|Author's Email Address
||This thesis had been viewed 5330 times. Download 452 times.|
|Type of Document
||Design and Characterization of Laser Resonators with Intra-cavity Azimuthal Symmetry-breaking optics|
|Date of Defense
||spiral phase plate
azimuthal symmetry breaking
nonlinear eigenvalue problem
specific relative angular momentum
ray transfer matrix
orbital angular momentum
||Optical vortex (OV) is more than a beam of donor-shaped intensity pro- file. It carries well-defined orbital angular momentum (OAM) in the photons within. The unique property of OV beam have attracted growing attentions due to the wide range of promising applications including microscopy, particle manipulation, astronomy, cosmology and sub-Peta hertz bit-rate optical communications. Although a number of techniques are devised to generate OV with helical wavefront from gaussian beams by exploiting external resonator conversion element such as spiral phase plate (SPP), holograms, anisotropic media (Q-plate), not one of these approaches achieve a satisfactory conversion efficiency and beam quality.|
Ray transfer matrix (RTM) are widely adopted technique to analyses the property of a laser resonator of paraxial bundles of lights. Nonetheless, the inhomogeneous feature of azimuthal symmetry breaking (ASB) element make the resonator design a difficult problem. In this study we develop an iterative approach to solve the nonlinear eigenvalue problem in laser
resonator with intra-cavity ASB elements within. This approach efficiently identify the trajectories of stable periodic orbitals (modes) of ASB laser resonators of arbitrary order N. Manipulation of the trajectories is accomplished by tuning the cavity parameters such as radius of curvature of the cavity mirror, cavity length and the position of the ASB element inside the cavity.
Notably the specific relative angular momentum (SRAM, angular mom- entum over mass) in the orbital is obtained with a proposed specious particle model for the trajectories. The SRAM introduced by the SPP is investigated to be linearly to the pitch height of the SPP. It is in good agreement in wave-optics picture, in which the pitch directly indicates the topological charge carried by the SPP.
Further phase space characterization of the cavity orbitals is considered for possible chaotic orbitals and scar modes to mimic the quantum billiard problem in ASB laser resonator in classical way.
||Shou-Tai Lin - chair|
Yen-Yin Lin - co-chair
Yuan-Yao Lin - advisor
Indicate in-campus at 1 year and off-campus access at 1 year.|
|Date of Submission