NONLINEAR INTERACTION OF AN ELECTROMAGNETIC WAVE WITH A PLASMA LAYER IN THE PRESENCE OF A STATIC MAGNETIC FIELD. II. HIGHER HARMONICS AND A NONLINEAR PROPAGATION THEORY

Journal Article · Thu Mar 01 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys.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.125.1478· OSTI ID:4798987

Whitmer, R F; Barrett, E B

A discussion is given of the properties of the third- and fourth- harmonic waves generated within a plasma layer. The conv-ersion loss for the hth harmonic is presented. Conditions for the validity of the small-signal analysis are derived. Also, a technique for using the harmonics as a means of measuring the plasma parameters is presented. A method is given for reiterating the general solution for the field at the hth harmonic. This reiteration procedure extends the range of validity of the small-signal analysis and also allows the determination of a correction to the field at the fundamental frequency. This correction takes into account the effects of the nonlinear terms, in the Boltzmann transport equation, on propagation phenomena. A discussion is given of the corrected field as a function of the plasma parameters. Under certain conditions the correction can be as large as 50%. (auth)

• Research Organization: General Telephone and Electronics Labs., Palo Alto, Calif.
• NSA Number: NSA-16-014180
• OSTI ID: 4798987
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 125; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOLTZMANN EQUATION
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
ELECTROMAGNETIC WAVES
ERRORS
FOURIER ANALYSIS
FREQUENCY
HARMONIC ANALYSIS
INTERACTIONS
LAYERS
LOSSES
MAGNETIC FIELDS
MATHEMATICS
NONLINEAR PROBLEMS
OSCILLATIONS
PHYSICS
PLASMA
SIGNALS
TRANSPORT THEORY