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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Миронов, Валерий Леонидович, Бобров, Павел Петрович, Фомин, Сергей Викторович, Каравайский, Андрей Юрьевич
Заглавие : Обобщенная рефракционная диэлектрическая модель влажных почв, учитывающая ионную релаксацию почвенной воды
Место публикации : Изв. вузов. Физика. - 2013. - Т. 56, № 3. - С. 75-79
Аннотация: Предложена многорелаксационная обобщенная рефракционная диэлектрическая модель влажных почв в диапазоне частот от 0, 2 до 14, 8 ГГц. Модель основана на данных диэлектрических измерений, проведенных в этом частотном диапазоне, при температуре 20 °С, для относительных весовых влажностей, изменяющихся в пределах от 2 до 43 %. Созданная модель расширяет частотный диапазон применимости ранее предложенной однорелаксационной модели в область мегагерцового диапазона за счет учета ионной релаксации Максвелла -Вагнера, которая существенно проявляется в связанной почвенной воде в этом диапазоне частот. Показано, что ошибка расчета с помощью предложенной модели спектров комплексной диэлектрической проницаемости влажной почвы имеет тот же порядок, что и погрешность экспериментальных данных, используемых при построении модели.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Val'kov V. V., Korovushkin M. M.
Заглавие : Effect of strong intersite correlations on the mixing of band and localized states of the periodic Anderson model
Место публикации : JETP Letters. - 2008. - Vol. 87, Is. 4. - P.204-208. - ISSN 0021-3640, DOI 10.1134/S002136400804005X
Примечания : Cited References: 10
Предметные рубрики: NARROW ENERGY BANDS
ELECTRON CORRELATIONS
Аннотация: It has been shown in the limit of the low density of band carriers that the inclusion of the strong intersite interaction between electrons within the framework of the periodic Anderson model results in two qualitatively new features in its energy structure. The first feature is associated with the appearance of an additional quasi-localized level, which significantly changes the structure of the electronic density of states. The second feature is the strong renormalization of the effective constant of hybridization with the bare localized level.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Popov A. K., Shalaev M. I., Myslivets S. A., Slabko, V. V.
Заглавие : Unidirectional Amplification and Shaping of Optical Pulses by Three-Wave Mixing with Negative Phonons
Коллективы : International Conference on Metamaterials, Photonic Crystals and Plasmonics
Место публикации : The 4th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META’13): Proceedings. - 2013. - P.35-40
Примечания : Библиогр.: 30 назв.
Аннотация: A possibility to greatly enhance frequency-conversion efficiency of stimulated Raman scattering is shown by making use of extraordinary properties of three-wave mixing of ordinary and backward waves. Such processes are commonly attributed to negative-index plasmonic metamaterials. This work demonstrates the possibility to replace such metamaterials that are very challenging to engineer by readily available crystals which support elastic waves with contradirected phase and group velocities. The main goal of this work is to investigate specific properties of indicated nonlinear optical process in short pulse regime and to show that it enables elimination of fundamental detrimental effect of fast damping of optical phonons on the process concerned. Among the applications is the possibility of creation of a family of unique photonic devices such as unidirectional Raman amplifiers and femtosecond pulse shapers with greatly improved operational properties.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Popov A. K., Shalaev M. I., Myslivets S. A., Slabko V. V.
Заглавие : Unidirectional amplification and shaping of optical pulses by three-wave mixing with negative phonons
Коллективы : US Air Force Office of Scientific Research [FA950-12-1-298]; US National Science Foundation [ECCS-1028353]; Presidium of the Russian Academy of Sciences [24-31]; Russian Federal Program on Science, Education and Innovation [14.A18.21.1942]
Место публикации : Appl. Phys. A: Springer, 2013. - Vol. 115, Is. 2. - P.523-529. - ISSN 0947-8396, DOI 10.1007/s00339-013-8078-4. - ISSN 1432-0630
Примечания : Cited References: 32. - This work was supported in parts by the US Air Force Office of Scientific Research under Grant No. FA950-12-1-298, by the US National Science Foundation under Grant No. ECCS-1028353, by the Presidium of the Russian Academy of Sciences under Grant No. 24-31 and by the Russian Federal Program on Science, Education and Innovation under Grant No. 14.A18.21.1942.
Предметные рубрики: LEFT-HANDED METAMATERIALS
2ND-HARMONIC GENERATION
INDEX METAMATERIALS
NONLINEAR OPTICS
PARAMETRIC AMPLIFICATION
COMPENSATING LOSSES
BACKWARD WAVES
OSCILLATOR
CRYSTALS
Аннотация: A possibility to greatly enhance frequency-conversion efficiency of stimulated Raman scattering is shown by making use of extraordinary properties of three-wave mixing of ordinary and backward waves. Such processes are commonly attributed to negative-index plasmonic metamaterials. This work demonstrates the possibility to replace such metamaterials that are very challenging to engineer by readily available crystals which support elastic waves with contra-directed phase and group velocities. The main goal of this work was to investigate specific properties of indicated nonlinear optical process in short-pulse regime and to show that it enables elimination of fundamental detrimental effect of fast damping of optical phonons on the process concerned. Among the applications is the possibility of creation of a family of unique photonic devices such as unidirectional Raman amplifiers and femtosecond pulse shapers with greatly improved operational properties.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Slabko V. V., Popov A. K., Tkachenko V. A., Myslivets S. A.
Заглавие : Three-wave mixing of ordinary and backward electromagnetic waves: Extraordinary transients in the nonlinear reflectivity and parametric amplification
Место публикации : Opt. Lett.: Optical Society of America, 2016. - Vol. 41, Is. 17. - P.3976-3979. - ISSN 01469592 (ISSN), DOI 10.1364/OL.41.003976
Ключевые слова (''Своб.индексиров.''): amplification--circular waveguides--electromagnetic waves--mixing--nonlinear optics--phase matching--reflection--backward waves--energy fluxes--non-linear reflectivity--optical parametric amplification--parametric amplification--three wave mixing--transient process--optical parametric amplifiers
Аннотация: Three-wave mixing of ordinary and backward electromagnetic waves in a pulsed regime is investigated in the metamaterials that enable the coexistence and phase-matching of such waves. It is shown that the opposite direction of phase velocity and energy flux in backward waves gives rise to extraordinary transient processes due to greatly enhanced optical parametric amplification and frequency up- and down-shifting nonlinear reflectivity. The differences are illustrated through comparison with the counterparts in ordinary, co-propagating settings. © 2016 Optical Society of America.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : SANDALOV I. S., YERUKHIMOV M. S.
Заглавие : EFFECT OF MIXING THE STATES OF CONDUCTIVITY ELECTRONS AND IMPURITY D(F) IONS ON ELECTRIC-CONDUCTIVITY
Место публикации : Zhurnal Eksperimentalnoi Teor. Fiz.: MEZHDUNARODNAYA KNIGA, 1982. - Vol. 82, Is. 1. - P246-253. - ISSN 0044-4510
Примечания : Cited References: 17
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Popov A.K., Myslivets S. A., Shalaev V.M.
Заглавие : Resonant nonlinear optics of backward waves in negative-index metamaterials
Место публикации : Appl. Phys. B-Lasers Opt. - NEW YORK: SPRINGER, 2009. - Vol. 96, Is. 2-3. - С. 315-323. - AUG. - ISSN 0946-2171, DOI 10.1007/s00340-009-3393-3
Примечания : Cited Reference Count: 19. - Гранты: This work was supported by the U.S. Army Research Laboratory and by the U.S. Army Research Office under grants number W911NF-0710261 and 50342-PH-MUR.Финансирующая организация: U.S. Army Research Laboratory; U.S. Army Research Office [W911NF-0710261, 50342-PH-MUR]
Предметные рубрики: 2ND-HARMONIC GENERATION
PARAMETRIC OSCILLATOR
COMPENSATING LOSSES
AMPLIFICATION
Ключевые слова (''Своб.индексиров.''): backward waves--coherent energy transfer--control fields--laser induced--narrow bands--negative index material--negative refractive index--negative-index--nonlinear optical response--nonlinear propagation process--optical parametric generator--ordinary waves--quantum control--signal fields--amplification--energy transfer--metamaterials--refractive index--four wave mixing
Аннотация: The extraordinary properties of resonant four-wave mixing of backward and ordinary electromagnetic waves in doped negative-index materials are investigated. The feasibility of independent engineering of the negative refractive index and the nonlinear optical response as well as quantum control of the nonlinear propagation process in such composites is shown due to the coherent energy transfer from a control field to a signal field. Laser-induced transparency, quantum switching, frequency-tunable narrow-band filtering, amplification, and realizing a miniature mirrorless optical parametric generator of the entangled backward and ordinary waves are among the possible applications of the investigated processes.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sharypov A. V., He, Bing, Arkhipkin V. G., Myslivets S. A.
Заглавие : Quantum properties of parametric four-wave mixing in a Raman-type atomic system
Коллективы : Russian Foundation for Basic Research [15-02-03959]
Место публикации : Phys. Rev. A: American Physical Society, 2017. - Vol. 95, Is. 5. - Ст.053812. - ISSN 2469-9926, DOI 10.1103/PhysRevA.95.053812. - ISSN 2469-9934(eISSN)
Примечания : Cited References:23. - This work was supported by the Russian Foundation for Basic Research under Grant No. 15-02-03959.
Предметные рубрики: ENTANGLEMENT
Аннотация: We present a study of the quantum properties of two light fields used in parametric four-wave mixing in a Raman-type atomic system. The system realizes an effective Hamiltonian of beam-splitter-type coupling between the light fields, which allows one to control squeezing and amplitude distribution of the light fields, as well as realizing their entanglement. The scheme can be feasibly applied to engineer the quantum properties of two single-mode light fields in properly chosen input states.
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Вид документа : Статья из сборника (выпуск монографической серии)
Шифр издания :
Автор(ы) : Sharypov A. V., He, Bing, Arkhipkin V. G., Mislivets S. A.
Заглавие : Quantum properties of a parametric four-wave mixing in a Raman type atomic system
Коллективы : International Symposium on Photon Echo and Coherent Spectroscopy , Russian Foundation for Basic Research [15-02-03959]
Место публикации : EPJ Web Conf. - 2017. - Vol. 161: 11th International Symposium on Photon Echo and Coherent Spectroscopy (Sep 16-21, 2017, Svetlogorsk, Russia). - Ст.UNSP 03015. - , DOI 10.1051/epjconf/201716103015
Примечания : Cited References:0. - This work was supported by the Russian Foundation for Basic Research under Grant No 15-02-03959.
Аннотация: We present a study of the quantum properties of two light fields used to parametric four-wave mixing in a Raman type atomic system. The system realizes an effective Hamiltonian of beamsplitter type coupling between the light fields, which allows to control squeezing and amplitude distribution of the light fields, as well as realizing their entanglement. The scheme can be feasibly applied to engineer the quantum properties of two single-mode light fields in properly chosen input states.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Popov A. K., Myslivets S. A., Tiemann E., Wellegehausen B., Tartakovsky G.
Заглавие : Quantum interference and Manley-Rowe relations in resonant four-wave frequency mixing in an optically thick Doppler-broadened medium
Место публикации : JETP Letters. - 1999. - Vol. 69, Is. 12. - P.912-916. - ISSN 0021-3640, DOI 10.1134/1.568111
Примечания : Cited References: 13
Предметные рубрики: INVERSION
NA-2
Аннотация: It is shown that under resonant interaction conditions certain notions in nonlinear optics which are based on the Manley-Rowe relations no longer hold because of the interference of elementary quantum-mechanical processes. This conclusion is illustrated by numerical examples corresponding to the experiments performed. (C) 1999 American Institute of Physics. [S0021-3640(99)00512-5].
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11.

Вид документа : Статья из сборника (том многотомника)
Шифр издания :
Автор(ы) : Popov A. K., Wellegehausen B.
Заглавие : Interference processes in strong resonance electromagnetic fields at four-wave mixing on incoherently pumped Doppler broadened relaxating quantum transitions
Коллективы : "Modern problems of laser physics", International symposium, Институт лазерной физики Сибирского отделения РАН, Институт спектроскопии РАН, Московский государственный университет им. М.В. Ломоносова
Место публикации : II International symposium on modern problems of laser physics (MPLP'97): proceedings : 2 vols. - Novosibirsk, 1997. - Vol. 2. - P.276-295. - ISBN 5-89017-013-9
Примечания : Cited References: 22
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Popov A. K., Myslivets S. A.
Заглавие : Generation, amplification, frequency conversion, and reversal of propagation of THz photons in nonlinear hyperbolic metamaterial
Место публикации : Opt. Lett.: Optical Society of America, 2017. - Vol. 42, Is. 20. - P.4151-4154. - ISSN 01469592 (ISSN), DOI 10.1364/OL.42.004151
Примечания : Cited References: 13. - Army Research Office (ARO) (W911NF-14-1-0619); Russian Foundation for Basic Research (RFBR) (15-02-03959A). The authors thank I. S. Nefedov for helpful discussions.
Ключевые слова (''Своб.индексиров.''): carbon--metamaterials--optical frequency conversion--photons--terahertz waves--yarn--directed energy--electromagnetic modes--entangled photons--nonlinear hyperbolic--optical parametric amplification--proof of principles--three wave mixing--thz photon--optical parametric amplifiers
Аннотация: We propose metamaterial (MM) that supports a mixture of three or more normal and backward electromagnetic modes with equal co-directed phase velocities and mutually contra-directed energy fluxes. This enables extraordinary three-wave mixing, greatly enhanced optical parametric amplification, and frequency-changing generation of entangled photons in the reflection direction. Proof-of-principle numerical simulation of such processes is presented based on the particular example of the wave-guided terahertz waves contra-propagating in the MM made of carbon nanotubes.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Popov A. K., Baev A. S.
Заглавие : Four-wave mixing under conditions of Doppler-free resonance induced by strong radiation
Место публикации : JETP Letters. - 1999. - Vol. 69, Is. 2. - P.110-116. - ISSN 0021-3640, DOI 10.1134/1.567992
Примечания : Cited References: 10
Предметные рубрики:
Аннотация: The possibilities of enhancing the nonlinear optical response of a gaseous medium and the radiation conversion efficiency in four-wave mixing processes through the use of atomic coherence effects and the induced elimination of the Doppler broadening of resonances are investigated. Numerical illustrations of the effects are given for experiments in progress. (C) 1999 American Institute of Physics.
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Popov A. K., Myslivets S. A., Shalaev V. M.
Заглавие : Coherent nonlinear-optical energy transfer and backward-wave optical parametric generation in negative-index metamaterials
Место публикации : Physica B: ELSEVIER SCIENCE BV, 2010. - Vol. 405: 8th International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (JUN 07-12, 2009, Rethymnon, GREECE), Is. 14. - P2999-3002. - ISSN 0921-4526, DOI 10.1016/j.physb.2010.01.022
Примечания : Cited References: 32
Предметные рубрики: LEFT-HANDED METAMATERIALS
2ND-HARMONIC GENERATION
3RD-HARMONIC GENERATION
MAGNETIC METAMATERIALS
COMPENSATING LOSSES
OSCILLATOR
AMPLIFICATION
Ключевые слова (''Своб.индексиров.''): negative-index metamaterials--backward electromagnetic waves--resonant four-wave mixing and optical parametric amplification--quantum control--backward electromagnetic waves--negative-index metamaterials--quantum control--resonant four-wave mixing and optical parametric amplification--negative-index--negative-index metamaterials--optical parametric amplification--quantum control--amplification--cements--control theory--electromagnetic wave diffraction--electromagnetic wave scattering--electromagnetic waves--electromagnetism--energy transfer--metamaterials--quantum theory--four wave mixing
Аннотация: The feasibility of all-optically tailored transparency of the negative-index slab, its extraordinary dependence on the intensity of the control field, absorption indices and phase-matching of the parametrically coupled counter-propagating waves is numerically simulated. (C) 2010 Elsevier B.V. All rights reserved.
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15.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Popov A. K., Myslivets S. A., Shalaev M. I., Slabko V. V.
Заглавие : Photonic amplification and switching through nonlinear coupling with negative phonons
Коллективы : International Conference on Photonics in Switching (6; 2012 ; Sept ; 11-14; Ajaccio, France)
Место публикации : Int. Conf. Phot. Switch., PS 2012. - 2012. - Ст.6608287. - P. - ISBN 9782912328618 (ISBN)
Ключевые слова (''Своб.индексиров.''): extraordinary stimulated raman scattering--negative group velocity--nonlinear optical wave mixing--optical phonos--photonic components and devices
Аннотация: A family of switching photonic devices and amplifiers are proposed which mimic and utilize extraordinary coherent nonlinear-optical frequency conversion processes commonly attributed to plasmonic metamaterials. В© 2012 SEE.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Popov A. K., Slabko V. V., Shalaev M. I., Nefedov I. S., Myslivets S. A.
Заглавие : Nonlinear optics with backward waves: Extraordinary features, materials and applications
Коллективы : Asian School-Conference on Physics and Technology of Nanostructured Materials, Азиатская школа-конференция по физике и технологии наноструктурированных материалов
Место публикации : Solid State Phenom.: Selected, peer reviewed papers/ ed. N. Galkin. - 2014. - Vol. 213: Physics and Technology of Nanostructured Materials II. - P.222-225. - ISSN 1662-9779, DOI 10.4028/www.scientific.net/SSP.213.222. - ISSN 9783037859704
Ключевые слова (''Своб.индексиров.''): backward waves--negative group velocity--negative-index metamaterials--nonlinear optical frequency mixing--optical phonons--spatial dispersion
Аннотация: Extraordinary properties of nonlinear-optical propagation processes are investigated that involve electromagnetic or elastic waves with negative group velocity. Nanostructured materials that support such waves and prospective unique photonic devices are described. В© (2014) Trans Tech Publications, Switzerland.
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lukinykh V. F., Myslivets S. A., Popov A. K., Slabko V. V.
Заглавие : Nonlinear optical frequency-mixing in DYE vapors
Разночтения заглавия :авие SCOPUS: Nonlinear optical frequency-mixing in dye vapors
Место публикации : APPLIED PHYSICS B-PHOTOPHYSICS AND LASER CHEMISTRY: SPRINGER VERLAG, 1985. - Vol. 38, Is. 2. - P143-146. - ISSN 0721-7269, DOI 10.1007/BF00697454
Примечания : Cited References: 18
Ключевые слова (''Своб.индексиров.''): 42.65--42.80--dyes and dyeing--lasers, solid state - applications--dye vapors--nonlinear optical frequency-mixing--light
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shalaev M.I., Slabko V.V., Myslivets S. A., Popov A.K.
Заглавие : Negative group velocity and three-wave mixing in dielectric crystals
Место публикации : Opt. Lett. - 2011. - Vol. 36, Is. 19. - P.3861-3863. - ISSN 0146-9592, DOI 10.1364/OL.36.003861
Примечания : Cited Reference Count: 15. - Гранты: This work was supported in part by the Russian Federal Program on Science, Education and Innovation under Grant No. 2010-121-102-018, by the Presidium of the Russian Academy of Sciences under Grant No. 27.1, by the Siberian Division of the Russian Academy of Sciences under Integration Project No. 5, and by the U.S. National Science Foundation (NSF) under Grant ECCS-1028353.Финансирующая организация: Russian Federal Program on Science, Education and Innovation [2010-121-102-018]; Presidium of the Russian Academy of Sciences [27.1]; Siberian Division of the Russian Academy of Sciences [5]; U.S. National Science Foundation (NSF) [ECCS-1028353]
Предметные рубрики: INDEX METAMATERIALS
PARAMETRIC AMPLIFICATION
2ND-HARMONIC GENERATION
OSCILLATOR
Ключевые слова (''Своб.индексиров.''): negative group velocity--negative-index--non-linear optical--optical parametric amplification--plasmonic--three wave mixing--electromagnetic waves--electromagnetism--metamaterials--photonic devices--light velocity
Аннотация: We investigate extraordinary features of optical parametric amplification of Stokes electromagnetic waves that originate from the three-wave mixing of a backward phonon wave with negative group velocity and two ordinary electromagnetic waves. Such properties were earlier shown to exist only in plasmonic negative-index metamaterials that are very challenging to fabricate. Nonlinear optical photonic devices with properties similar to those predicted for negative-index metamaterials are proposed. (C) 2011 Optical Society of America
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19.

Вид документа : Статья из сборника (выпуск продолж. издания)
Шифр издания :
Автор(ы) : Mironov V. L., Karavaisky A. Yu.
Заглавие : Temperature dependent dielectric model at 1.4 GHz for an agricultural soil thawed and frozen
Коллективы : International Siberian Conference on Control and Communications
Место публикации : Int. Sib. Conf. on Control and Communicat. (SIBCON 2015): Proceedings: IEEE-Institute Electrical and Electronics Engineers, 2015. - P.1-4. - , DOI 10.1109/SIBCON.2015.7147092
Примечания : Cited References:9
Ключевые слова (''Своб.индексиров.''): agricultural soil--dielectric model--moisture--remote sensing--temperature--thawed and frozen soil--agriculture--frozen soils--mixing--moisture--refractive index--remote sensing--soil moisture--soils--temperature--thawing--agricultural soils--complex refractive index--dielectric measurements--dielectric modeling--measurements of--mixing models--soil solids--temperature dependent--soil surveys
Аннотация: A mono-frequency dielectric model for the agricultural soil both thawed and frozen has been developed. The model is based on the soil dielectric measurements carried out in the ranges of volumetric moisture from 0,03 to 0,51 cm3/ cm3, dry soil density from 1.12 to 1.64 g/cm3, and temperature from -30 to 25°C (heating run), at the frequency of 1.4 GHz used in the SMOS mission. To fit the results of measurements of the soil complex refractive index (CRI) as a function of soil moisture, the refractive mixing model was applied. As a result, the parameters of the refractive mixing model linked to soil solids, as well as the bound, transient, and free soil water components were derived as a function of temperature. The error of the proposed dielectric model was shown to be in the order of the dielectric measurement error itself. © 2015 IEEE.
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Mironov V. L., Bobrov P. P., Fomin S. V.
Заглавие : Multirelaxation generalized refractive mixing dielectric model of moist soils
Место публикации : IEEE Geosc. Remote Sens. Letters. - 2013. - Vol. 10, Is. 3. - Ст.6332477. - P.603-606. - ISSN 1545-598X, DOI 10.1109/LGRS.2012.2215574
Ключевые слова (''Своб.индексиров.''): bound soil water--dielectric model--dielectric relaxations--dielectric spectra--free soil water--moist soil--bound waters--complex dielectric constant--debye relaxation--dielectric models--dielectric spectra--dipole relaxation--frequency ranges--gigahertz frequencies--gigahertz range--moist soil--soil water--spectroscopic parameters--water molecule--dielectric relaxation--mixing--molecules--soil moisture--geologic models
Аннотация: In this letter, a multirelaxation generalized refractive mixing dielectric model (GRMDM) for moist soil is proposed and substantiated in the frequency range from 0.04 to 26.5 GHz. This model is based on the methodology of a single-relaxation GRMDM which accounts only for the dipole relaxation of water molecules in the gigahertz frequency range. The proposed multirelaxation GRMDM takes into account both the dipole (Debye) and ionic (Maxwell-Wagner) relaxations of soil water molecules. For this purpose, it uses a two-frequency Debye relaxation equation for the dielectric spectra of bound water. The spectroscopic parameters of the multirelaxation GRMDM were derived by fitting the spectra calculated by this model to the respective measured ones. The main advantage of this model is that it predicts the complex dielectric constant of moist soils throughout the megahertz and gigahertz frequency ranges with the same error as the single-relaxation GRMDM does only in the gigahertz range.
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