Page 41 - Photodetection and Measurement - Maximizing Performance in Optical Systems
P. 41

Amplified Detection Circuitry

            34   Chapter Two

                          +15V    +5V



                          PD
                                             R L
                                     R f

                                                        V o

                              R e

                        Figure 2.12 The highest speed transimpedance
                        amplifiers are often simple circuits made
                        with heavily reverse-biased, specially selected
                        low capacitance photodiodes and high GBW
                        discrete semiconductors.




                        heavily reverse biased chip-photodiode connected to an R f = 20k transimped-
                        ance amplifier. The first two transistors in common-collector, common-emitter
                        connections provide the gain, with overall shunt feedback. The last transistor
                        is just an emitter follower to drive the output load. Such circuits are useful up
                        to a few hundred megahertz bandwidth. Even here the stray capacitances and
                        inductances of the particular layout chosen start to dominate performance.
                        Beyond those frequencies, up to the 50GHz of the current top-end designs,
                        similar principles apply, although the search for special components such as
                        ultra-low-capacitance waveguide-coupled photodetectors becomes a key task.
                        See Umbach (2001) for a discussion of this high-bandwidth detection.


            2.7 Big Problem 2: Limitations of the
            Feedback Resistor

            2.7.1 Alternative resistors
                        In Sec. 2.5.3 we looked at the bandwidth restriction of the parasitic capacitance
                        of a high value resistor. This can often be the dominant limitation. Even with
                        the photodiode represented by a pure, capacitance-free current source and an
                        ideal opamp of infinite gain, system bandwidth can be poor. As we know, the
                        output voltage is just the photocurrent multiplied by the feedback impedance.
                        A standard 0.4-W metal-film resistor typically has an intrinsic capacitance of
                        about 0.2pF, so if R f = 100MW, the photoreceiver will exhibit a low-pass filtered
                        output with a characteristic frequency f c = 8kHz. In practice, the bandwidth
                        will be even less than this owing to additional stray capacitance from wiring
                        the resistor to its amplifier. One way to improve bandwidth is to find another
                        make or type of resistor with lower parasitic capacitance. In general, the smaller
                        the resistor the better; chip devices perform best.


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