstrated. The possibility of the occurrence of additional branches in the dispersion dependences is demonstrated.     

The parametric Doppler effect in quartz glass

Transformation of frequency is analyzed under the parametric Doppler effect in quartz glass in the “optic collider” scheme. In this scheme, intense laser radiation induces moving inhomogeneities of the refractive index in the glass and the probe radiation undergoes the Doppler frequency shift when being reflected from them. The possibilities of transforming the frequency both within the main transparent region and from the main transparent region to the low- and high-frequency regions separated from the main region by absorption peaks in the infrared and ultraviolet spectral ranges are demonstrated.     

Relativistic Doppler effect in light clocks construed as a result of prior acceleration

During a transverse acceleration of a light clock from rest, the mirrors must be tilted so as to retain the light pulse. The mirrors therefore have a normal velocity which increases the frequency of the pulse at each reflection. If a mirror is annihilated, the frequency of the escaping pulse, as a result of many reflections, is that of the relativistic Doppler effect. This holds for any acceleration, if the Fitzgerald contraction is assumed, thereby furnishing a new mechanism for such frequencies. The traditional mechanism, in which the source (subject to the time dilation) generates a pulse modulated by the source motion, is therefore not a unique explanation of the Doppler effect. The new mechanism permits the speculation that radiation preexists in atomic sources, rather than being generated at the instant of release.     

Cherenkov radiation by the charged particle moving in moving Hermitian medium

Detailed theoretical investigation and computer calculations on the Cherenkov radiation (CR) in moving Hermitian medium (CRMH) are presented in this paper. It has been found that, similar to that in stationary Hermitian medium (CRH) case, there are two modes in the CRMH; in general, only one of them is radiative mode, another one is local field, and the comparison of the two modes is given in the paper. The small absorption of CRMH mainly results in the Gaussian-like field intensity pattern. And the group velocity in the CRMH is always slower than the phase velocity in the moving HM, so the fine inner structure occurs. Comparing the behaviors of CRMH and CRH, we have found that the movement of the Hermitian medium (HM) brings significant influences on the CR, so there are some interesting characteristics of CRMH, such as in the CRMH; the radiation power of the “o” mode is much higher than that of “e” mode. And because of the relativistic Doppler effect, the frequency region where both modes are radiative becomes quite different from that for CRH.     

Doppler-free resonances of the second-order raman scattering

The possibility of the observation of Raman scattering resonances completely free from the influence of the Doppler effect has been examined for the first time. The phenomenon is based on the excitation of a Raman oscillation standing wave in a gas by two standing light waves, whose frequency difference is equal to half the Raman frequency. The complete compensation of Doppler shifts results from the simultaneous interactions between atomic particles and two pairs of counter-propagating waves. Doppler-free resonances of the second-order Raman light scattering appear in the number of particles excited to the upper Raman level and in the radiation at the Stokes and anti-Stokes frequencies. The amplitude estimate for the resonance in the number of particles is given for the example of neon.     

Emission accompanying superluminal motion of light

Conclusion We hope that we have succeeded in demonstrating the great scientific interest that attaches to superluminal motions of charges and to investigation of the radiation accompanying these motions. An extensive literature on superluminal motion is on hand even now. It deals, however, mainly with radiation in rectilinear motion, i.e., phenomena connected with the Vavilov-Cherenkov effect, the anomalous Doppler effect, ect. In the present note, on the other hand, principal attention is paid to the influence of the breakup of radiation of a single real source on the emission of several images visible by an immobile observer, which can take place for both uniform and nonuniform motion of the charges. From this viewpoint, new light is cast also on the anomalous Doppler effect. Breakup of one source into several images has been observed in all the considered examples.There is no doubt that the effect of several images can be observed in experiments, and possibly even used in practical electronics. From the viewpoint of observing the effect, most attention should be paid, in our opinion, to observation of the Vavilov-Cherenkov effect in a magnetic field (i.e., on a circular trajectory of a charge) in a medium. We note in this connection that to observe a doubling of a radiation source or vanishing of a pair of images there is no need to observe the entire circular trajectory—it suffices to observe only that part containing the points at which doubling of the source or vanishing of a pair of images takes place.Theoretical Division, Theoretical and Mathematical Physics, Lebedev Physics Institute. Translated from Preprint No. 194, Lebedev Physics Institute of the Academy of Sciences of the USSR, Moscow, 1989.     

Spectral polarization features of the macroscopic manifestation of parity violation in gaseous media

A formalism based on macroscopic Maxwell equations is developed for the case of media with violations of the space symmetry and time reversal. It is demonstrated that the parity violation in a medium is equivalent to the manifestation of spatial dispersion and natural optical activity. The proposed formalism makes it possible to uniquely calculate the macroscopic parameters of equations in terms of the microscopic theory. The parameters of gyrotropy and dichroism of a gaseous medium are determined within a model describing an interaction of resonance radiation with transitions to states that have different parities and are mixed by a weak interaction of an electron with the nucleus of the atom. It is established that, in the range of the resonance with a magnetic dipole transition, the effect of parity violation is enhanced as a result of the considerable difference between the natural broadenings of the electric and magnetic dipole transitions. This enhancement is suppressed when the dominant Doppler broadening of the atomic transitions is taken into account. It is shown that, owing to the unitarity of the weak interaction, the effects of parity violation are alternating functions of the radiation frequency and are integrally absent in the entire spectrum.     

Emission of a spatially modulated resonant medium excited with superluminal velocity

Specific characteristics of the radiation of a resonant medium excited by an ultrashort light pulse propagating through the medium with a superluminal velocity are considered. The medium is assumed to consist of identical linear harmonic oscillators with a spatial density periodically modulated along the direction of propagation of the superluminal excitation. The field of radiation of the resonant medium under these conditions is calculated. It is shown that, under the superluminal excitation, the radiation spectrum of the medium shows, along with the fundamental frequency of the oscillators, new frequencies that depend on the spatial frequency of the distribution of oscillators and on the angle of observation. Possible application of the effect is discussed.