Study On Fractional Fourier Optics And Its Application

Frachona1 Fourier Optics becomes a new branch of the modem opticsafter the introduction of Fractional Fodrier Transform (FRT frommathematics to ophcs. It is regarded as the develoPment and extension ofFodrier optics. It not only makes us look at oPtical proPagation, oPticalimaging and information processing from a new point, bu also provides us anew tOol to treat these problems. Fractional Fourier OPtics has been widelyused in many fields of informaton processing and will be used more widely inthe fiwt.During a few years the basic theoretical frame has been set uP sinceFractional Fourier Transform was successful1y introduced into the oPtic field.Howevet, the researches on itS actUal aPp1ication are relative1y sluggish andinunature. This dissChaion aims at the development of the aCtual aPPlicationof Fractional Fourier Transform and involves the boher research of FractionalFourier TransfOrm Ho1ograxn (FRTH), Computer-generated Fractional FourierTransform Hologram (CGFRTH) and Fractional Focher Domain Filtering(FKDF) etc.Based on the theory of Fractional Fourier Transform and one of itsspecial and importam paraxnetef, Fractional Order, we present several noveltyPes of FM and analyze their principles, fabrications and aPplications.Based on the principle of Fractional Fodrier TranSform andComputer-generated Holograxn, we bring forward the conceP of CGFRTH,analyze its traits and work ollt the simulated prograxn of CGFRTH.Furthermore, based on the princiPle and actUal development of puPi1 filteringtechnology, we also present a novel way Which improves the quality and theresolotion of lithograPhic figure with FRDF and hope to provide an effectiveway fOr the deve1opment of lithograPhy technology.