The Research And Application Of Special Beam Arrays

Special beams are light fields which meet special distribution functions of quantities in terms of phase, amplitude, polarization and etc. They can be widely found in multiple optical systems, for instance, the fundamental mode in the symmetrical confocal resonator with circular mirrors of spherical surfaces—the Gaussian beam, the fundamental mode in the single mode fiber—the Bessel beam. The research of special beams is an attractive topic in optics. Currently, the applications of special beams have penetrated into aerospace industry, material synthesis, biochemical treatment, information dissemination and so on, covering various fields.Recent years, the introduction of the special beam array, which is consisted of the special beams and the theories of arrays, highly riches the content of the special beams and greatly extends the range of application. Based on such background, the thesis mainly focuses on three types of special beams—Gaussian vortex, Bessel and Airy beams. Based on the concept of lattice in the solid state physics, we systematically study the formation of simple and complex special beam arrays. The main contents are as follows:The first part, the theoretical system of special beam arrays is constructed. Based on the theory and knowledge of lattice in the solid state physics, we set up the theoretical framework of special beam arrays, using the concepts of cell and array.The second part, the formation of special beam arrays is discussed. The phase distributions, intensity distributions and Fourier spectra of special beam arrays are studied by numerical simulation method. We use computers to generate digital phase masks and digital phase holograms of arrays of Gaussian vortex, Bessel and Airy beams. On that basis, we generate special beam arrays experimentally using phase only spatial light modulator, based on the fractional-Talbot effect.The third part, practical applications of special beam arrays are explored. The linear and nonlinear transmissions of different special beam arrays are studied experimentally in the strontium barium niobate crystal (SBN), and the corresponding photonic lattices are generated. The performance of special beams in particle trapping is also demonstrated, due to their excellent optical properties.