Abstract
A study is made of the radiation from a pulsed loop antenna immersed in a cold collisionless magnetoplasma. Using a rigorous solution for the total field of such an antenna, the energy characteristics of its radiation are determined. The radiated energy and its distribution over the spatial and frequency spectra of the excited waves are analyzed as functions of the antenna and plasma parameters. Numerical results referring to the case where the frequency spectrum of the antennacurrent is concentrated in the whistler frequency range are reported. The results obtained can be useful in understanding the basic features of wave excitation by pulsed sources in a magnetoplasma.
This work was supported by the Government of the Russian Federation (Contract No. 11.G34.31.0048), the Russian Foundation for Basic Research (Project No. 12–02–00747a), the Russian Federal Program “Scientific and Education Personnel of the Innovative Russia” (Contract Nos. P313 and 02.740.11.0565), and the EU 7th FP (Grant Agreement Nos. 263218 and 263240). The first author also acknowledges partial support from the Greek Ministry of Education under the project THALIS (RF–EIGEN–SDR).
I. INTRODUCTION
II. FORMULATION OF THE PROBLEM AND BASIC EQUATIONS
III. ENERGY RADIATED
IV. NUMERICAL CALCULATION OF THE RADIATIONCHARACTERISTICS
A. Regions of integration
B. Numerical results and discussion
V. CONCLUSIONS
Key Topics
 Antennas
 39.0
 Whistler waves
 23.0
 Plasma waves
 16.0
 Plasma sources
 10.0
 Ionospheric plasmas
 9.0
Figures
Schematic diagram showing the regions where (a) is real and (b) is real (not to scale).
Schematic diagram showing the regions where (a) is real and (b) is real (not to scale).
Function , measured in J A^{−2} s, in the case of time dependence (24) with (a) n = 1, (b) n = 5, and (c) n = 10 for , b = 1 m, , , and .
Function , measured in J A^{−2} s, in the case of time dependence (24) with (a) n = 1, (b) n = 5, and (c) n = 10 for , b = 1 m, , , and .
The same as in Fig. 2, but for time dependence (27) with .
The same as in Fig. 2, but for time dependence (27) with .
Function for time dependence (24) with n = 1, n = 2, and n = 10 (curves 1, 2, and 3, respectively) and for time dependence (27) with (curve 4). The data for n = 2 and n = 10 are reduced by multiplying by 0.3 and 0.015, respectively. The red dot on the horizontal axis designates the frequency . The frequency , the source radius b, and the plasma parameters are the same as in Fig. 2.
Function for time dependence (24) with n = 1, n = 2, and n = 10 (curves 1, 2, and 3, respectively) and for time dependence (27) with (curve 4). The data for n = 2 and n = 10 are reduced by multiplying by 0.3 and 0.015, respectively. The red dot on the horizontal axis designates the frequency . The frequency , the source radius b, and the plasma parameters are the same as in Fig. 2.
The same as in Fig. 4, but for . The data for n = 2 and n = 10 (curves 2 and 3, respectively) are reduced by multiplying by 0.3 and 0.02, respectively.
The same as in Fig. 4, but for . The data for n = 2 and n = 10 (curves 2 and 3, respectively) are reduced by multiplying by 0.3 and 0.02, respectively.
Total energy radiated from a source with time dependence (24) for various values of the parameter (circles) and from a source with time dependence (27) for (squares). As the characteristic duration of the latter source, the quantity is adopted. The open and closed symbols correspond to and , respectively. The dashed strait lines show the energy radiated from a timeharmonic source at the corresponding frequency . The data for are increased by a factor of 5. The same source radius b and plasma parameters as in Fig. 2.
Total energy radiated from a source with time dependence (24) for various values of the parameter (circles) and from a source with time dependence (27) for (squares). As the characteristic duration of the latter source, the quantity is adopted. The open and closed symbols correspond to and , respectively. The dashed strait lines show the energy radiated from a timeharmonic source at the corresponding frequency . The data for are increased by a factor of 5. The same source radius b and plasma parameters as in Fig. 2.
Function for time dependence (24) with n = 1, n = 5, and n = 12 (curves 1, 2, and 3, respectively) at . The data referring to n = 1 and n = 12 for are multiplied by 5 and 2.5, respectively. The data for are increased by a factor of 10^{4} for all values of n. The red dot on the horizontal axis designates the frequency . The same source radius and plasma parameters as in Fig. 2.
Function for time dependence (24) with n = 1, n = 5, and n = 12 (curves 1, 2, and 3, respectively) at . The data referring to n = 1 and n = 12 for are multiplied by 5 and 2.5, respectively. The data for are increased by a factor of 10^{4} for all values of n. The red dot on the horizontal axis designates the frequency . The same source radius and plasma parameters as in Fig. 2.
Total energy radiated from a source with time dependence (24) for various values of the parameter (circles) at . The same source radius and plasma parameters as in Fig. 2.
Total energy radiated from a source with time dependence (24) for various values of the parameter (circles) at . The same source radius and plasma parameters as in Fig. 2.
Function for time dependence (24) with n = 2 and n = 10 (curves 1 and 2, respectively) at . The same notations, source radius, and plasma parameters as in Fig. 7.
Function for time dependence (24) with n = 2 and n = 10 (curves 1 and 2, respectively) at . The same notations, source radius, and plasma parameters as in Fig. 7.
The same as in Fig. 8, but for .
The same as in Fig. 8, but for .
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