La ventaja del enfoque empleado es permitir la resolución de problemas físicos complejos o de especialistas (ref. La integración de las trayectorias del planeta se llevó a cabo mediante expansiones en series de Taylor de tercer orden. Esto permite describir las interacciones gravitatorias con el potencial de Newton y reducir el problema de tres cuerpos al de uno (el planeta), en un campo gravitatorio que varía en el tiempo según una función analítica exacta. El algoritmo desarrollado se aplicó para resolver el problema de un planeta del tipo terrestre o enano, orbitando en torno de dos estrellas de masas similares a la del Sol. Resumen En el presente trabajo se programó un algoritmo matemático simple, que permite la resolución y enseñanza de las características de las trayectorias de tres partículas que interactúan entre sí mediante fuerzas gravitacionales o eléctricas. This design may make it possible to achieve the very deep broadband nulls needed for exoplanet searching. A theoretical design technique based on three coupled waveguides is developed to achieve fully achromatic, broadband, polarization-insensitive, lossless beam combining. Using this device, white-light, mid-infrared, fringes, as well as electro-optic on-chip fringe scanning, is demonstrated in the laboratory. The device is fabricated on a lithium niobate substrate for operation in the vicinity of 3.4 $mu$m. In this thesis an integrated optic beam combiner for stellar interferometry that operates in the mid-IR is demonstrated for the first time. Operation in the mid-IR, however, is highly desirable. To date, integrated optic beam combiners have only been demonstrated at operating wavelengths below 2 $mu$m. Integrated optic beam combiners offer many advantages over conventional bulk optic implementations for astronomical imaging. A closed form expression for this sensitivity is derived. The ultimate sensitivity of a ring resonator gyroscope is shown from theoretical considerations to be fundamentally limited by the spontaneous emission noise generated within the gain medium. The finesse of the ring resonator is measured and is observed to increase from approximately 11 to 250 when the neodymium ions inside the ring are optically pumped to produce gain. A 1.6 cm diameter active ring resonator is fabricated in a neodymium-doped glass by silver ion exchange. ![]() In this thesis the first active ring resonator for gyroscopic applications is designed, fabricated and characterized. The sensitivity of the gyroscope is limited by the propagation losses in the ring, and hence can be improved by the introduction of loss-compensating gain inside the ring. This thesis is a theoretical and experimental study of two new integrated optical sensors - an integrated optic ring resonator gyroscope for measuring angular rotation rate and an integrated optic beam combiner for stellar interferometry.Īlthough passive integrated optic ring resonators for gyroscopes have been previously reported, little work has been performed for active rings. Integrated optical devices are now widely deployed in fiber optic telecommunication systems and as sensor components. Integrated optical devices are free from the alignment and stability issues that bedevil bulk optical devices and systems.
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