Direct-bandgap III-V semiconductor materials based on InP allow monolithic integration of optical functionality with electronic circuitry for optical communication applications. The quaternary III-V alloy, InGaAsP, is particularly important because its bandgap can be tuned to different wavelength windows by adjusting its composition, while keeping its lattice matched to InP. Optoelectronic modulators, which translate electrical pulses into light pulses, are a critical component for communications. Here we show how, by electrically inducing a 2.5mm-long Distributed Bragg Reflector in an InP/InGaAs Prib waveguide, we can theoretically realize a modulator capable of a switching speed over 40GHz. The proposed device, shown in cross section in Figure 1, is a vertical InP/InGaAsP p-i-n diode, in which the intrinsic InGaAsP layer defines the optical channel. The anode is periodically spaced along the top of waveguide, as shown in schematic top view in Figure 1. The principle of operation is straightforward. When the diode is unbiased, the device is transparent and light can travel along the modulator without being affected by loss. When a negative voltage is applied between anode and cathode, a Bragg reflector is induced, due to the periodic refractive-index variation in the intrinsic region caused by spatial periodicity of the anode along the 2.5mm waveguide. The periodic index variation causes the light to be reflected rather than transmitted. When an electric field is applied to a semiconductor, two main types of effect can induce a refractive-index variation: the first is related directly to electric field strength (electro-optic effect), while the other type includes several effects related to the change of the free-carrier concentration. In InP-based materials, no single effect is dominant. To predict grating reflectivity, it is necessary to know how the effective index of the junction varies with the applied anode bias. The first step is to compute the refractive-index variation in the Figure 1. The left panel shows a schematic cross-section of the proposed modulator, where the guiding layer is intrinsic InGaAsP. The top signal electrode (the anode) is patterned into a comb-like shape, as shown in the top view of the device on the right.