[01] D. P. Nandedkar, Department of Electrical Engineering, Indian Institute of Technology, Bombay, Powai, Mumbai, India.

In previous papers by Bhagavat and/ Nandedkar [1] to [11] and [29], an analysis of a plasma model biased by a d.c. electric field and perturbed by low power r.f. waves has been carried out, where damped oscillations in plasma were discovered [2]. The aim of the present paper is to give a review of all this work and to complete some portions which have remained uncompleted previously. First of all the choice of a plasma model chosen in absence of a d.c. electric field is considered where eigen frequency damped oscillations due to electrons and ions exit which are not sustained in the screening sphere. Then d.c. resistivity of the plasma due to electron-molecule and ion-molecule collisions is described in presence of a d.c. electric field. Afterwards electronic and ionic frequencies of damped oscillations are illustrated in presence of a d.c. electric field. Electronic and ionic frequencies of damped oscillations also exit inside screening sphere and they are sustained there. In presence of electronic and ionic frequencies of damped oscillations, electrons and ions absorb d.c. energies because of finite d.c. resistivity due to collisions of charge-carriers with neutral molecules in plasma which reappears as noise spectrum which cancels out due to electrons and ions as charge of an electron is equal and opposite to that of a considering singly charged ion in plasma, which is described in turn of quantum statistical theory of finite d.c. resistivity of the plasma. After explaining the quantum statistical theory of finite d.c. resistivity of the plasma, perturbation of the plasma model (biased by a d.c. electric field) by low power r.f. waves is considered in which anomalous dispersion of r.f. waves occurs where permittivity of plasma, energy transport, phase & group, and wave front & signal velocities of the r.f. wave in the region near resonance in the plasma and quantum theory of noise radiation due to finite r.f. resistivity of the plasma, are illustrated one by one. In the end, conclusions of the ‘quantum statistical plasma model biased by a d.c. electric field and perturbed by low power r.f. waves’ are discussed. The absorption of r.f. energy is maximum near the resonance and falls on either side of it and the absorption of r.f. energy in plasma gives rise to a continuous spectrum (black-body type) of all noise frequencies of waves with a peak of extremely low power at sub-millimeter range of wavelengths for low power interacting electromagnetic U.H.F. wave(s) with plasma.

Quantum, Statistics, Plasma, Low-Power, Radio-Frequency, Wave-Velocities, Perturbation, Noise, Spectrum

[01] Bhagavat, G. K. and Nandedkar, D. P., (1968): “Investigation of the damped oscillations in plasma”, International Journal of Electronics (London)’, Vol. 24, pp. 535. [02] Bhagavat, G.K. and Nandedkar, D. P., (1968): “Energy density and velocity of energy transport of a r.f wave in plasma when the wave frequency approaches the frequency of damped oscillations Part I”, ‘International Journal of Electronics (London)’ Vol. 25, pp. 133. [03] Bhagavat, G. K. and Nandedkar, D. P., (1968): “Energy density and velocity of energy transport of a r.f wave in plasma when the wave frequency approaches the frequency of damped oscillations Part II”, ‘International Journal of Electronics (London)’ Vol. 25, pp. 143. [04] Bhagavat, G. K. and Nandedkar, D. P., (1968): “Analysis and detection of backward waves in plasma in the region of anomalous dispersion”, ‘International Journal of Electronics (London)’, Vol. 25, pp. 249. [05] Nandedkar, D. P. and Bhagavat, G. K., (1969): “Analysis of absorption of a r.f wave in plasma in the region of anomalous Dispersion”, ‘International Journal of Electronics (London)’, Vol. 26, pp. 269. [06] Nandedkar, D. P. and Bhagavat, G. K., (1969): “Analysis of noise spectrum of the absorbed r.f wave in plasma in the region of anomalous dispersion”, International Journal of Electronics (London)”, Vol. 26, pp. 345. [07] Nandedkar, D. P. and Bhagavat, G. K., (1969): “Wave front and signal velocities of a r.f wave in plasma in plasma in the region of backward waves”, ‘International Journal of Electronics (London)’, Vol. 27, pp. 31. [08] Nandedkar, D. P. and Bhagavat, G. K., (1970): “Quantum” theory of finite d.c resistivity of plasma”, ‘International Journal of Electronics (London)’, Vol. 28, pp. 51. [09] Nandedkar, D. P. and Bhagavat, G. K., (1970): “Analysis of d.c noise spectrum in plasma”, ‘International Journal of Electronics (London)’, Vol. 29, pp. 329. [10] Nandedkar, D. P. and Bhagavat, G. K., (1970): “Damped oscillations in plasma”, ‘International Journal of Electronics (London)’, Vol. 29, pp. 337. [11] Nandedkar, D. P., (2016): “Determination of the charge to mass ratio of an electron and classical radius of a gas molecule using the knowledge of electronic damped oscillations in plasma”, Vol. 2, No. 2, pp. 67-83, 2016, Phys. Journal (PSF), AIS, (USA). [12] Appleton E. V. and Chapman, F. W., (1932): “The collisional friction experienced by vibrating electrons in ionized air”, ‘Proceedings of the physical society of London’, Vol. 44, pp. 246. [13] Ramo, S., Whinnery, J. R. & V. Duzer, T., (1970): “Fields and Waves in Communication Electronics”, First Wiley Easter Reprint, Wiley Eastern Private Ltd, New Delhi. [14] Ratcliffe, J. A., (1959): “The magneto-ionic theory and its applications to the ionosphere”, ‘The University Press’, Cambridge. [15] Tonks, L. and Langmuir, I., (1929): “Oscillations in ionized gases”, ‘Physical Review’, Vol. 33, pp. 195. [16] Margenau, H., (1946): “Conduction and dispersion of ionized gases at high frequencies”, ‘Physical Review’, Vol. 69, pp. 508. [17] Marton, L. (Editor), (1955): “Advances in electronics and electron Physics, Vol 7”, ‘Academic Press Inc. Publishers’, New York. [18] Adler, F. P., (1949): “Measurement of the complex conductivity of an ionized gas at microwave frequencies”, ‘Physical Review’, Vol. 20, pp. 1125. [19] Bhagavat, G. K. and Nandedkar, D. P., (1968): “Dielectric measurements in plasma at very high frequencies (150-200 Mc/s)”, ‘Journal of the Institution of Telecommunication Engineers (India)’ Vol. 14, pp. 161. [20] Larmor, J., (1924): “Why wireless electric rays can bend round the earth”, ‘Philosophical Magazine’ Vol. 48, pp. 1025. [21] Larmor, J., (1924): “Why wireless electric rays can bend round the earth”, ‘Nature (London)’ Vol. 114, pp. 650. [22] Eccles, W. H., (1912): “On the diurnal variation of the electric waves occurring in nature, and on the propagation of electric waves round the bend of the earth”, ‘Proceedings of Royal Society’, Section A, Vol. 87, pp. 79. [23] Barton, E. H. and Kilby, W. B., (1913): “The effect of ionization of air on electrical oscillations and its bearing on long distance wireless telegraphy”, ‘Philosophical Magazine’, Vol. 26, pp. 567. [24] Gutton, H., (1930): “Recherches sur les properties dielectriques des gas ionises et la de ̈scharge in haute freqquence”, ‘Annales de Physique’, Vol. 13, pp. 62. [25] Gutton, H. and Clement, J., (1927): “Sur les proprie’te’s dielectriques des gas ionis’es”, ‘Comptes Rendus’, Vol. 184, pp. 441. [26] Appleton, E. V. and Childs, E. C., (1930): “On some radio-frequency properties of Ionized air”, ‘Philosophical Magazine’, Vol. 10, pp. 969. [27] Rahman, S. M. F. and Khastgir, S. R., (1940): “Dielectric constant of ionized air- III”, ‘Philosophical Magazine’, Vol. 29, pp. 344. [28] Von Engle, A., (1965): “Ionized gases”, First (reprinted) edition, The Clarendon Press, (Oxford). [29] Bhagavat, G. K. and Nandedkar, D. P., (1968) “A new method of determining the electron density and collision frequency in plasma”, ‘International Journal of Electronics (London)’, Vol. 24, pp. 79. [30] Bhagavat G. K. and Nandedkar D. P., (1968): “Corrigendum to [29]”, ‘International Journal of Electronics (London)’, Vol. 25, pp. 200, 1968. [31] Bhagavat G. K. and Nandedkar D. P., (1968): “Corrigenda to, [29], [1] and [3]”, ‘International Journal of Electronics (London)’, Vol. 29, pp. 199, 1970. [32] Nandedkar D. P. and Bhagavat G. K., (1969 & 1970): “Corrigenda to, [5] and [8]”, ‘International Journal of Electronics (London)’, Vol. 29, pp. 199-200, 1970.