2 resultados para Orthogonal polynomials in two variables

em Digital Commons - Michigan Tech


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Magnetic iron garnets as well as magnetic photonic crystals are of great interests in magneto-optic applications such as isolators, current captors, circulators, TE-TM mode conversion, wavelength accordable filters, optical sensors and switches, all of which provide a promising platform for future integrated optical circuits. In the present work, two topics are studied based on magnetic iron garnet films. In the first part, the characteristics of the magnetization are investigated for ridge waveguides fabricated on (100) oriented iron garnet thin films. The magnetic response in magneto-optic waveguides patterned on epitaxial magnetic garnet films depends on the crystallographic orientation of the waveguides and the magnetic anisotropy of the material. These can be studied by polarization rotation hysteresis loops, which are related to the component of magnetization parallel to the light propagation direction and the linear birefringence. Polarization rotation hysteresis loops for low birefringence waveguides with different orientations are experimentally investigated. Asymmetric stepped curves are obtained from waveguides along, due to the large magnetocrystalline anisotropy in the plane. A model based on the free energy density is developed to demonstrate the motion of the magnetization and can be used in the design of magneto-optic devices. The second part of this thesis focuses on the design and fabrication of high-Q cavities in two-dimensional magneto-photonic crystal slabs. The device consists of a layer of silicon and a layer of iron garnet thin film. Triangular lattice elliptical air holes are patterned in the slab. The fundamental TM band gap overlaps with the first-order TE band gap from 0374~0.431(a/λ) showing that both TE and TM polarization light can be confined in the photonic crystals. A nanocavity is designed to obtain both TE and TM defect modes in the band gaps. Additional work is needed to overlap the TE and TM defect modes and obtain a high-Q cavity so as to develop miniaturized Faraday rotators.

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There is substantial genetic variability in response to ozone amongst and within tree species. Aspen is a highly variable species with a wide range of responses to ozone. Aspen response to elevated O3 levels is being investigated at the Aspen FACE site near Rhinelander, WI where five aspen clones of varying O3 tolerance have been fumigated with elevated O3 over the past decade. In this study, we examined the physiological differences in two of the aspen clones that differed significantly in their O3 tolerance with 8L being tolerant and 42E being sensitive. Throughout the 2007 and 2008 growing seasons we periodically estimated instantaneous photosynthetic rates, ACi responses and light response curves. The results of our study suggest that aspen clone 8L’s tolerance is due in part to decreased stomatal conductance early in the season, which lowered ozone uptake. Later during the season O3 uptake was comparable for the two clones. Our results also suggest the response of Vcmax, TPU, Rd, Gm, light compensation point and quantum flux to elevated O3 did not differ significantly between the two clones. Ozone uptake is important for ozone tolerance in clone 8L early in the season but cannot explain late season tolerance. Photosynthetic parameters for the two clones were similar, so clone 8L’s ozone tolerance is not due to a more efficient photosynthetic system.