JavaScript is disabled for your browser. Some features of this site may not work without it.
  • About K
  • Academics
  • Admission
  • Alumni Relations
  • Giving to K
  • News & Events
  • Student Life
  • HORNET HIVE
  • ATHLETICS
  • SITEMAP
  • WEBMAIL
    • Login
    View Item 
    •   CACHE Homepage
    • Academic Departments, Programs, and SIPs
    • Physics
    • Physics Senior Integrated Projects
    • View Item
    •   CACHE Homepage
    • Academic Departments, Programs, and SIPs
    • Physics
    • Physics Senior Integrated Projects
    • View Item

    Semiconductor Laser Arrays: Phase-Locked Solutions and their Stability

    Thumbnail
    View/Open
    Nonprintable PDF - Kalamazoo College Only (2.771Mb)
    Date
    1993
    Author
    Seabold, Danielle
    Metadata
    Show full item record
    Abstract
    We have investigated the dynamic behavior of semiconductor laser arrays with evanescent coupling. Arrays of semiconductor lasers are capable of operating with high output powers and may therefore be useful in such areas as free-space communications, high-speed printing, and high-speed optical recording. In order to produce the single and narrow beam that is necessary for applications, the array must operate in phase. Consequently, the ability to analyze and theoretically predict the response of coupled lasers is critical for the further development of the technology. We have investigated the response 'of a system that models N (N arbitrary) lasers configured in a ring geometry. The system consists of 3N coupled, firstorder, nonlinear, ordinary differential equations that describe the carrier density, amplitude and phase of the electric field for each laser element [9]. We have taken the coupling constant to be complex in order to consider the effect of a phase shift that is introduced as the electric field of one laser couples with another. In particular, we have obtained analytical expreSSions for the steady state solutions and determined the stability of those solutions. We have also explained the loss of stability as resulting from a Hopf bifurcation. The analysis has been carried out for general parameter values using perturbation techniques [2]. In addition, we have explored particular parameter regimes numerically with the help of the program AUTO [8] designed to identify and track steady state and periodic solution branches.
    URI
    http://hdl.handle.net/10920/6039
    Collections
    • Mathematics Senior Integrated Projects [270]
    • Physics Senior Integrated Projects [329]

    Browse

    All of CACHECommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Login

    DSpace software copyright © 2002-2023  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV
    Logo

    Kalamazoo College
    1200 Academy Street
    Kalamazoo Michigan 49006-3295
    USA
    Info 269-337-7000
    Admission 1-800-253-3602

    About K
    Academics
    Admission
    Alumni Relations
    Giving to K
    News & Events
    Student Life
    Sitemap
    Map & Directions
    Contacts
    Directories
    Nondiscrimination Policy
    Consumer Information
    Official disclaimer
    Search this site


    Academic Calendars
    Apply
    Bookstore
    Crisis Response
    Employment
    Library
    Registrar
    DSpace Express is a service operated by 
    Atmire NV