An Optical Fiber Mode-Locked Figure Eight Laser

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							An Optical Fiber Mode-Locked Figure Eight Laser
              K-State Physics REU
                   Daniel Nickel
                Mentor: Brian Washburn
                   Overview

•   Mode locked lasers
     – Produce soliton-like pulses
•   The soliton
     – The optical soliton
         Dispersion
         Self-phase modulation
•   The figure eight laser
     – Description
     – Principles of operation
     – Results
    Pulse Train from a Mode-Locked Laser




       Gain
                S D
                A C

DC = Dispersion Compensation
SA = Saturable Absorber
                          The Soliton

•   First Observation
     – John Scott Russell, 1834
     – Deemed the “Wave of Translation”




      Photos courtesy of www.amath.washington.edu/~bernard/kp/waterwaves
               The Optical Soliton

•   F8L produces soliton-like pulses

•   Balance between Self-Phase Modulation (SPM)
    and Dispersion
           1




         0.8        sech2
         0.6




         0.4




         0.2




           0

               -4       -2   0   2     4
                 Material Dispersion

    Characterized by the mode propagation constant:

                              1 d m
       n( )   ( )  0           (  0 ) m
                             m m! d
                                     m
            c

• Positive (normal)
     – High frequencies: slow
     – Low frequencies: fast
•   Negative (anomalous)
     – High frequencies: fast
     – Low frequencies: slow
                                                     Temporal Spreading


                     1.0                                                                                                             1.0




                                                                                                                                                                                                     Temporal Phase (radians)
                                                                                     Temporal Phase (radians)
                                                                               1.0                                                                                                             1.0
Temporal Intensity




                                                                                                                Temporal Intensity
                     0.8                                                                                                             0.8
                                                                               0.5                                                                                                             0.5
                            (a)                                                                                                             (b)
                     0.6                                                                                                             0.6
                                                                               0.0                                                                                                             0.0

                     0.4                                                                                                             0.4
                                                                               -0.5                                                                                                            -0.5

                     0.2                         Intensity                     -1.0                                                  0.2
                                                                                                                                                                 Intensity                     -1.0
                                                 Phase                                                                                                           Phase
                     0.0                                                                                                             0.0
                           -400 -300 -200 -100   0   100     200   300   400                                                               -400 -300 -200 -100   0   100     200   300   400
                                            Time (fs)                                                                                                       Time (fs)


                                         d                                                                                                           d
                                            0                                                                                                            finite
                                         dt                                                                                                           dt
           Self-Phase Modulation


  Arises from the
 Optical Kerr Effect

n( I )  n0  n2 I
                        d
Leading edge shifts
to lower frequencies    dt
Trailing edge shifts
to higher frequencies

      Net negative dispersion needed in F8L
             cavity to form solitons
            The Figure Eight Laser


                               980 nm pump

                  PC             Er fiber
      isolator
      isolator


                       50/50     NALM
                   50/50
                                 PC
                 PZT

                   Output
NALM: nonlinear amplifying loop mirror
          The Optical Coupler (50/50)

      Beamsplitter                 Directional Coupler
            b2                     a1                     b1
   a1                     b1

                  a2               a2                      b2
Both 4 port devices
Coupler needs a π phase difference between pulses to completely
switch out of one port
 Nonlinear Loop Mirror: Linear Operation




          A                PC
           PC

         50/50
                            Gain
          B
Linear Operation:
 No phase shift between interferometer arms
   Nonlinear Loop Mirror: Nonlinear Operation




            A             PC
             PC

          50/50
                           Gain
            B
Nonlinear Operation:
      Phase Difference:   n2 (G  1) I (t ) L
    Building the Figure Eight Laser

•   Fiber length requirements
     – Net negative (anomalous) dispersion
     – NALM π phase shift
•   Fiber splicing using arc fusion splicer
     – Spliced fibers and components together
     – Spliced fiber that the polarization
       controllers broke
•   Mode-locking
     – Many days of manipulating the PC’s until
       sech2 shaped spectrum appeared
                              Results

• Mode-locked Operation
    – Inherently Stable                               1.0
                                                                       Spectral FWHM : 12.9 nm

    – Tunable




                               Normalized Intensity
                                                      0.8

                                                      0.6
Center Wavelength = 1567 nm
                                                      0.4
Bandwidth (FWHM)= 12.9 nm
                                                      0.2


Repetition Rate= 57.753 MHz                           0.0

Power = 10 mW                                          1540 1550 1560 1570 1580 1590 1600
                                                                  Wavelength (nm)



                                                            Kelly Sidebands


                                 Results

• Nearly transform-limited
      pulses                                              1.0                      AC FWHM : 322 fs
                                                                                       2
                                                                                   Sech FWHM : 209 fs
       – Shortest possible




                                   Normalized Intensity
         pulse with the given                             0.8
         bandwidth
       – From the uncertainty                             0.6
         principle
                                                          0.4
     Transform limited pulse:                             0.2
        t  0.315                                      0.0
          for   sech2   pulses
                                                           -600   -400   -200   0     200   400     600
     Our pulses:                                                           AC Delay (fs)

        t  0.329
                  What’s Next?

•   Amplification and compression to < 70 fs pulses

                      Amplifier

             LD                          LD
     from
     EDFL

           SMF            EDF           SMF
         section 1                    section 2
                   Thanks for your time.




References:
1.   I. Duling III, Opt. Lett. 16, 539 (1991)
2.   M.E. Fermann, F. Haberl, M. Hofer, and H. Hochreiter, Opt. Lett. 15,
     752 (1990)

						
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