Simultaneous, multi-frequency, multi-beam antennas employing synchronous oscillator arrays

J. Cothern; T. Heath; G. Hopkins; R. Kerr; D. Lie; J. Lopez; B. Meadows

doi:10.1007/978-3-540-85632-0_33

Simultaneous, multi-frequency, multi-beam antennas employing synchronous oscillator arrays

J. Cothern, T. Heath, G. Hopkins, R. Kerr, D. Lie, J. Lopez, B. Meadows

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The theoretical foundations of coupled, nonlinear oscillator arrays as applied to beam forming have, almost exclusively, presumed the unit cells are well described by a Van der Pol oscillator model. In the past, a "weak" association was made between the spectral output of the differential-pair oscillator and that of an ideal Van der Pol oscillator. By applying the Method of Multiple Scales to the Van der Pol dynamical equations, one finds that only odd order harmonics are present. Moreover, one can determine the key Van der Pol parameters (i.e., the amplitude parameter, p, and nonlinearity parameter, μ) through the power contained in the first and third harmonics.

Original language	English
Title of host publication	Applications of Nonlinear Dynamics
Subtitle of host publication	Model and Design of Complex Systems
Pages	395-401
Number of pages	7
DOIs	https://doi.org/10.1007/978-3-540-85632-0_33
State	Published - 2009

Publication series

Name	Understanding Complex Systems
Volume	2009
ISSN (Print)	1860-0832
ISSN (Electronic)	1860-0840

Access to Document

10.1007/978-3-540-85632-0_33

Link to publication in Scopus

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Simultaneous, multi-frequency, multi-beam antennas employing synchronous oscillator arrays. / Cothern, J.; Heath, T.; Hopkins, G.; Kerr, R.; Lie, D.; Lopez, J.; Meadows, B.

Applications of Nonlinear Dynamics: Model and Design of Complex Systems. 2009. p. 395-401 (Understanding Complex Systems; Vol. 2009).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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T1 - Simultaneous, multi-frequency, multi-beam antennas employing synchronous oscillator arrays

AU - Cothern, J.

AU - Heath, T.

AU - Hopkins, G.

AU - Kerr, R.

AU - Lie, D.

AU - Lopez, J.

AU - Meadows, B.

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