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Continuum modelling of a circular planar array of coupled microwave oscillators

Tooni, S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1109/EUMC.2009.5296373
  3. Abstract:
  4. in this paper the phase distribution in an array of coupled oscillators arranged on a circular surface is discussed. Coupling is considered to be weak and each oscillator is coupled to its four nearest neighbours. In a continuum limit where the number of oscillators goes to infinity a theoretical formulation in polar coordinates is proposed to describe the dynamic behaviour of phases of the array elements. A Green's function for phase distribution of the array is proposed in terms of its normalized eigenfunctions. Beam steering can be done via detuning the edge oscillators. © 2009 EuMA
  5. Keywords:
  6. Array elements ; Beam-steering ; Circular surfaces ; Continuum limits ; Coupled oscillators ; Detunings ; Dynamic behaviours ; Eigen function ; Nearest neighbour ; Phase distribution ; Planar arrays ; Polar coordinate ; Theoretical formulation ; Continuum mechanics ; Differential equations ; Eigenvalues and eigenfunctions ; Green's function ; Microwaves ; Oscillators (mechanical) ; Microwave oscillators
  7. Source: European Microwave Week 2009, EuMW 2009: Science, Progress and Quality at Radiofrequencies, Conference Proceedings - 39th European Microwave Conference, EuMC 2009, 28 September 2009 through 2 October 2009, Rome ; 2009 , Pages 1349-1352 ; 9782874870118 (ISBN)
  8. URL: http://ieeexplore.ieee.org/document/5296373