Analysis of injection-locked antenna array including mutual coupling effects

In this paper, the injection locking performance analysis of dipole antenna array with each element loaded with a two-terminal oscillator is presented. The analysis is based on the nonlinear model of oscillator and the linear model of antenna array considering mutual coupling effects. The locking range of injection signal and the array radiated power are obtained by solving an equivalent multiport network. In general, the solutions include stable and unstable solutions. The Routh-Hurwitz stability criterion is then applied to remove the unstable solutions. Numerical results show that the array performance such as frequency locking range and radiated power by taking into account the array mutual coupling effects is quite different from that of an isolated antenna element. In addition, the influence of antenna element spacing upon array locking parameters in this paper is found to be consistent with other existing theories.

[1]  John Litva,et al.  A new active array module for spatial power combiners and active antennas , 1995 .

[2]  Visarath In,et al.  Nonlinear antenna technology , 2002, Proc. IEEE.

[3]  David B. Rutledge,et al.  Planar MESFET grid oscillators using gate feedback , 1992 .

[4]  R. C. Compton,et al.  Measurement and modelling of radiative coupling in oscillator arrays , 1993 .

[5]  T. Itoh,et al.  Injection- and phase-locking techniques for beam control [antenna arrays] , 1998 .

[6]  G.H.B. Hansson,et al.  Stability Criteria for Phase-Locked Oscillators , 1972 .

[7]  K.D. Stephan,et al.  Inter-Injection-Locked Oscillators with Applications to Spatial Power Combining and Phased Arrays , 1986, 1986 IEEE MTT-S International Microwave Symposium Digest.

[8]  Robert A. York,et al.  Oscillator array dynamics with broadband N-port coupling networks , 1994 .

[9]  Robert A. York,et al.  A continuum model of the dynamics of coupled oscillator arrays for phase-shifterless beam scanning , 1999 .

[10]  Robert A. York,et al.  Influence of the oscillator equivalent circuit on the stable modes of parallel-coupled oscillators , 1997 .

[11]  Robert A. York,et al.  A new phase-shifterless beam-scanning technique using arrays of coupled oscillators , 1993 .

[12]  Tah-Hsiung Chu,et al.  Analysis of MESFET injection-locked oscillators in fundamental mode of operation , 1994 .

[13]  R. P. Scaramastra,et al.  A seven-element S-band coupled-oscillator controlled agile-beam phased array , 2000 .

[14]  Tatsuo Itoh,et al.  Mode analysis and stabilization of a spatial power combining array with strongly coupled oscillators , 1993 .

[15]  Tatsuo Itoh,et al.  A 16 element quasi-optical FET oscillator power combining array with external injection locking , 1992 .

[16]  Kun-Chou Lee Genetic algorithms based analyses of nonlinearly loaded antenna arrays including mutual coupling effects , 2003 .

[17]  Kun-Chou Lee Analysis of large nonlinearly loaded antenna arrays under multitone excitation , 2000 .

[18]  V. Nalbandian,et al.  Millimeter-Wave Power Combiner Using Quasi-Optical Techniques , 1983 .

[19]  K. Stephan,et al.  Analysis of interinjection-locked oscillators for integrated phased arrays , 1987 .

[20]  T. Tanaka,et al.  Millimeter and submillimeter wave quasi-optical oscillator with multi-elements , 1990, IEEE International Digest on Microwave Symposium.

[21]  Kun-Chou Lee Two efficient algorithms for the analyses of a nonlinearly loaded antenna and antenna array in the frequency domain , 2000 .

[22]  A. Pance,et al.  Microwave modeling of 2-D active grid antenna arrays , 1993 .

[23]  Robert A. York,et al.  Continuum modeling of the dynamics of externally injection-locked coupled oscillator arrays , 1999 .

[24]  Robert A. York,et al.  Nonlinear analysis of phase relationships in quasi-optical oscillator arrays , 1993 .

[25]  C. D. Parker,et al.  A quasioptically stabilized resonant-tunneling-diode oscillator for the millimeter- and submillimeter-wave regions , 1992 .

[26]  Analysis of nonlinearly loaded antenna array using the reflection algorithm , 2000, IEEE Antennas and Propagation Society International Symposium. Transmitting Waves of Progress to the Next Millennium. 2000 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (C.

[27]  Robert M. Weikle,et al.  A 100-MESFET planar grid oscillator , 1991 .

[28]  Tah-Hsiung Chu,et al.  Radiating and scattering analyses of a slot-coupled patch antenna loaded with a MESFET oscillator , 1995 .

[29]  K. A. Hummer,et al.  Experiments on injection locking of active antenna elements for active phased arrays and spatial power combiners , 1989 .

[30]  Z.B. Popovic,et al.  A 100-transistor quadruple grid oscillator , 1994, IEEE Microwave and Guided Wave Letters.

[31]  J. W. Mink,et al.  Quasi-Optical Power Combining of Solid-State Millimeter-Wave Sources , 1986 .

[32]  R. C. Compton,et al.  Quasi-optical power combining using mutually synchronized oscillator arrays , 1991 .