J-mark JI402 Driver
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J-mark JI402 Driver
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Release J-mark JI402 subject report to the general public is prohibited by the International Traffic In Arms Regulation. This technical report has been reviewed and is approved. The local propagation constants of the basic modes of propagation are discussed. A computer program for the evaluation of these constants with given ionospheric properties is given. A unified matrix-operator transform method for investigation of the excitation and propgation of disturbances J-mark JI402 an ionized medium is proposed.
Towards describing these phenomena, the contractor has applied matrix-operator techniques and developed generalized formulations applicable to a wide range of associated problems. However, particular J-mark JI402 though noted and discussed are not resolved.
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The report significance is based on its scope rather than J-mark JI402 detailed calculations. As indicated, the problem types are as broad as possible and the mathematical techniques powerful.
However, the formulations are limited to linear macroscopic conditions. The significance of the contractor' s results is that while little J-mark JI402 physics is introduced in this report, the mathematical bases for several important problem classes have been developed. J-mark JI402
Recognizing that the ionosphere J-mark JI402 a complicated physical system such that the eventual solution of the problem has to rely heavily on approximate, numerical calculations, the primary efforts of our investigation were devoted to the choice of a model, the investigation J-mark JI402 techniques that may yield the solution to the problem directly, and the solution of some idealized problems which may allow some J-mark JI402 into the validity of a particular approach or which may yield results useful to the eventual solution of the complete problem.
The model of the ionosphere is taken as a three-fluid plasma containing ions, electrons and neutral particles whose density, temperature and average mass are known.
The problem is formulated mathematically by linearizing the coupled hydrodynamic and Maxwell equations. In order to clarify the approximations involved J-mark JI402 the use of these equations, they are deduced from the Maxwell-Boltzmann equation in Chapter II. The basic modes of propagation in the three-fluid plasma are J-mark JI402 in Chapter III.
It is found that if all the coupling effects are included, the propagation constants in a homogeneous medium satisfy a tenth order algebraic equation. The basic properties of these waves are introduced through the J-mark JI402 of degenerate cases. J-mark JI402
Based J-mark JI402 collected published data on the ionosphere Appendix Apropagation constants were evaluated by use of a digital computer, for several discrete angular frequencies and directions 1 of propagation, corresponding to an altitude of J-mark JI402. The results of the computations are presented in Section 3. Due to a lack of time and funds, similar calculations were not made at other altitudes.
The computer program used in the calculations is discussed in Appendix B. A generalized operator transform approach was formulated as a unified approach to J-mark JI402 problem of the excitation and propagation of J-mark JI402 in ionized media. This method, valid in principle for both homogeneous and inhomogeneous media, reduces the mathematical problem to that of solving a generalized integral equation in transform space.
For homogeneous media, analytical solutions are possible.
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Some new results on the solution of the excitation problem in a homogeneous electron plasma have been presented by Wu in a J-mark JI402 report. A general discussion of the application of this approach to excitation problems in inhomogeneous media is given in Section 7. The excitation problem in a bounded two-fluid plasma is considered in Section VI, using the conventional methods of orthogonal J-mark JI402.
The formal solution of the fields excited in the plasma by a J-mark JI402 source above a conducting J-mark JI402 and sphere is obtained in a form suitable for numerical integration. Based on the assumption that the solution to the excitation problem in a homogeneous medium may be used near the source even in an inhomogeneous medium, the effect of the inhomogeneity on wave propagation is investigated in Section VII.
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Conventional ray theory, the technique of invariant embedding and the reflection and refraction of waves at a discontinuity, is formulated for an electron plasma. A novel approach, using Kron's method of large system analysis, is investigated in Appendix C. All of these methods, in principle, may be extended to more J-mark JI402 problems. However, the feasibility of obtaining numerical solutions by these methods remains J-mark JI402 be tested.