NONLINEAR INTERACTION OF AN ELECTROMAGNETIC WAVE WITH A PLASMA LAYER IN THE PRESENCE OF A STATIC MAGNETIC FIELD. I. THEORY OF HARMONIC GENERATION

Journal Article · Wed Feb 01 00:00:00 EST 1961 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.121.661· OSTI ID:4093473

Whitmer, R F; Barrett, E B

The theory of electromagnetic wave propagation through an anisotropic ionized layer, including the effects of the nonlinear terms in the Boltzmann transport equation, is presented. The method of solution of the nonlinear equations involves an expansion of all of the dependent variables in a Fourier series in time. The differential equations describing wave propagation were solved, for each frequency in the series, for plane wave propagation, including all of the reflections within the plasma layer. A solution in closed form was obtained, under small signal conditions, for the field at the hth harmonic in the Fourier series. A discussion of the properties of the wave at the second harmonic frequency as a function of the d-c magnetic field strength, the electron density, the electron-neutral particle collision frequency, the field strength of the incident wave, and the thickness of the plasma layer is given. (auth)

• Research Organization: General Telephone and Electronics Labs., Palo Alto, Calif.
• NSA Number: NSA-15-010238
• OSTI ID: 4093473
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Vol. Vol: 121; Other Information: Orig. Receipt Date: 31-DEC-61
• Country of Publication: Country unknown/Code not available
• Language: English

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