Studies on Placement of Semiconductor Optical Amplifiers in Wavelength Division Multiplexed Star and Tree Topology Networks by Yatindra Nath Singh submitted in fulfilment of the requirement of degree of Doctor of Philosophy (Ph.D.) to Electrical Engineering Department Indian Institute of Technology, Delhi Hauz Khas, New Delhi 110016 India September 1996 Certificate This is to certify that the thesis entitled "Studies on Placement of Semiconductor Optical Amplifiers in Wavelength Division Multiplexed Star and Tree Topology Networks" being submitted by Mr. Yatindra Nath Singh to the Department of Electrical Engineering, Indian Institute of Technology, Delhi is the record of the bonafide research work carried out by him. He has worked under our supervision and guidance during the period December 1992 to August 1996. He has fulfilled all the requirements for submission of the thesis which has reached the requisite standard. The results contained in this thesis have not been submitted either in part or in full to any other university or institute for the award of any degree or diploma. (Prof. Hari Mohan Gupta) (Dr. Virander Kumar Jain) Thesis Supervisors Department of Electrical Engineering Indian Institute of Technology, Delhi Hauz Khas, New Delhi India i ii Acknowledgement I am highly indebted to my thesis supervisors Prof. Hari Mohan Gupta and Dr. Virander Kumar Jain for giving me the opportunity to work under their supervision. They had encouraged me in period of distress and anxiety and guided me to accomplish this research work. I must acknowledge the staff of optical communication laboratory, IIT Delhi (Mr. A. P. Thukral, Ms. Neeru Asija and Mr. J. P. Naudiyal) for their support and help during the research work. My parents had kept me free from my duties at home so that I can devote more time to my research work. I acknowledge them for their blessings and support. My friends Mr. Brejesh Lall and Mr. Bharat Gupta must also be acknowledged for their patience while listening to me about my research work and for their suggestions and encouragement. I sincerely thank all the persons who have helped and supported me directly or indirectly in the course of this research work. (Yatindra Nath Singh) iii iv Abstract This thesis is mainly concerned with the use of semiconductor optical amplifiers (SOAs) in wavelength division multiplexed (WDM) broadcast topologies viz. star and tree. The aim of investigations is to determine the increase in the number of users when SOAs are placed in the above topologies. Various placement options have been considered in the above investigations. Error correcting codes can also be used in optical networks to increase the number of users by improving the available power budget. Therefore, an on-off keying (OOK) communication system has been investigated with SOA as preamplifier and an error correcting code. The coding gain in the single channel point-to-point link has been computed. In this study, the baseband filter in the receiver is assumed to be optimum for uncoded system. Hence, the coding gain in the above includes the effect of increased intersymbol interference (ISI). It is compared with the gain obtained due to placement of SOA in the link. The suitability of SOA over coding has been discussed based on the above comparison. It is shown that SOA provides much higher gain than the use of error correcting code. A detailed study on the use of SOAs in WDM star topology is also carried out. Two schemes have been considered viz. SOAs as postamplifiers and preamplifiers. In the postamplifier scheme, SOAs are placed after the transmitter and in the preamplifier scheme beforethereceiver.In thepostamplifierscheme,threecaseshave been investigated.Firstcase corresponds to unsaturated SOAs, second to gain saturated SOAs and in third case effect of reflection noise is studied. Similarly, in the preamplifier case unsaturated SOAs, average gain v saturated SOAs with and without gain fluctuations have been considered. Further, reflection noise is considered as in postamplifier scheme. It is observed that for typical values of system parameters, SOAs as preamplifiers perform better than the postamplifiers. The study on placement of SOAs has been extended to WDM tree topology passive broadcast network i.e. WDM tree-net. The tree-net consists of star as main topology and folded bus as auxiliary topology. Star portion consists of a star coupler. A tree-net with b branches uses bxb star coupler. The SOAs can be placed in the star portion of the tree-net to increase the supportable number of users. However, the number of SOAs can be smaller than b to support the same number of users as in star. In this study unsaturated SOAs and average gain saturated SOAs with and without gain fluctuations have been considered. On comparison with star, it is observed that a tree-net can support more users than a star for a given number of SOAs. It is concluded that SOAs as preamplifiers perform better in star topology. When SOAs are used in tree topology, number of users supported can be more than in star. Further, the required number of SOAs would be lesser in tree than in star for a given number of users. vi Table of Contents List of Figures ix List of Tables xiii List of symbols xv Abbreviations xix Chapter 1 Introduction 1 1.1 Need for Optical Communications . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Fiber Optic Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Multiplexing Schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 WDM Broadcast Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.5 Thesis Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Chapter 2 Optical Amplifiers in Broadcast Networks 13 2.1 Optical Amplifiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.2 Optical Amplifiers in Broadcast Networks . . . . . . . . . . . . . . . . . . . . . 20 2.2.1 Bus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.2.2 Dual Bus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2.2.3 Ring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.2.4 Star . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Chapter 3 Semiconductor Optical Amplifier and Coding in OOK System 37 3.1 Uncoded System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.2 Coded System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 3.3 Uncoded System with Optical Amplifier . . . . . . . . . . . . . . . . . . . . . . 45 3.4 Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 3.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Chapter 4 Semiconductor Optical Amplifiers in WDM Star Topology 51 4.1 System Description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 4.2 Amplifier Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 4.3 Evaluation of Minimum Required Transmitter Power . . . . . . . . . . . . 56 4.4 Star without Amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 4.5 Star with Postamplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.5.1 Unsaturated Amplifiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.5.2 Effect of Gain Saturation . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 4.5.3 Effect of Reflection Noise . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 4.6 Star with Preamplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 4.6.1 Unsaturated Amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 vii 4.6.2 Effect of Gain Saturation . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 4.6.3 Effect of Reflection Noise . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 4.7 Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 4.8 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Chapter 5 Semiconductor Optical Amplifiers In WDM Tree-net 91 5.1 System Description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 5.2 Analytical Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 5.3 Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 5.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Chapter 6 Conclusions 109 References 113 Appendix - I 123 Appendix -II 129 viii List of Figures Fig.2-1 psds of (i) ASE-signal beat noise, (ii) ASE-ASE beat noise and (iii) ASE-shot noise components . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Fig.2-2 Forward pumped doped fiber amplifier . . . . . . . . . . . . . . . . . . . . . . 18 Fig.2-3 Optical amplifiers in bus topology. . . . . . . . . . . . . . . . . . . . . . . . . . 21 Fig.2-4 Dual bus network using fiber as point-to-point link. . . . . . . . . . . . . . 23 Fig.2-5a Schematic of non-regenerative photonic dual bus (NI is the node interface). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Fig.2-5b Node interface for head of the bus (node 1). . . . . . . . . . . . . . . . . . . . 24 Fig.2-5c Node interface for node 2 to N. . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Fig.2-6 Ring network with distributed EDFA. . . . . . . . . . . . . . . . . . . . . . . . 25 Fig.2-7 4x4 star coupler with single EDFA. . . . . . . . . . . . . . . . . . . . . . . . . . 27 Fig.2-8 8x8 coupler based on 4x4 star couplers. . . . . . . . . . . . . . . . . . . . . . . 27 Fig.2-9 Implementation of distributed N x N (N =m2) reflective star coupler u u u based on m number of m x m couplers. . . . . . . . . . . . . . . . . . . . . . . 28 Fig.2-10 16x16 distributed reflective star coupler. . . . . . . . . . . . . . . . . . . . . . 29 Fig.2-11 Implementation of distributed N x N (N = 2 m2) coupler based on 2m u u u number of mxm couplers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 Fig.2-12 32x32 distributed reflective star coupler. . . . . . . . . . . . . . . . . . . . . . 31 Fig.2-13 FDM/OFDM distributed expandable amplified star coupler configuration. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 Fig.2-14 Star coupler with amplifiers and without bandpass and bandstop filters. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Fig.2-15 8x1 coupler based on seven 2x2 couplers. . . . . . . . . . . . . . . . . . . . . 34 Fig.2-16 Forward pumped EDFA. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Fig.2-17 mm x mm reflective star. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 c c Fig.2-18 m x m reflective star coupler based on m x1 tree coupler. . . . . . . . . . 36 c c c Fig.3-1a The system block diagram for optical communication system with coding scheme. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Fig.3-1b ThesystemblockdiagramforopticalcommunicationsystemwithSOA as preamplifier. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Fig.3-2 Worst-case waveform patterns for (a) bit 1 and (b) bit 0 before and after the Gaussian filter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 ix
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