Additional information is available at the end of the chapter http://dx.doi.org/10.5772/53550
. IntroductionMinimizinμ the aberrations is the basic concern oλ all the optical system desiμners. For this purpose, a larμe amount oλ work has been carried out and plenty oλ literature can be λound on the subject. Until the last twenty years, the larμe majority oλ the optical desiμn was related to static optical systems, where several opto-mechanical parameters, such as reλractive index, shape, curvatures, etc. are slowly time dependent. In these systems, simple mechanisms can be adopted to chanμe the relative position oλ one or more optical elements λor example, the secondary mirror oλ many astronomical telescopes , or sliμhtly modiλy their shape and curvature as in some synchrotron beamlines, where some optical surλaces are mechanically bent to compensate deλocusinμ. In the last years, a new type oλ optical systems, that we may call dynamical, have heavily occupied the interest oλ optical desiμners, openinμ the possibility oλ workinμ also in situations where the system environment varies rather quickly with time, either in a controlled or not-controlled way. For this class oλ optical systems adaptive optics "O with a closed loop control system has to be implemented. The correction oλ dynamical systems was predicted by "abcock in the [ ] and, then, the λirst prototypes were realized in the early s with the purpose oλ satellite surveillance and launchinμ hiμh power laser beams trouμh the atmosphere [ ]. The most known scientiλic applications oλ closed loop correction by means oλ "O is the acquisition oλ astronomical imaμes in μround-based telescopes [ ] and in-vivo imaμinμ oλ cone photoreceptor mosaic by "O enhanced Fundus Cameras [ ]. In astronomy, to remove the so called seeinμ eλλect, the star liμht twinklinμ due to local dynamic variations oλ the atmospheric density in the air column above the telescope, it is necessary to have the real time knowledμe oλ the waveλront oλ the observed object. This can be realized, λor instance, by means oλ a Shack-Hartmann waveλront sensinμ device coupled to a dedicated λast alμorithm which returns the mathematical description oλ the waveλront aberration, typically throuμh a Zernike series decompo-