Sharif Digital Repository

Scattering theory on locally symmetric space first was studied by Peter Lax and Ralph Phillips. They studied the and develop scattering theory on it. Without the Fourier analysis tools this theory was completed with a lot of computations. In this thesis first we try to construct Fourier analysis by definition Fourier transform then by means of new tools we prove very short version of scattering theory on locally symmetric space . In general case for studying scattering theory we need firs spectral decomposition of Hilbert space of square integrable functions locally symmetric spaces of rational rank one is achieved by quotient of symmetric space where G is Lie group and K is maximal... 

By using Mie theory and experimental data for complex refractive index of Au and Ag nanoparticles, the scattering and absorption efficiency of these nanoparticles in silicon medium (crystalline, Polycrystalline and amorphous silicon) was investigated. It was shown that Ag and Au nanoparticles can be used for confine the light, in desired wavelength band, inside the solar cell.The optimum nanoparticle size for using in this kind of solar cells was about 70-80 nm. In amorphous silicon confined photons cannot participate in electron-hole generation so the application of these metal nanoparticles in this kind of solar cells cannot be useful. Also the complex refractive index for equivalent... 

Aerosols are significant two-phase systems that have an important effect on environmental, biological, health, industrial and other scientific and engineering fields. According to chief aerosol effects, various instruments namely “Aerosol Spectrometer” have been developed to measure aerosols. Optical Particle Counters (OPCs) are one of this instruments that can count and measure the particles size distribution in the aerosols.
In the current project, an optical particle counter has been designed. For validating the correct operation of the designed plan, it is needed to simulate the instrument optically and mechanically, so the Mie theory was used to simulate the intensity of the... 

Optical coherence tomography is a rapidly evolving imaging technique that enables non-invasive cross-sectional imaging of high-sensitivity semi-transparent samples (poor scattering). The biggest limitation of optical coherence tomography is the low penetration depth (about a few millimeters) in tissue. OCT is based on low-coherence interferometry. In this study, we investigate Michelson and Mach-Zehnder interferometers in OCT set-up and explain the advantages of using Mach-Zehnder interferometers in OCT systems. Furthermore, in this thesis, we have shown that by using Mie scattering, we can have forward scattering, hence the penetration increases. We have suggested this method as a solution...