J. Chakravorty ¹, S. Sarkar ², B. C. Sarkar ¹

Affiliations
1 Department of Physics, The University of Burdwan, Golapbag, Burdwan-713104, West Bengal, IN
2 Department of Electronics, Burdwan Raj College, Burdwan-713104, West Bengal, IN

Abstract

The dynamics of bilaterally coupled Gunn oscillator driven by external periodic signal has been examined through numerical simulation and experimental observation. The coupling factors between the two oscillators in either path as well as the strength and frequency of the external periodic driving signals are key parameters to control the dynamics of Driven Bilaterally Coupled Gunn Oscillator (DBCGO) system. The numerical study explores the possibility of generation of controllable chaotic signals in DBCGO system. The present work also considers this method through a hardware experiment. For different set of coupling factors, driving signal strength and frequencies, chaotic oscillations are observed. Therefore, the DBCGO system with suitable couplings and driving signal conditions can be considered as a potential source of chaotic signals in microwave frequency range.

Keywords

Coupled System, Driven Oscillator, Gunn Diode, Microwave Chao

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B. C. Sarkar ¹, J. Chakraborty ¹, S. Sarkar ²

Affiliations
1 Department of Physics, The University of Burdwan, Golapbag, Burdwan-713104, West Bengal, IN
2 Department of Electronics, Burdwan Raj College, Burdwan-713104, West Bengal, IN

Abstract

Dynamics of a microwave (X band) Gunn oscillator in presence of a periodic forcing signal has been critically studied to explore the existence of chaos in the behavior of the driven Gunn oscillator (DGO). A broad band continuous spectrum is experimentally observed at the output of the DGO just at the verge of the synchronization band for certain strength and frequency of the forcing signal. For characterisation of the obtained broad band signal, time domain analysis of the frequency down converted DGO output is done and different chaos quantifiers like Maximum Lyapunov exponent and Correlation dimension are evaluated to confirm the chaotic mode of oscillations. Numerical simulation of the system equations also indicate that the dynamics of the DGO enters into a chaotic domain at these conditions.

Keywords

Driven System, Gunn Diode, Microwave Chaos, Synchronized Oscillator

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B. C. Sarkar ¹, M. Dandapathak ², S. Sarkar ³

Affiliations
1 1Department of Physics, University of Burdwan, Burdwan, West Bengal-713104, IN
2 2Department of Physics, Hooghly Mohsin College, Hooghly, West Bengal-712102, IN
3 3Department of Electronics, Burdwan Raj College, Burdwan, West Bengal-713104, IN

Abstract

Effects of package inductance and package capacitance on the behavior of microwave Gunn oscillator have been studied analytically and through numerical simulation. In the presence of package parasites the system equation is described by two coupled second order differential equations. Critical examination reveals that for a certain range of magnitudes of the package parasites relative to other device and circuit parameters the system dynamics can become chaotic. However, by the application of an external synchronizing signal of suitable frequency and power, the chaotic dynamics of the oscillator can be controlled. Results of numerical simulation closely agree with the analytical findings.

Keywords

Gunn Oscillator, Melnikov’s Function, Maximum Lyapunov Exponent, Microwave, Solid State Microwave Oscillator

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