Studies On Propagation Properties Of Partially Coherent Electromagnetic Non-Gaussian Correlated Beams

Since the unified theory of coherence and polarization was proposed by Professor Wolf in 2003, a lot of traditional partially coherent beams have been studied deeply using this theory. Meanwhile, some new partially coherent beams has been developed one by one which called partially coherent non-Gaussian correlated beams. Partially coherent non-Gaussian correlated beams have some special properties such as self-focusing, self-shaping and so on. These properties may be well used in optical sensing, optical detection and optical communication. From the unified theory of coherence and polarization we can find that the coherence and polarization are closely related. What is more, we can investigate the propagation properties of beams with the cross-spectral density matrix. In this dissertation, we study the propagation properties of two models of partially coherent non-Gaussian correlated beams through optical system and oceanic turbulence in the vectorial field.The multi-Gaussian Schell-model beam is one kind of partially coherent non-Gaussian correlated beams whose spectrum intensity has the circular flat in the far field. Compared with multi-Gaussian Schell-model beams, there is another partially coherent non-Gaussian correlated beam which has similar properties called rectangular multi-Gaussian Schell-model beams. Their degrees of coherence are both the sum of several Gaussian Schell-model functions. However, the spectrum intensity of rectangular multi-Gaussian Schell-model beams appears rectangular flat in the far field instead. In this paper, we study these two models of beams respectively and investigate their propagation properties. The dissertation is divided into four parts, showing as follows:In Chapter 1, the research background is introduced including two models of partially coherent non-Gaussian correlated beams, oceanic turbulence model and optical system. Then we introduced the fundamental method and theoretical basis used in the investigation:the unified theory of coherence and polarization; the matrix optics.In Chapter 2, we study the propagation properties of electromagnetic multi-Gaussian Schell-model beams through the optical system. Firstly, we deduce the analytical expression for the elements of the cross-spectral density matrix of multi-Gaussian Schell-model beams propagating in ABCD optical system. Using the analytical expression, we analyze the spectral density, the spectral degree of coherence and the spectral degree of polarization of multi-Gaussian Schell-model beams propagating through fractional Fourier transform optical system. Meanwhile, we also study the affections of the summation index to these properties.In Chapter 3, we study the propagation properties of electromagnetic rectangular multi-Gaussian Schell-model beams propagating through oceanic turbulence. Firstly, we extend scalar rectangular multi-Gaussian Schell-model beams to electromagnetic domain. Then we obtain the analytical expression of the cross-spectral density matrix of rectangular multi-Gaussian Shell-model beams through oceanic turbulence. With this analytical expression, we deduce the analytical expressions of the spectral density, the spectral degree of coherence and the spectral degree of polarization of rectangular multi-Gaussian Schell-model beams through oceanic turbulence. Selecting appropriate parameters, we study the behaviors of spectral density, the degree of coherence and the degree of polarization caused by different oceanic turbulence impact index and the summation index.In Chapter 4, we conclude the work we have done and indicate the innovations in the work. Then we discuss the plans for future work.