Page 173 - An Introduction to Microelectromechanical Systems Engineering
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152                                   MEM Structures and Systems in Photonic Applications

                                        Wavelength (nm)
                         1,540.545 1,540.386 1,540.228 1,540.070 1,539.912 1,539.753
                        1.0
                                  Transmission peak
                        0.9
                                      ITU grid
                        0.8
                       )
                       T(λ  0.7        FSR                                   1
                       transmission  0.6                           T() = 1 + (2 / ) sin (  λ n  )
                                                                    λ
                                                                                 2 2π d
                                                                              2
                                                                           F π
                         0.5
                                                                          1/2
                                                                        πr
                       Etalon  0.4              Locking              F =  1 − r  is the finesse
                        0.3
                                                point
                        0.2
                         0.1
                          0
                          194.6  194.62  194.64  194.66  194.68  194.7
                                         Frequency (THz)
                                              (a)






                        Peak-synchronous detection  Edge-locking detection
                                              (b)
                 Figure 5.12  (a) The transmission function of an example etalon in the infrared spectrum showing
                 the transmission peaks relative to the ITU grid. When calibrated, the FSR matches the periodicity of
                 the ITU grid. The transmission peaks become narrower and sharper with increasing finesse (higher
                 mirror reflectivity). (b) The laser can be locked to the etalon’s transmission function using
                 peak-synchronous detection (locking to the peak) or edge-locking detection (locking to a
                 predetermined intensity level).


                 frequency (or wavelength), its transmission peaks (equivalent to the marks on a
                 ruler) must be calibrated and insensitive to temperature and process variations. It is
                 the fabrication of an etalon that is complex and requires great diligence.
                    A basic wavelength locker consists of a beam splitter, a Fabry-Perot etalon, and
                 two detectors. An incident light beam is divided into two optical beams. The first
                 one travels through a calibrated etalon, and its intensity is measured by a first detec-
                 tor. The second beam is directly detected by a second detector and serves as an inten-
                 sity reference. The differential analysis serves to eliminate the effect of any power
                 fluctuations in the laser diode itself on the wavelength measurement. The transmis-
                 sion function of the etalon maps any wavelength changes in the incident beam to an
                 intensity change that is measured by the detectors. An electronic control loop takes
                 the differential error signal between the two detectors as input and closes the loop to
                 the laser control circuitry to lock its output wavelength to a predetermined value.
                 Depending on the design of the electronic circuitry, the locking can be peak synchro-
                 nous (locking to the transmission peaks) or edge level (locking to a predetermined
                 intensity level) [see Figure 5.12(b)]. The latter locking method is common because
                 the high slope at the locking point results in a large change in intensity for a small
                 change in wavelength (or frequency), typically 2% to 7% per GHz [28].
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