Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546065
D. Velychko, S. Scherbina
The model of retransmitter measuring system has been proposed in [1], however it does not take into ac-count a number of improvements presented in [2] made in order to linearize the charateristic of the received phase dependence on the distance to the monitored object. Improvements consisted in the modifications of the signal transformation circuit in the retransmitter, as well as in the variation of the informative parameter processing, which the phase incursion of the meter output signal. The goal of the current research is to consider the noted modifica-tions in the retransmittter monitoring measuring system model.
{"title":"The elaboration of the model of the retransmittter monitoring measuring system","authors":"D. Velychko, S. Scherbina","doi":"10.1109/MSMW.2010.5546065","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546065","url":null,"abstract":"The model of retransmitter measuring system has been proposed in [1], however it does not take into ac-count a number of improvements presented in [2] made in order to linearize the charateristic of the received phase dependence on the distance to the monitored object. Improvements consisted in the modifications of the signal transformation circuit in the retransmitter, as well as in the variation of the informative parameter processing, which the phase incursion of the meter output signal. The goal of the current research is to consider the noted modifica-tions in the retransmittter monitoring measuring system model.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121578359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546032
I.S. Scherbatko, Y. Kuleshov
Non-destructing testing of dielectric materials by mm electromagnetic waves has been implemented since reliable sources of microwave power and detectors were developed. However, small defect scatters effectively only when its size is comparable or greater than a wavelength of the testing signal. Significant progress in terahertz and sub-mm techniques development made possible the development of non-destructive testing systems for small defects in dielectric layered structures detection. Up to date a time-domain THz spectroscopy (THz-TDS) has been the most popular method for scanning dielectric layered structures and finding inhomogenities in transparent dielectric layered structures [1,2]. Taking into account that THz-TDS systems are very expensive and measurements with following data processing are time-consuming a new polarization-dependent method for defect detection is considered.
{"title":"Detection of small defects by THz-waves for non-destructive testing in dielectric layered structures","authors":"I.S. Scherbatko, Y. Kuleshov","doi":"10.1109/MSMW.2010.5546032","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546032","url":null,"abstract":"Non-destructing testing of dielectric materials by mm electromagnetic waves has been implemented since reliable sources of microwave power and detectors were developed. However, small defect scatters effectively only when its size is comparable or greater than a wavelength of the testing signal. Significant progress in terahertz and sub-mm techniques development made possible the development of non-destructive testing systems for small defects in dielectric layered structures detection. Up to date a time-domain THz spectroscopy (THz-TDS) has been the most popular method for scanning dielectric layered structures and finding inhomogenities in transparent dielectric layered structures [1,2]. Taking into account that THz-TDS systems are very expensive and measurements with following data processing are time-consuming a new polarization-dependent method for defect detection is considered.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"660 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116097188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546167
I. Fedorin, A. Bulgakov
Let us consider an infinite periodic structure where semiconductor layers of thickness d1 and dielectric layers of thickness d2 alternate. We ignore the collision frequency in the semiconductor layers and losses in dielectric. We introduce a coordinate system such that the x axis is parallel to the boundaries of the layers and z axis is perpendicular to the layers. We will assume that the structure is homogeneous in the x and y directions and put ∂/∂y = 0 , omitting the dependence on the coordinate y in the equations. Let the structure be exposed to an external magnetic field parallel to the y axis (see Fig.1). Then, Maxwell's equations split into independent equations for two modes with different polarization. External magnetic field doesn't affect the properties of H-waves therefore we will consider E-waves with components Ex, Ez, Ey.
{"title":"Electrodynamic properties of a magnetic fine-stratified structures","authors":"I. Fedorin, A. Bulgakov","doi":"10.1109/MSMW.2010.5546167","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546167","url":null,"abstract":"Let us consider an infinite periodic structure where semiconductor layers of thickness d1 and dielectric layers of thickness d2 alternate. We ignore the collision frequency in the semiconductor layers and losses in dielectric. We introduce a coordinate system such that the x axis is parallel to the boundaries of the layers and z axis is perpendicular to the layers. We will assume that the structure is homogeneous in the x and y directions and put ∂/∂y = 0 , omitting the dependence on the coordinate y in the equations. Let the structure be exposed to an external magnetic field parallel to the y axis (see Fig.1). Then, Maxwell's equations split into independent equations for two modes with different polarization. External magnetic field doesn't affect the properties of H-waves therefore we will consider E-waves with components Ex, Ez, Ey.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116099158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546128
N. Sakhnenko, A. Nerukh
A frequency shift of an electromagnetic wave is attracting much interest as it has applications in wavelength demultiplexing systems, switchers and tunable filters. In practice, temporal changing of the material refractive index can be realized by varying an input signal in a nonlinear structure [1]; by voltage control [2]; by a focused laser beam as a local heat source [3] or else by a plasma injection [4].
{"title":"Frequency shift enhancement in linear chain of coupled resonators with time discontinuity in permittivity","authors":"N. Sakhnenko, A. Nerukh","doi":"10.1109/MSMW.2010.5546128","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546128","url":null,"abstract":"A frequency shift of an electromagnetic wave is attracting much interest as it has applications in wavelength demultiplexing systems, switchers and tunable filters. In practice, temporal changing of the material refractive index can be realized by varying an input signal in a nonlinear structure [1]; by voltage control [2]; by a focused laser beam as a local heat source [3] or else by a plasma injection [4].","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"489 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116192972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546204
D. Batrakov, D. Golovin
Tikhonov regularization technique is an effective tool for ill-posed problems solution and the analysis of ill-conditioned linear systems. Efficiency of the regularization technique application for the direct diffraction problem solution on the two-dimensional inclusion located in plane-layered media is considered. Efficiency in this case is understood as improvement of convergence and stability of the final solution. Regularization technique was applied to the first kind linear algebraic equations system which was formed during the solution of diffraction problem by the modified null-field technique. As a result of the performed numerical experiments types of a configuration of scattering structure under analysis have been determined, which provides the maximum effect of application of the regularization technique. In addition, for considered type of problems it have been defined criteria for a prior choice of auxiliary solution for the regularization procedure.
{"title":"Application of tikhonov regularization technique to investigation of the electromagnetic field scattered by inclusion in multilayered media","authors":"D. Batrakov, D. Golovin","doi":"10.1109/MSMW.2010.5546204","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546204","url":null,"abstract":"Tikhonov regularization technique is an effective tool for ill-posed problems solution and the analysis of ill-conditioned linear systems. Efficiency of the regularization technique application for the direct diffraction problem solution on the two-dimensional inclusion located in plane-layered media is considered. Efficiency in this case is understood as improvement of convergence and stability of the final solution. Regularization technique was applied to the first kind linear algebraic equations system which was formed during the solution of diffraction problem by the modified null-field technique. As a result of the performed numerical experiments types of a configuration of scattering structure under analysis have been determined, which provides the maximum effect of application of the regularization technique. In addition, for considered type of problems it have been defined criteria for a prior choice of auxiliary solution for the regularization procedure.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116215828","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5545955
A. V. Strashevskyi, M. Khodzitsky, S. Tarapov
1 Electrodynamical spectra of perovskite based photonic crystal with PBG has been studied experimentally and modelled theoretically. Transmission coefficients of such photonic crystal have been detected experimentally for two different thicknesses of dielectric slab forming the primary element of PC. The frequency shift of pass bands has been detected. 2 Using the experimentally obtained band structure of spectra of photonic crystal, the value of permittivity of manganite-perovskite sample La0.775Sr0.225MnO3 for the 20–40 GHz has been estimated for the case when the permeability tends to unit.
{"title":"Photonic crystals based on manganite-perovskite structure","authors":"A. V. Strashevskyi, M. Khodzitsky, S. Tarapov","doi":"10.1109/MSMW.2010.5545955","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5545955","url":null,"abstract":"1 Electrodynamical spectra of perovskite based photonic crystal with PBG has been studied experimentally and modelled theoretically. Transmission coefficients of such photonic crystal have been detected experimentally for two different thicknesses of dielectric slab forming the primary element of PC. The frequency shift of pass bands has been detected. 2 Using the experimentally obtained band structure of spectra of photonic crystal, the value of permittivity of manganite-perovskite sample La0.775Sr0.225MnO3 for the 20–40 GHz has been estimated for the case when the permeability tends to unit.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123843418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546201
S. Prikolotin, A. Kirilenko
Usually in solving problems of computational electromagnetics the two ways can be utilized: developing of dedicated (the most optimal method to solve a specific problem) or global computational algorithms (one universal method to solve the wide class of problems). The advantages of the first way are speed and accuracy of algorithm, while the virtue of second way naturally follows from its name. Recently observed the tendency of using so called hybrid approach that combines advantages of the both directions. The ground of hybrid approach consists in developing such special-purpose methods which make it possible to calculate quickly and accurately the whole class of units which are characterized by the set of some common attributes. These specialized methods include the mode-matching technique taking into account the peculiarities of the electromagnetic field near the edges. Generalization of this technique to arbitrary waveguide objects with coordinate boundaries is presented in this paper.
{"title":"Numerical model for calculating eigen-mode spectrum of complicated cross-section waveguides","authors":"S. Prikolotin, A. Kirilenko","doi":"10.1109/MSMW.2010.5546201","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546201","url":null,"abstract":"Usually in solving problems of computational electromagnetics the two ways can be utilized: developing of dedicated (the most optimal method to solve a specific problem) or global computational algorithms (one universal method to solve the wide class of problems). The advantages of the first way are speed and accuracy of algorithm, while the virtue of second way naturally follows from its name. Recently observed the tendency of using so called hybrid approach that combines advantages of the both directions. The ground of hybrid approach consists in developing such special-purpose methods which make it possible to calculate quickly and accurately the whole class of units which are characterized by the set of some common attributes. These specialized methods include the mode-matching technique taking into account the peculiarities of the electromagnetic field near the edges. Generalization of this technique to arbitrary waveguide objects with coordinate boundaries is presented in this paper.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"68 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113943438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546042
S. Dyubko, E. Alekseev, V. Zakharenko, N. L. Pogrebnyak, A. Kutsenko, I. Ryabtsev
Spectroscopy of atoms in Rydberg states was an object of extensive investigation (see for example [1–5] and references therein). Usually necessary population of Rydberg states is achieved by means of multi-stage pulse laser pumping. That is why useful signal of ionization current from Single Channel Electron Multiplier (CEM or channeltron) is also pulse signal. Essential temporal instability of this signal is one of the main problems during its registration. More over in order to investigate Rydberg spectra of elements with high value of ionization potential (Al, Cu, Au etc.) it is necessary to apply high-temperature source of atoms (up to 2000 – 3000K). That is why there appears effect of redistribution of population by means of black body radiation. This effect makes additional difficulties to study ionization spectra.
{"title":"Time-dependent registration of ionization current for spectroscopy of rydberg atoms","authors":"S. Dyubko, E. Alekseev, V. Zakharenko, N. L. Pogrebnyak, A. Kutsenko, I. Ryabtsev","doi":"10.1109/MSMW.2010.5546042","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546042","url":null,"abstract":"Spectroscopy of atoms in Rydberg states was an object of extensive investigation (see for example [1–5] and references therein). Usually necessary population of Rydberg states is achieved by means of multi-stage pulse laser pumping. That is why useful signal of ionization current from Single Channel Electron Multiplier (CEM or channeltron) is also pulse signal. Essential temporal instability of this signal is one of the main problems during its registration. More over in order to investigate Rydberg spectra of elements with high value of ionization potential (Al, Cu, Au etc.) it is necessary to apply high-temperature source of atoms (up to 2000 – 3000K). That is why there appears effect of redistribution of population by means of black body radiation. This effect makes additional difficulties to study ionization spectra.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"197 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122525950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546183
V. S. Bulygin
The electromagnetic wave diffraction by a PEC axially symmetric screen has been considered, for example, in [2–5]. In [3–4] the problem was solved using Geometrical and Physical Optics methods. In the present paper the exact Maxwell equations with fields, which satisfy Sommerfeld radiation condition, Meixner edge condition and PEC boundary condition on the rotation surface are solved using the rigorous theory of singular and hypersingular integral equations [1]. In [4], the authors reduced the above-mentioned problem to a set of integro-differential one-dimensional equations and solved it numerically using piecewise constant presentation of unknown functions. However, this method converges only for the E-polarized axially symmetric problem. PEC spherical disk was considered in [5] by the method of analytical regularization. This method has a controlled accuracy, but using the method presented in [5] only the problem with a plane wave propagating along the axis of the spherical disk can be solved. In contrast, the method presented here has a guaranteed convergence for an arbitrary primary field.
{"title":"Visibility of a spherical disk illuminated by a plane wave under the grazing incident","authors":"V. S. Bulygin","doi":"10.1109/MSMW.2010.5546183","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546183","url":null,"abstract":"The electromagnetic wave diffraction by a PEC axially symmetric screen has been considered, for example, in [2–5]. In [3–4] the problem was solved using Geometrical and Physical Optics methods. In the present paper the exact Maxwell equations with fields, which satisfy Sommerfeld radiation condition, Meixner edge condition and PEC boundary condition on the rotation surface are solved using the rigorous theory of singular and hypersingular integral equations [1]. In [4], the authors reduced the above-mentioned problem to a set of integro-differential one-dimensional equations and solved it numerically using piecewise constant presentation of unknown functions. However, this method converges only for the E-polarized axially symmetric problem. PEC spherical disk was considered in [5] by the method of analytical regularization. This method has a controlled accuracy, but using the method presented in [5] only the problem with a plane wave propagating along the axis of the spherical disk can be solved. In contrast, the method presented here has a guaranteed convergence for an arbitrary primary field.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131096070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2010-06-21DOI: 10.1109/MSMW.2010.5546039
A. Rybalko, S. Rubets, E. Rudavskii, V. Tikhiy, R. Golovashchenko, V. Derkach, S. Tarapov, O. Usatenko, Y. Poluektov
Low temperature experiments [1–4] on the interaction of electromagnetic field with liquid helium have produced a number of interesting and unexpected results that have yet to be explained in a conventional manner. One of such effects is the resonance absorption and radiation of electromagnetic waves in superfluid helium at a frequency f corresponding to the roton gap of the energy spectrum, ε = Δ/ħ. For Δ =8.65 K, which corresponds to a temperature of the order of 1.4 K, f = 2πω̃ ≈ 180.3 GHz. The temperature dependence of this absorption near the temperature of transition to superfluid state coincides precisely with temperature dependence of the roton gap obtained in neutron scattering experiments [5, 6]. Since at this frequency the photon momentum ppt = 3.8 × 103 cm−1 is many orders of magnitude smaller than the roton momentum pr = 1.9 × 108 cm−1, the question of how the momentum conservation law can be obeyed in a such process must be addressed.
{"title":"Millimeter waveband spectroscopy of liquid He II","authors":"A. Rybalko, S. Rubets, E. Rudavskii, V. Tikhiy, R. Golovashchenko, V. Derkach, S. Tarapov, O. Usatenko, Y. Poluektov","doi":"10.1109/MSMW.2010.5546039","DOIUrl":"https://doi.org/10.1109/MSMW.2010.5546039","url":null,"abstract":"Low temperature experiments [1–4] on the interaction of electromagnetic field with liquid helium have produced a number of interesting and unexpected results that have yet to be explained in a conventional manner. One of such effects is the resonance absorption and radiation of electromagnetic waves in superfluid helium at a frequency f corresponding to the roton gap of the energy spectrum, ε = Δ/ħ. For Δ =8.65 K, which corresponds to a temperature of the order of 1.4 K, f = 2πω̃ ≈ 180.3 GHz. The temperature dependence of this absorption near the temperature of transition to superfluid state coincides precisely with temperature dependence of the roton gap obtained in neutron scattering experiments [5, 6]. Since at this frequency the photon momentum p<inf>pt</inf> = 3.8 × 10<sup>3</sup> cm<sup>−1</sup> is many orders of magnitude smaller than the roton momentum p<inf>r</inf> = 1.9 × 10<sup>8</sup> cm<sup>−1</sup>, the question of how the momentum conservation law can be obeyed in a such process must be addressed.","PeriodicalId":129834,"journal":{"name":"2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132810709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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