Simulation of the Single Ring Resonator Based on the Z-Transform Method Theory

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The theoretical and simulation study of the single ring resonator has been presented. The Z-transform method can be used to derive the theory of the ring resonator, where results based on the presented equations are simulated. The intensity power of the system could be derived and simulated successfully. The chaotic signals can be generated within the system when the Gaussian pulse with input power of 120 W is inserted into the system. Generation of chaotic signals respect to the parameter of the system such as the ring’s radius has been studied. The coupling coefficient affects the output power significantly, thus in order to generate signals with higher output power, the smaller coupling coefficient is recommended. Here the output power of the system is characterized with respect to the different coupling coefficients of the system.

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Copyright © 2014 American Scientiﬁc Publishers
All rights reserved
Printed in the United States of America
R E S E A R C H A R T I C L E
Quantum Matter
Vol. 3, 1–4, 2014
Simulation of the Single Ring Resonator Based on
the Z-Transform Method Theory
I. S. Amiri∗
and J. Ali
Institute of Advanced Photonics Science, EsciNano Research Alliance,
University Teknologi Malaysia (UTM), 81300 Johor Bahru, Malaysia
The theoretical and simulation study of the single ring resonator has been presented. The Z-transform method
can be used to derive the theory of the ring resonator, where results based on the presented equations are
simulated. The intensity power of the system could be derived and simulated successfully. The chaotic signals
can be generated within the system when the Gaussian pulse with input power of 120 W is inserted into the
system. Generation of chaotic signals respect to the parameter of the system such as the ring’s radius has been
studied. The coupling coefﬁcient affects the output power signiﬁcantly, thus in order to generate signals with
higher output power, the smaller coupling coefﬁcient is recommended. Here the output power of the system is
characterized with respect to the different coupling coefﬁcients of the system.
Keywords: Microring Resonator, Z-Transform Method, Chaotic Signals, Coupling Coefﬁcients.
1. INTRODUCTION
∗
Author to whom correspondence should be addressed.
2. THE Z-TRANSFORM DESCRIPTION
Quantum Matter Vol. 3, No. 6, 2014 2164-7615/2014/3/001/004 doi:10.1166/qm.2014.1157 1

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