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4.3. Fast Electro-optic Switches: Modulators  221

       and theoretical investigations have been presented in numerous publications.
       Considerable attention has been paid to increasing the modulation bandwidth
       of diode lasers. In this section, we discuss the factors that limit the modulation
       bandwidth of diode lasers.

          4.3.1.1. Small-Signal Modulation Response

          When the modulation depths of the drive current and optical output are
       substantially less than 1, we call this small-signal modulation. A simplified
       two-port model of a high-speed diode laser [18] can be used to study
       small-signal modulation response. The laser model is shown in Fig. 4.17. The
       laser is divided into three subsections: (1) the package (or mount) parasitics;
       (2) the parasitics associated with the laser chip; and (3) the intrinsic laser. The
       modulating drive current is time dependent, and is in the form of I(t) =
       7 0 + I mf p(t), where / 0 is the bias current, I m is the magnitude of the modulating
       current, and f p(t) is the shape of the current pule. This current will affect the
       output optical power P and the frequency chirp Av(?) which describe the
       variation of the laser frequency due to modulation. Parasitics associated with
       the package include bond-wire inductance and capacitance between the input
       terminals. These parasitics can be substantially decreased by the monolithic
       integration of the laser with its drive circuitry. Chip parasitics include resis-
       tance associated with the semiconductor material surrounding the active region
       and stray capacitance. The package parasitics are considered to be linear
       circuit elements, while the chip parasitics are nonlinear with values depending
       on the input current. In the frequency domain, parasitics cause a high-
       frequency roll-off in the small-signal response. In the time domain, parasitics
       result in a slowing-down of fast transients of the drive current waveform. The
       dynamic response of the overall laser is a combination of the responses of the
       parasitics and the intrinsic laser.
          (a) Bandwidth limit due to intrinsic laser: Let us first consider the dynamic
       response of the intrinsic laser. A considerable amount of information can be



             Input                 Parasitics           Drive
             Current I                                  Current

          O
                          Package     j  cl »P

          O                                                        Laser
                                                                   output

                         Fig. 4.17. A two-port model of a laser diode.
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