We present a way for generating coherent tunable electromagnetic radiation through dc to ac field conversion by an ionization front. The conversion is caused by the excitation of leaky waves behind the transversely limited ionization front propagating in a uniform electrostatic field. This differs significantly from the well-known dc-to-ac-radiation-converter models which consider Doppler-like frequency conversion by a transversely unlimited ionization front propagating in a spatially periodic electric field. We explore the dispersion properties and excitation of these leaky waves radiated through the transverse plasma boundary at the Cherenkov angle to the direction of propagation of a superluminal ionization front as dependent on the parameters of the plasma produced and on the speed of the ionization front. It is shown that not only the center frequency but also the duration and waveform of the generated pulse may significantly depend on the speed of the ionization front. The results indicate the possibility of using such converters based on planar photoconductive antennas to create sources of microwave and terahertz radiation with controllable waveforms that are transformed from video to radio pulse when the angle of incident ionizing radiation is tuned. laser pulse on a photoconductive material flat boundary [5,6,20,21]. In this case, the speed of the generated ionization front is greater than the speed of light and is determined by the incident angle of the ionizing radiation, which makes it easy to control the front speed through the adjustment of the angle. Available femtosecond laser systems are capable of securing the propagation of such fronts over sufficiently long distances and the formation of subsurface plasma over sufficiently large areas (tens of square centimeters) [24][25][26][27]. Photoconductive devices (including large-area ones) that use ultrafast ionization have been used for generation, detection, frequency conversion, phase shifting, and fast switching of terahertz or microwave radiation (see, e.g., [5][6][7][20][21][22][23][24][25][26][27][28][29][30][31]).Since the speed of propagation of ionization fronts is greater than the speed of light, fast leaky polarization waves are excited behind the front and radiate energy through the transverse plasma boundaries at an angle to the direction of front propagation. Leaky waves have been actively studied for more than half a century (see, e.g., [32][33][34][35][36][37][38][39][40][41][42][43]) and are now attracting attention in the context of the development of emitting and receiving devices with large apertures, including those which use metamaterials and photonic crystals [39][40][41][42][43]. In our case, the excited leaky waves are of a rarely studied type; they have complex values of frequency and wavenumber whose ratio has a real value equal to the speed of the ionization front. Here lies a distinction between our problem and similar ones regarding the conversion of plane waves interacting with an instantly generated plasma slab or half...