3.1 Electro-Optical Modulators
These modulators exploit the electro-optical properties of the LiNbO 3 . In the linear electro-optic effect the presence of an electrical field induces the change of the refractive index of the material, and subsequently changes the propagation speed of the radiation. Thin film metallic electrodes are deposited onto the substrate surface and used to couple the modulating electrical signal to the optical carrier (figure 1).

3.1.1 Phase Modulators
The electro-optic effect is used to modulate the optical carrier fase. In this device a couple of electrodes are located on the sides of a single waveguide (figure 1) .
The modulator transfer function is simply given by:

Where Δф is the relative phase delay, V is the voltage applied to the electrodes and Vπ is the necessary voltage required to obtain a phase delay equal to π.
3.1.2 Coupling Electrodes
When the signal is time varying, the simple capacitive electrode configuration, in which they can be considered a capacitor C in parallel with the terminating resistor R, is frequency limited by the RC cut. The value of this cut is usually in the range of 1-2 GHz. In order to obtain modulators efficient enough for the microwave frequencies (20 GHz), coplanar transmission line configurations are adopted for the electrodes, allowing Travelling Wave (TW) coupling between the modulating signal and the optical carrier.
The higher frequency limit of the TW electrode configuration is possible due to:
- the difference between the propagation speeds of the modulating signal (c/n RF ) and the optical carrier (c/n opt );
- the resistive/dielectrical losses experimented by the modulating in the coupling electrodes.
The difference between the propagation speeds is the major limitation to the bandwidth in the case of conventional TW electrodes. The -3dB bandwidth (BW)is given in this case by the following expression:

where L is the length of the coupling between the TW electrodes and the optical waveguide Δn=nRF-nopt is the difference between the two propagation indexes (typically Δn=2). Because the efficiency of the modulator (Vπ) decreases with L, wider bandwidths imply lower electro-optic efficiencies.
Alenia Marconi Systems has developed a new TW electrode configuration enabling us to overcome this limitation. In this new configuration, called “Velocity Matched” (VM) the propagation speed of the modulating signal is adapted to that of the optical carrier. The bandwidth of the modulator is now limited by resistive/dielectric losses only, which increase with frequency. Moreover, the electro-optic efficiency is practically bandwidth independent (figure 2) . This makes the VM increasingly advantageous, in terms of efficiency, over the conventional TW electrodes as the bandwidth increases. The electro-optic efficiency of the conventional TW still remains higher than that of the VM configuration for a bandwidth lower than a threshold value, typically in the range of 3¸5 GHz. A further advantage of the VM configuration is the value of the characteristic impedance close to 50 Ohms, perfectly matched with the external signal line, in spite of the 25-35 Ohms of the conventional TW electrodes.

Figure 2: Electro-optic efficiency vs bandwidth
3.1.3 Amplitude Modulators
The intensity modulation of the optical carrier is obtained by the phase modulation in the two arms of an integrated interferometer (figure 3). The symmetric configuration of the coplanar TW electrodes allows the push-pull phase modulation of the two arms on the Mac Zehnder interferometer. The modulator transfer function is given by the following expression:

Γ is the optical insertion loss, фRF = πVRF / Vπ and фDC are the phase differences between the two arms of the interferometer induced by signals applied to the RF and the DC electrodes. The DC electrode is usually used to polarise the modulator transfer function at its quadrature point. It has to be noted that the value of the Vp at the RF electrode is now twice the value of the single phase modulator.

Figure 3: Intensity modulator
3.2 Acousto-optical Tunable Filters
These devices exploit the collinear interaction between the optical radiation and a Surface Acoustic Wave, which induces the resonant coupling between the TE and the TM polarised optical radiation. The integration of polarisation splitter and filter allows us to obtain a filter transfer function of which the peak wavelength (lf ) is an inverse linear function of the SAW frequency f (figure 4).

Figure 4: AOTF transfer function
The advanced fabrication process, in which both the TAPE and the TiD technologies are exploited, permit high performances and the possibility of adopting many different configurations to comply to the various customer requirements. An example of these configurations is given in figure 5.

Figure 4: AOTF transfer function