Integrated Micro-Ring Photonics Integrated Micro-Ring Photonics Principles and Applications as Slow Light Devices, Soliton Generation and Optical Transmission Iraj Sadegh Amiri Photonics Research Centre,University of Malaya,Kuala Lumpur,Malaysia Abdolkarim Afreezeh The Department General of Fars Province Education,Iran Young Researchers and Elite Club, Jahrom Branch, Islamic Azad University, Jahrom,Iran Harith Ahmad Photonics Research Centre,University of Malaya,Kuala Lumpur,Malaysia CRCPress/BalkemaisanimprintoftheTaylor&FrancisGroup,aninformabusiness ©2017Taylor&FrancisGroup,London,UK TypesetbyMPSLimited,Chennai,India PrintedandboundinGreatBritainbyCPIGroup(UK)Ltd,Croydon,CR04YY Allrightsreserved.Nopartofthispublicationortheinformationcontained hereinmaybereproduced,storedinaretrievalsystem,ortransmittedinany formorbyanymeans,electronic,mechanical,byphotocopying,recordingor otherwise,withoutwrittenpriorpermissionfromthepublisher. Althoughallcareistakentoensureintegrityandthequalityofthispublication andtheinformationherein,noresponsibilityisassumedbythepublishersnor theauthorforanydamagetothepropertyorpersonsasaresultofoperation oruseofthispublicationand/ortheinformationcontainedherein. LibraryofCongressCataloging-in-PublicationData Appliedfor Publishedby: CRCPress/Balkema P.O.Box11320,2301EHLeiden,TheNetherlands e-mail:[email protected] www.crcpress.com–www.taylorandfrancis.com ISBN:978-1-138-02783-1(Hbk) ISBN:978-1-315-36421-6(eBook) Table of contents Preface ix Acknowledgements xi Listoffigures xiii Listoftables xvii 1 Solitonsignalspropagatinginfiberwaveguidesandslow lightgeneration 1 1.1 Fiberwaveguides 1 1.2 Opticalsoliton 1 1.3 Ringresonators 3 1.4 Applicationsofringresonatorsystems 3 1.5 Introductionofslowlight 6 1.6 Slowlight 7 1.7 Backgroundofslowlightgeneration 8 1.8 Problemstatement 8 1.9 Researchachievements 8 1.10 Scopeofresearch 9 1.11 Significanceofstudy 9 1.12 Historyofslowlightgeneration 10 1.13 Historyofslowlight 11 2 MRRsystemsandsolitonpropagatinginoptical fibercommunication 15 2.1 Solitonproperties 15 2.2 Evaluationofsolitonsignals 17 2.3 MRRusedtogeneratechaoticsignals 19 2.4 Resonancebandwidthofsoliton 22 2.5 Finesseofsoliton 22 2.6 FreeSpectralRange(FSR)ofsoliton 22 2.7 Qualityfactorofsoliton 23 2.8 Chaoticsolitonsignalgenerator 24 2.9 Add/Dropfiltersystem 25 2.10 Halfpandaringresonatorfunction 28 2.11 PANDAringresonators 30 vi Table of contents 2.12 Fibernonlinearities 33 2.13 Calculationofnonlinearrefractiveindex 34 2.14 NonlinearSchrödingerequation(NLSequation) 35 2.15 Temporalsoliton 37 2.16 Gaussianbeam 39 2.17 Dispersion 39 2.18 Groupvelocitydispersion 40 2.19 SelfPhaseModulation(SPM) 41 2.20 Chaoticphenomena 42 2.21 Kramers-Kronigrelations 42 2.22 Scatteringmatrixmethodforringresonator 43 2.23 Theoryofslowlight 43 2.24 Opticalbuffer 45 3 AnalysisofsingleMicro-RingResonators(MRR),add/dropfilter MRRandcascadedMRR 47 3.1 SingleMicro-RingResonator(MRR) 47 3.2 AnalysisofSingleMicro-RingResonator(SMRR) 47 3.3 Solitonroundtripandadd/dropsystem 49 3.4 Characteristicsoftheringresonator 51 3.5 FreeSpectralRange(FSR) 51 3.6 FullWidthatHalfMaximum(FWHM) 52 3.7 Finesse 52 3.8 Qualityfactor(Qfactor) 53 3.9 Groupvelocityandphasevelocity 53 3.10 SemiconductorcascadedMRRanalysisandcharacterization 54 3.10.1 IntroductionofopticalfiltersMRRs 54 3.11 TheoreticalbackgroundofcascadedMRRsystem 55 3.12 Phase and dispersion responses and group delay analysis of the cascadedMRRsystem 58 4 PhysicsandfabricationofMicro-RingResonator(MRR) structuredevices 63 4.1 Introduction 63 4.2 Physicalofmicro-ringresonators 65 5 Micro-ringmodulators 73 5.1 Introduction 73 5.2 Micro-ringusedasmodulator 74 5.3 Frequency-dependentmicro-ringtransmission 76 5.4 OpticalmodulatorbasedonMRRSintegratedwith Mach-ZehnderInterferometer(MZI) 76 6 Micro-RingResonator(MRR)inopticaltransmissionsystems 79 6.1 Micro-ringresonatorsystemsinopticalcommunicationsystems 79 6.2 TheoreticalbackgroundofsolitonpropagationinnonlinearKerr medium 80 6.3 Resultanddiscussion 81 Table of contents vii 7 Methodsofslowlightgeneration 87 7.1 Introduction 87 7.2 Dispersioninopticalwaveguide 89 7.3 Slowlightgenerationusingnonlinearwaveguide 90 7.4 Slowlightgenerationusinglinearwaveguide 94 7.5 Examineofdispersionwaveguides 96 7.6 Applications 99 8 Solitongenerationandtransmissioninopticalfiberlink 101 8.1 SolitonchaoticsignalgenerationusingtheMRRs 101 8.2 Singledarkandbrightsolitongeneration 102 8.3 Solitoncombgenerationusingtheadd/dropsystem 104 8.4 Add/dropfiltersystemincorporatingwithseriesof ringresonator 104 8.5 Ringresonatorsystemanalysistooptimizethesoliton transmission 110 8.6 Ringresonatorforcommunicationapplications 116 8.6.1 Systemsetup 119 8.6.2 Wimaxsignalgeneration 119 8.7 HighlychaoticsignalgenerationandtransmissionusingPANDA ringresonator 122 8.8 Darksolitongenerationandtweezerstransmissionusing fiberopticlink 124 8.9 Quantumentangledphotonsgenerationbytweezersand transmissionusingthewirelessaccesspointsystem 127 9 Conclusion 133 References 135 Appendices 155 Preface In this book, interferometric system of Micro-Ring Resonator (MRR) for chaotic signal generation using the fiber optic is presented. The introduction and theory of thesolitongenerationandpropagationinfiberopticsispresentedinchaptersoneand two. This MRR system can be incorporated with an optical add/drop filter system, whichconstitutesanefficientsystemtogeneratethesolitoncomb,whereithasseveral applications in optical communication. The filtering process of the chaotic signals occurs during the round-trip of the pulse within the ring resonators. The theory and analysisofthesingleMRR,add/dropMRRandcascadedMRRsispresentedinchapter three. The physics and fabrication of the MRR systems are presented in the chapter four. The MRRs used as optical modulators is presented in chapter five, and the application of MRR system in optical communication is presented in chapter sixth. Chaptersevenpresentsthetechniquesofgeneratingslowandfastpulseusingmicro- ringresonator.Heredifferentsemiconductormaterialsareexamined.Theslowlightis generatedinmicro-ringresonatorsystemswithbrightsolitonandGaussianpulseasan input.Thegenerationofslowlightisanalyzedmathematicallythroughthescattering matrixmethodandsimulatedbytheMATLABprogram.Thisapproachallowsforthe aspectsofthegeneratedoutput,thatbeinghigh-speedandmulti-channelmodulation using cascaded silicon micro-ring modulators, to be clearly shown. Also, this book contains comprehensive details of the optoelectronic components that comprise the feedback system, and their integration onto a single device using CMOS-compatible processes and materials. The slow light pulses generated in linear and nonlinear micro-ring resonator configurations are examined in terms of the effect of physical parameterssuchasringradius,numbersofring,coreareaandcouplercoefficientson the output pulse. Using the series of MRR connected to the add/drop MRR system, dark and bright soliton pulses possessing Full Width at Half Maximum (FWHM) and Free Spectral Range (FSR) of 10pm and 163pm respectively are generated, where generation of 83fs is obtained. The soliton pulse generation and bandwidth manipulation of the pulse is performed and analyzed using the MRR system. With theGaussianlaserinput,themulti-solitonswithFWHM=50pmandFSR=1440pm can be generated. Here, analysis of the FWHM is performed respect to variation of the MRR’s radius and coupling coefficient. As application in optical communication systems, soliton with FSR=6.66MHz can be generated and used as optical carriers tobemodulatedandtransmittedviaawired/wirelesssystem.UsingthePANDAMRR system, the input Gaussian laser pulses with power of 0.45W are inserted into the system.Thecentralwavelengthoftheinputpowerhasbeenselectedtoλ =1.55µm 0