RESUMEN
The nested Wolter-I type focusing mirror is widely used in the field of X-ray astronomy. The thin-shell mirrors produced by the electroforming replication method will introduce various shape errors during the fabricating and assembling process. This study introduces a non-analytical 3D geometrical ray tracing algorithm capable of predicting optical performance for large mirror deformations. The algorithm's implementation involves error reconstruction, light source and ray simulation, and optical performance calculation. Experimental and simulation validation underscores the algorithm's precision and effectiveness. The results also indicate that edge deformation can seriously affect imaging contrast which is generally considered to be determined only by surface scattering. Applying the 3D ray tracing algorithm, a range of low-frequency fabrication and assembly errors are simulated, such as absolute radius, taper, roundness, edge effects, mirror posture, and hoisting deformation errors, and their effects on imaging quality are analyzed and discussed.
RESUMEN
The electroforming replication process has been widely used in the fabrication of nested x-ray telescopes. The imaging performance of the mirrors is determined largely by the shape accuracy of the mandrels. To predict the imaging performance of mirrors replicated from mandrels with different parameter and fabrication errors, a special Monte Carlo ray tracing model is established and verified by experiments. Then, based on ray tracing numerical calculation, the influence of each major fabrication error is discussed. Furthermore, according to the results obtained by the simulation of slope error, a method for evaluating the relationship between the mandrel full-band errors and imaging quality is proposed and then verified by experiments. The results show that the power spectral density (PSD) reference given by the method can well reflect the quality of the mandrels, and guide the fabrication process.
RESUMEN
A liquid-level sensing method based on differential pulse-width pair Brillouin optical time-domain analysis (DPP-BOTDA) combining with a self-heated high attenuation fiber (HAF) is proposed, where the principle is to locate the temperature abruption position at the interface between liquid and air caused by their different thermal diffusion rates. A Panda polarization-maintaining fiber is used as the sensing optical fiber, which is tightly glued alongside a laser-powered HAF. Heated by a high-power laser, the temperature of the HAF can increase and exhibits approximately exponential attenuation with the light propagation direction, which induces a similar temperature distribution over the sensing fiber. By using a 5-cm spatial resolution DPP-BOTDA and a 1.4-W heating light, temperature distributions of the sensing fiber are measured for different water levels, and the results indicate that distributed liquid-level sensing with a range of 20 cm and a resolution of 1 cm is realized using our method.