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The scientific community is going to face a new challenge that will engage Asia, Europe and USA: the International Linear Accelerator (ILC).ILC will explore the TeV energy scale by means of electron-positron collisions.The clean signaturesand the precise measurements, available at a high-luminosity linear collider withknown and tunable beam energy, could bring revolutionary new insights into the fundamental interaction physics.Several studies have shown the physical importance of the beam polarization at ILC.A polarized electron beamwould provide a valuable tool for accurate tests of the Standard Model and fordiagnosing new physics.This explains why polarization of the electron beam is already foreseen for the ILC baseline design.However, recently, it has been shown that only if the positron beam is also polarizedit will be possible to exploit the full potential of the Linear Collider.In this thesis a design is proposed for a polarized positron sourceat the ILC. In the first chapter an overview of the physical importance to have both the beams polarized at the interaction pointis presented.In the second chapter the two present ideas to obtain polarized positronsare discussed:the undulator-based positron source and the Compton (laser-based) source.In both schemes circularly polarized photons are produced and then converted into polarized positrons in a relatively thin target.In this thesis the Compton scheme proposal has been considered in detail. The main element of the Compton scheme is the so called Compton Ring, that is an electron storage ring where the Compton interaction between the electron beam and a laser produces circularly polarized photons.The original contribution of this thesis is a proposal of a specific Compton Ring lattice, that I have designed using the MAD simulation program. Such design is presented in the third and fourth chapters.In the last chapter one describes a simulation program that devoted tostudy the longitudinal single bunch dynamics when perturbed by a laser beam. This program has been used to testthe lattice models presented in the previous chapters, so allowing to understand the main characteristics of the beam dynamics in a Compton Ring.