Acoustic method of atmosphere probing. Modern state and development prospects
DOI:
https://doi.org/10.20535/RADAP.2018.73.18-27Keywords:
turbulence, sound in an inhomogeneous medium, antenna directivity, wind, temperature, humidity, wind shearAbstract
Acoustic methods of atmosphere sounding allow us to track the meteorological situation in the atmospheric boundary layer at low costs on-line. The urgency of the these methods development is determined by the need to monitor the environment in conditions of man-caused load increasing. Acoustic waves are much more sensitive to changes in air parameters than electromagnetic waves. However, at present, their effectiveness, compared with laser, thermal and other systems is relatively low. The development of the acoustic sounding method has two directions: the improvement of theoretical descriptions of the interaction of acoustic waves with the atmosphere and the improvement of sounding techniques. Therefore, the evaluation of the most promising paths requires a detailed analysis of the current state, both theoretical foundations and technical implementations of the method. The paper shows that modern acoustic locators are performed at a high technical level and at present the main problem of the method is the lack of an adequate theory of processing the information obtained. The most urgent problems of the method development at the present stage are formulated in the work. They relate to the inverse problems of the fundamental problems of the theory of sound scattering in an inhomogeneous moving medium. Therefore, at present, a number of consecutive progressive steps are required to solve applied problems in the direction of adapting existing achievements to the use in sodar’s systems. Among the urgent tasks that can be developed at the current stage, we can identify the most important. This is a refinement of models of acoustic waves reflection in a stable atmospheric boundary layer in the period of nighttime temperature inversions. Analysis of multi-path probing possibilities for various phase relationships in emitted signals is carried out. Analysis of the prospects for the use of modulated sounding signals is conducted. Naturally, in addition to the above, there are more complex tasks. These include, for example, the reflection analysis in a compressible medium or the optimization of the initial relationships. In practical terms, a clear justification for simplifications in specific tasks is promising.References
Перечень ссылок
Кpасненко H. П. Акустическое зондиpование атмосфеpы / Н. П. Кpасненко // J. Phys. D: Appl. Phys. -2007. - No.40. - pp. 45–53.
Каллистратова М. А. Радиоакустическое зондирование атмосферы / М. А. Каллистратова, А. Кон. - М. : Наука, 1985. - 197 с.
Основы акустики : в 2 т. Т.1. Пер. с англ. / Скучик Е. - М. : Мир, 1976. - 519 с.
Лойцянский Л. Г. Механика жидкости и газа / Л. Г. Лойцянский. - М. : Наука, 1978. - 736 с.
Исакович М.А. Общая акустика / М. А. Исакович. - М. : Наука, 1973.– 496 с.
Amamou Manel L. A theoretical and numerical resolution of an acoustic multiple scattering problem in three-dimensional case / L. Amamou Manel // Acoustical Physics, 62, 3. - pp. 280-291.
Копьев В. Ф. Создание заглушенной установки для аэроакустических экспериментов и исследование ее акустических характеристик / В. Ф. Копьев, В. В. Пальчиковский, И. В. Беляев, Ю. В. Берсенев, С. Ю. Макашов, . В. Храмцов, . А. Корин, Е. В. Сорокин, О. Ю. Кустов // Акустический журнал. - 2017. - Т.63, 1. - с.114-126.
Shanin A.V. Diffraction by an impedance strip I. Reducing diffraction problem to Riemann-Hilbert problems / A. V. Shanin, A. I. Korolkov // Quart. Journ. of Mech. And Appl. Mahc. - 2015. - V.68. - pp.321-339.
Коробов А. И . Влияние давления на нелинейное отражение упругих волн от границы двух твердых тел / А. И. Коробов, Н. В. Ширгина, А. Кокшайский // Акустический журнал. - 2015. - т.61, 2, с. 182-190.
Денисов С. Л. Исследование эффективности экранирования шума с помощью метода последовательностей максимальной длины в приложении к задачам авиационной акустики /С. Л. Денисов, А. И. Корольков // Акустический журнал. - 2017. - Т.63, 4. - с. 419-435.
Chen Yong. Study of thermoviscous dissipation on axisymmetric wave propagating in a shear pipeline flow confined by rigid wall. Part I. Theoretical formulation / Chen Xiaoqian, Huang Yiyong, Bai Yuzhu, Hu Dengpeng, Fei Shaoming // Acoustical Physics. - 2016. - 62, 1. - pp. 27-37.
Liu X., Jiang H., Huang X., Chen S. Theoretical model of scattering from flow ducts with semi-infinite axial liner splices // J. Fluid Mech. - 2016. - V.786. - pp. 62-83.
Agaltsov F.D. On the reconstruction of parameters of a moving fluid from the Dirichlet-to-Neumann map // Eurasian J. Mathematical and Computer Applications. - 2016. - V.4, 1. - pp.4-11.
Krylov V. V. Acoustic black holes: recent developments in the theory and applications / V. V. Krylov V.V. // IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. - 2014. - V.61. N 8. - pp.1296-1306.
Agaltsov A. D. Uniqueness and non-uniqueness in acoustic tomography of moving fluid / A. D. Agaltsov, R. G. Novikov // J. Inverse and Ill-Posed Problems. -2016. - Т. 24. - 3. - pp. 333-340.
Chen J. Simultaneously measuring thickness, density, velocity and attenuation of thin layers using V(z,t) data from time-resolved acoustic microscopy / J. Chen, X. Bai, K. Yang, B.-F. Ju // Ultrasonics. - 2015. - V.56-- pp.505.
Скворцов Б.В. Теоретические основы дистанционного акустического контроля уровня и плотности жидких контактирующих сред на границе раздела / Б. В. Скворцов, А. В. Солнцева, С. А. Борминский, Л. В. Родионов // Акустический журнал. - 2016. - 62, 6. - с. 731-737.
Зотов Д. И. Восстановление векторного поля течения функциональным алгоритмом Новикова-Агальцова и аддитивно-корреляционным способом / Д. И. Зотов, А. С. Шуруп, О. Д. Румянцева // Изв.РАН. Сер.Физическая. - 2017. - Т.81, 1. - С.111-116.
Лайхтман Д. Л. Физика погpаничного слоя атмосфеpы / Д.Л. Лайхтман. - Л. : Гидpометеоиздат. - 1970. - 342 с.
Драганов Б. Х. К Вопросу о динамике приземной атмосферы / Б.Х. Драганов // Енергетика та автоматика. - 2015. - №3. -с.19--25.
Хргиан А. Х. Физика атмосферы / А. Х. Хргиан. - Л. : Гидрометеоиздат, 1969. - 647 с.
Фрик П. Г. Турбулентность: подходы и модели / П. Г. Фрик. - Ижевск: Изд. ИКИ, 2003. - 292 с.
Banerjee T. Revisiting the formulations for the longitudinal velocity variance in the unstable atmospheric surface layer / T. Banerjee, G. G. Katul, S. T. Salesky, M. Chamecki // Q J R Meteorol Soc. - 2014. - 141. - pp. 1699–1711.
Chamecki M. Scaling laws for the longitudinal structure function in the atmospheric surface layer / M. Chamecki, N. L. Dias, S.T. Salesky, Y. Pan // J Atmos Sci. - 2017. - 74 (4). - pp.1127–1147.
Crivellaro B. L. Spectral effects on scalar correlations and fluxes / B. L. Crivellaro, N. L. Dias, T. Chor // Am J Environ Eng. - 2013. - 3. - с.3–17.
Колмогоров А. Н. Локальная структура турбулентности в несжимаемой вязкой жидкости при очень больших числах Рейнольдса // УФН. -- 1967. -- Вып. 93. -- pp. 476–481.
Монин А. С. Статистическая гидромеханика.Ч.1 / А. С. Монин, А. М. Яглом. - М. : Hаука, 1965.- 640 с.
Турбулентность. Принципы и применения / Под ред. У. Фроста, Т. Моулдена. М. : Мир, 1980. - 536 с.
Ковальногов Н. Н. Прикладная механика жидкости и газов~/ Н. Н. Ковальногов. - Ульяновск, 2010.
Касилов В. Ф. Справочное пособие по гидрогазодинамике для теплоэнергетиков
/ В.Ф. Касилов. - 2001. - М. : Изд-во МЭИ. -272с
Воронцов П. А. Турбулентность и вертикальные токи в пограничном слое атмосферы / П. А. Воронцов. - Л. : Гидрометеоиздат, 1966. - 296 с.
Бызова Н. Л. Экспериментальные исследования атмосферной диффузии и расчеты распространения примеси / Под ред. Н. Л. Бызовой, Е. К. Гаргера, В. Н. Иванова. - Л. : Гидрометеоиздат. - 1991. -– 280с.
Mahrt L. Stably stratified atmospheric boundary layers / L. Mahrt // Annu Rev Fluid Mech. - 2014. - 46. - pp.23–45.
Kang Y. Classes of structures in the stable atmospheric boundary layer / Y. Kang, D. Belušić, K. Smith-Miles // Q J R Meteorol Soc. - 2015. - 141. - pp. 2057–2069.
Acevedo O. C. The influence of submeso processes on stable boundary layer similarity relationships / O. C. Acevedo, F. D. Costa, P. E. S. Oliveira, F. S. Puhales, G. Degrazia, D. R.Roberti // J Atmos Sci. - 2014. - 71(1). - pp. 207–225
Cava D. A wavelet analysis of low-wind-speed submeso motions in a nocturnal boundary layer / D. Cava, L. Mortarini, U. Giostra, R. Richiardone, D. Anfossi // Q J R Meteorol Soc. - 2017. - Т. 143. - 703. - pp.661-669.
Vemado F. A Severe weather caused by heat island and sea breeze effects in the metropolitan area of São Paulo. Brazil / F. Vemado, F. Pereira // Adv Meteorol. - 2016. - 8364. - pp.134.
Sun J. Review of wave-turbulence interactions in the stable atmospheric boundary layer / J. Sun, C. J. Nappo, L. Mahrt, D. Belušić, B. Grisogono, D. R. Stauffer, M. Pulido, C. Staquet, Q. Jiang, A. Pouquet et al // Rev Geophys. -2015. - 53(3). -pp. 956–993.
Suarez A. Wavelet-based methodology for the verification of stochastic submeso and meso-gamma fluctuations / A. Suarez, D. R. Stauffer, B. J. Gaudet // Mon Weather Rev. - 2015. - 143(10). - pp.4220–4235.
Sun J. Wind and temperature oscillations generated by wave-turbulence interactions in the stably stratified boundary layer / J. Sun, L. Mahrt, C. Nappo, D. H. Lenschow // J Atmos Sci. - 2015. - 72(4). - pp.1484–1503.
Vercauteren N. A clustering method to characterize intermittent bursts of turbulence and interaction with submesomotions in the stable boundary layer / N. Vercauteren, R. Klein // J Atmos Sci. - 2015. - 72(4). - pp.1504–1517.
Kehler S. High resolution deterministic prediction system (HRDPS) simulations of Manitoba lake-breezes / S. Kehler, J. Hanesiak, M. Curry, D. M. L. Sills, N. Taylor~// Atmos Ocean. - 2016. - 54. - pp. 93–107.
Vercauteren N. Investigation of interactions between scales of motion in the stable boundary layer / N. Vercauteren, L. Mahrt, R. Klein // Q J R Meteorol Soc. - 2016. - Т. 142. - 699. - pp.2424-2433.
Wentworth G. R. Impact of lake-breezes on ozone and nitrogen oxides in the Greater Toronto Area / G. R. Wentworth, J.G. Murphy, D. M. L. Sills // Atmos Environ. - 2015. - 109. - pp.52–60.
Curry M. A radar-based investigation of lake-breezes in southern Manitoba, Canada / M. Curry, J. Hanesiak, D. M. L. Sills // Atmos Ocean. - 2015. - 53. - pp.237–250.
Ram K. Variability in aerosol optical properties over an urban site, kanpur, in the indo-gangetic plain: a case study of haze and dust events / K. Ram, S. Singh, M. M. Sarin, A. K. Srivastava, S. N. Tripathi // Atmos Res. - 2016. - 174–175. - pp.52–61.
Осташев В.Е. Распространение и рассеяние звуковых волн в турбулентных средах (атмосфере и океане)/ В.Е.Осташев // Оптика атмосферы и океана. - 1991. - Т. 4. № 9. - С. 931–937.
Татарский В.И. Распространение волн в турбулентной атмосфере / В. И. Татарский. - М. : Наука, 1967. - 548с.
Бреховских Л. М. Акустика слоистых сред / Л. М. Бреховских, О. А. Годин. -- М. : Наука. Гл.ред.физ.-мат.лит. - 1989. - 416с.
Liu Chang. Radio acoustic sounding systems: part 1. The diffraction problem for a bistatic zone / Liu Chang, A. Yu. Panchenko, M. I. Slipchenko // Telecommunication and Radio Engeneering. ~-– 2013. - №72(14). -P. 1289--1296.
Ульянов Ю. Н. Двухчастотная радиоакустическая система / Ю. Н. Ульянов // Труды VШ Всесоюзн. симп. по лазерному и акустическому зондированию атмосферы. - Томск, 1984.- Ч.2.- С.196-199.
Рanchenko A. Yu. Equation of state in the set of acoustics equations for a moving non-uniform medium / A. Yu. Рanchenko // Telecommunications and Radio Engeneering. Begell Hous, Inc., New York, NY, (USA). - 1998. - Vol.51, 4. - pp.22-25.
Блохинцев Д. И. Акустика неоднородной движущейся среды / Д. И. Блохинцев. - М. : Наука. Гл.ред.физ.-мат.лит., 1981. - 206с.
References
Krasnenko N.P. (1986) Akusticheskoye zondipovaniye atmosfepy [Acoustic sounding of the atmosphere], Hovosibirsk, Nauka, 166 p.
Kallistratova M.A. and Kon A.I. (1985) Radioakusticheskoye zondirovaniye atmosfery [Radioacoustic sounding of the atmosphere], Moskow, Nauka, 197 p.
Skudrzyk E. (1971) The Foundations of Acoustics. Basic Mathematics and Basic Acoustics, Springer-Verlag, DOI: 10.1007/978-3-7091-8255-0
Loytsyanskiy L.G. (1978) Mekhanika zhidkosti i gaza [Mechanics of liquid and gas], Мoskow, Nauka, 736 p.
Isakovich M.A. (1973) Obshchaya akustika [General acoustics], Мoskow, Nauka, 496 p.
Amamou M.L. (2016) A theoretical and numerical resolution of an acoustic multiple scattering problem in three-dimensional case. Acoustical Physics, Vol. 62, Iss. 3, pp. 280-291. DOI: 10.1134/s1063771016030015
Kopiev V.F., Palchikovskiy V.V., Belyaev I.V., Bersenev Y.V., Makashov S.Y., Khramtsov I.V., Korin I.A., Sorokin E.V. and Kustov O.Y. (2017) Construction of an anechoic chamber for aeroacoustic experiments and examination of its acoustic parameters. Acoustical Physics, Vol. 63, Iss. 1, pp. 113-124. DOI: 10.1134/s1063771017010043
Shanin A.V. and Korolkov A.I. (2015) Diffraction by an impedance strip I. Reducing diffraction problem to Riemann–Hilbert problems. The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 68, Iss. 3, pp. 321-339. DOI: 10.1093/qjmam/hbv010
Korobov A.I., Shirgina N.V. and Kokshaiskii A.I. (2015) A pressure effect on the nonlinear reflection of elastic waves from the boundary of two solid media. Acoustical Physics, Vol. 61, Iss. 2, pp. 165-172. DOI: 10.1134/s1063771015020074
Denisov S.L. and Korolkov A.I. (2017) Investigation of noise-shielding efficiency with the method of sequences of maximum length in application to the problems of aviation acoustics. Acoustical Physics, Vol. 63, Iss. 4, pp. 462-477. DOI: 10.1134/s1063771017040017
Chen Y., Chen X., Huang Y., Bai Y., Hu D. and Fei S. (2016) Study of thermoviscous dissipation on axisymmetric wave propagating in a shear pipeline flow confined by rigid wall. Part I. theoretical formulation. Acoustical Physics, Vol. 62, Iss. 1, pp. 27-37. DOI: 10.1134/s1063771016010061
Liu X., Jiang H., Huang X. and Chen S. (2015) Theoretical model of scattering from flow ducts with semi-infinite axial liner splices. Journal of Fluid Mechanics, Vol. 786, pp. 62-83. DOI: 10.1017/jfm.2015.633
Agaltsov A. (2016) On the reconstruction of parameters of a moving fluid from the Dirichlet-to-Neumann map. Eurasian J. Mathematical and Computer Applications, Vol. 4, No 1, pp. 4-11. arXiv:1512.06367
Krylov V.V. (2014) Acoustic black holes: recent developments in the theory and applications. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 61, Iss. 8, pp. 1296-1306. DOI: 10.1109/tuffc.2014.3036
Agaltsov A.D. and Novikov R.G. (2016) Uniqueness and non-uniqueness in acoustic tomography of moving fluid. Journal of Inverse and Ill-posed Problems, Vol. 24, Iss. 3. DOI: 10.1515/jiip-2015-0051
Chen J., Bai X., Yang K. and Ju B. (2015) Simultaneously measuring thickness, density, velocity and attenuation of thin layers using V(z,t) data from time-resolved acoustic microscopy. Ultrasonics, Vol. 56, pp. 505-511. DOI: 10.1016/j.ultras.2014.09.019
Skvortsov B.V., Solntseva A.V., Borminskii S.A. and Rodionov L.V. (2016) Theoretics of remote acoustic monitoring of the level and density of fluid contacting media at the interface. Acoustical Physics, Vol. 62, Iss. 6, pp. 747-753. DOI: 10.1134/s1063771016060166
Zotov D.I., Shurup A.S. and Rumyantseva O.D. (2017) Vector field reconstruction of flows using the Novikov–Agaltsov functional algorithm and the additive correlation method. Bulletin of the Russian Academy of Sciences: Physics, Vol. 81, Iss. 1, pp. 101-105. DOI: 10.3103/s1062873817010312
Laykhtman D.L.(1970) Fizika pogranichnogo sloya atmosfery [Physics of the boundary layer of the atmosphere], Hydrometeoizdat, 342 p.
Draganov B. Kh. (2015) K voprosu o dinamike prizemnoy atmosfery [To the question of the dynamics of the surface atmosphere] Enerhetyka ta avtomatyka, Vol.3,pp.19-25.
Khrgian A. Kh. (1969) Fizika atmosfery [Physics of the Atmosphere] Hydrometeoizdat, 647 p.
Frik P.G. (2003) Turbulentnost': podkhody i modeli [Turbulence: Approaches and Models], Izhevsk, IKI, 292 p.
Banerjee T., Katul G.G., Salesky S.T. and Chamecki M. (2014) Revisiting the formulations for the longitudinal velocity variance in the unstable atmospheric surface layer. Quarterly Journal of the Royal Meteorological Society, Vol. 141, Iss. 690, pp. 1699-1711. DOI: 10.1002/qj.2472
Chamecki M., Dias N.L., Salesky S.T. and Pan Y. (2017) Scaling Laws for the Longitudinal Structure Function in the Atmospheric Surface Layer. Journal of the Atmospheric Sciences, Vol. 74, Iss. 4, pp. 1127-1147. DOI: 10.1175/jas-d-16-0228.1
Crivellaro B.L., Dias N.L. and Chor T. (2013) Spectral Effects on Scalar Correlations and Fluxes. American Journal of Environmental Engineering, Vol. 3, Iss. 1, pp. 13-17. DOI: 10.5923/j.ajee.20130301.03
Kolmogorov A.N. (1968) Local structure of turbulence in an incompressible viscous fluid at very high reynolds numbers. Soviet Physics Uspekhi, Vol. 10, Iss. 6, pp. 734-746. DOI: 10.1070/pu1968v010n06abeh003710
Monin A.S. and Yaglom A. M. (1965) Statisticheskaya gidromekhanika. Chast' 1 Mekhanika turbulentnosti [Statistical hydromechanics. Ch. 1 Mechanics of turbulence], Moskow, Nauka, 640 p.
Frost W. and Moulden T.H. eds. (1977) Handbook of Turbulence. Volume 1 Fundamentals and Applications, Plenum Press, 536 p. DOI: 10.1007/978-1-4684-2322-8
Koval'nogov N. N. (2010)Prikladnaya mekhanika zhidkosti i gazov [Applied Mechanics of Fluids and Gases], Ulyanovsk, Ul'yanovskiy gosudarstvennyy tekhnicheskiy universitet [Ulyanovsk State Technical University], 219 p.
Kasilov V.F.(2001) Spravochnoye posobiye po gidrogazodinamike dlya teploenergetikov [Reference book on hydrogasdynamics for heat and power engineering], Izd-vo Moskovskiy ênergeticheskiy institut[Moscow Institute of Energy Engineering]. 272p.
Vorontsov P.A. (1966) Turbulentnost' i vertikal'nyye toki v pogranichnom sloye atmosfery [Turbulence and vertical currents in the boundary layer of the atmosphere], Gidrometeoizdat, 296 p.
Byzova N.L. eds., Gargera E.K. and Ivanova V.N. (1991) Eksperimental'nyye issledovaniya atmosfernoy diffuzii i raschety rasprostraneniya primesi [Experimental studies of atmospheric diffusion and calculation of impurity diffusion], Gidrometeoizdat, 280 p.
Mahrt L. (2014) Stably Stratified Atmospheric Boundary Layers. Annual Review of Fluid Mechanics, Vol. 46, Iss. 1, pp. 23-45. DOI: 10.1146/annurev-fluid-010313-141354
Kang Y., Belušić D. and Smith-Miles K. (2015) Classes of structures in the stable atmospheric boundary layer. Quarterly Journal of the Royal Meteorological Society, Vol. 141, Iss. 691, pp. 2057-2069. DOI: 10.1002/qj.2501
Acevedo O.C., Costa F.D., Oliveira P.E.S., Puhales F.S., Degrazia G.A. and Roberti D.R. (2014) The Influence of Submeso Processes on Stable Boundary Layer Similarity Relationships. Journal of the Atmospheric Sciences, Vol. 71, Iss. 1, pp. 207-225. DOI: 10.1175/jas-d-13-0131.1
Cava D., Mortarini L., Giostra U., Richiardone R. and Anfossi D. (2016) A wavelet analysis of low-wind-speed submeso motions in a nocturnal boundary layer. Quarterly Journal of the Royal Meteorological Society, Vol. 143, Iss. 703, pp. 661-669. DOI: 10.1002/qj.2954
Vemado F. and Pereira Filho A. (2016) Severe Weather Caused by Heat Island and Sea Breeze Effects in the Metropolitan Area of São Paulo, Brazil. Advances in Meteorology, Vol. 2016, , pp. 1-13. DOI: 10.1155/2016/8364134
Sun J., Nappo C.J., Mahrt L., Belušić D., Grisogono B., Stauffer D.R., Pulido M., Staquet C., Jiang Q., Pouquet A., Yagüe C., Galperin B., Smith R.B., Finnigan J.J., Mayor S.D., Svensson G., Grachev A.A. and Neff W.D. (2015) Review of wave-turbulence interactions in the stable atmospheric boundary layer. Reviews of Geophysics, Vol. 53, Iss. 3, pp. 956-993. DOI: 10.1002/2015rg000487
Suarez A., Stauffer D.R. and Gaudet B.J. (2015) Wavelet-Based Methodology for the Verification of Stochastic Submeso and Meso-Gamma Fluctuations. Monthly Weather Review, Vol. 143, Iss. 10, pp. 4220-4235. DOI: 10.1175/mwr-d-15-0075.1
Sun J., Mahrt L., Nappo C. and Lenschow D.H. (2015) Wind and Temperature Oscillations Generated by Wave–Turbulence Interactions in the Stably Stratified Boundary Layer. Journal of the Atmospheric Sciences, Vol. 72, Iss. 4, pp. 1484-1503. DOI: 10.1175/jas-d-14-0129.1
Vercauteren N. and Klein R. (2015) A Clustering Method to Characterize Intermittent Bursts of Turbulence and Interaction with Submesomotions in the Stable Boundary Layer. Journal of the Atmospheric Sciences, Vol. 72, Iss. 4, pp. 1504-1517. DOI: 10.1175/jas-d-14-0115.1
Kehler S., Hanesiak J., Curry M., Sills D. and Taylor N. (2016) High Resolution Deterministic Prediction System (HRDPS) Simulations of Manitoba Lake Breezes. Atmosphere-Ocean, Vol. 54, Iss. 2, pp. 93-107. DOI: 10.1080/07055900.2015.1137857
Vercauteren N., Mahrt L., Klein R. (2016) Investigation of interactions between scales of motion in the stable boundary layer. Q J R Meteorol Soc,Vol. 142. pp.2424-2433. DOI:10.1002/qj.2835
Wentworth G., Murphy J. and Sills D. (2015) Impact of lake breezes on ozone and nitrogen oxides in the Greater Toronto Area. Atmospheric Environment, Vol. 109, pp. 52-60. DOI: 10.1016/j.atmosenv.2015.03.002
Curry M., Hanesiak J. and Sills D. (2015) A Radar-Based Investigation of Lake Breezes in Southern Manitoba, Canada. Atmosphere-Ocean, Vol. 53, Iss. 2, pp. 237-250. DOI: 10.1080/07055900.2014.1001317
Ram K., Singh S., Sarin M., Srivastava A. and Tripathi~S. (2016) Variability in aerosol optical properties over an urban site, Kanpur, in the Indo-Gangetic Plain: A case study of haze and dust events. Atmospheric Research, Vol. 174-175, pp. 52-61. DOI: 10.1016/j.atmosres.2016.01.014
Ostashev В.Е. (1991) Rasprostraneniye i rasseyaniye zvukovykh voln v turbulentnykh sredakh (atmosfere i okeane) [Propagation and scattering of sound waves in turbulent media (atmosphere and ocean)]. Optika atmosfery i okeana, Vol. 4, No 09, pp. 931–937.
Tatarskiy V.I. (1967) Rasprostraneniye voln v turbulentnoy atmosfere [Propagation of waves in a turbulent atmosphere], Moskow, Nauka, 548 p.
Brekhovskikh L.M. and Godin O.A. (1989) Akustika sloistykh sred [Acoustics of layered media], Moskow, Nauka, 416 p.
Liu Chang, Panchenko A. Yu., Slipchenko M. I. (2013) Radio acoustic sounding systems: part 1. The diffraction problem for a bistatic zone. Telecommunication and Radio Engeneering. Telecommunications and Radio Engineering, Vol. 72, Iss. 14, pp. 1289-1296 . DOI: 10.1615/TelecomRadEng.v72.i14.30
Liu Chang, Panchenko A. Yu. and Slipchenko M. I. (2013) Radio acoustic sounding systems: part 1. The diffraction problem for a bistatic zone. Telecommunication and Radio Engeneering, No 72(14), pp. 1289-1296. DOI: 10.1615/TelecomRadEng.v72.i14.30
Panchenko A.Y. (1997) Equation of State in the Set of Acoustics Equations for a Moving Non-Uniform Medium. Telecommunications and Radio Engineering, Vol. 51, Iss. 4, pp. 22-25. DOI: 10.1615/telecomradeng.v51.i4.20
Blokhintsev D. I. (1981) Akustika neodnorodnoy dvizhushcheysya sredy [Acoustics of an inhomogeneous moving medium], Moskow, Nauka, 206 p.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).