Study On Vectoriality, Nonparaxiality And Partial Coherence Of Optical Field

Vectoriality, nonparaxiality and partial coherence are the general properties of optical electromagnetic field. The theory of vectorial and nonparaxial beam propagation has enriched and expanded laser optics and become its important part. It is well known that there is apparent inconsistence or paradox in the conventional theory of laser optics due to the assumed paraxial approximation or assumption of slowly varying amplitude. With the development and wide application of diode lasers and practical technology, there exist optical beams of very small spot size and large far-field divergence angle, for which the paraxial theory is invalid, and lots of study has been intrigued to find the exact solution of electromagnetic field of optical frequency, and many kinds of methods, such as perturbation power series method, agular spectrum representation, transition operators, and virture source mothod, have been developed to describe the optical electromagnetic beams beyond paraxial approximation. Based on the work at home and abroad, some original studies have been done in this dissertation. They are summarized as follows:By using the vectorial Rayleigh-Sommerfeld integrals, the propagation expressions in free space for the nonparaxial elliptical Gaussian, Hermite-Gaussian, Laguerre-Gaussian, and Hermite-Laguerre-Gaussian beams are derived and the corresponding far-field results are also presented. By using these expressions, which are in consistence with the results under the paraxial approximation, the propagation...