Abstract: The present invention relates to a method for determining a distribution of a parameter, e.g. cross-sectional area, of a particle population for identifying specific types of particles therein. A plurality of images of the particles are detected on a pixel array and a number of pixels in the form of a pixel count is determined for each of the plurality of images of particles. Weighting factors, e.g. a probability which relate values of the parameter to different pixel counts are used to determine the distribution for the parameter of the particle population. The method depends on the facts that the total population to be analyzed contains many particles and is uniformly distributed, over many frames, throughout the optical sampling volume, and that even when substantial uncertainty exists on the parameter value corresponding any individual image, the statistical information which is obtained from many images may be used to provide accurate distributions.

Abstract: A method for determining a distribution of a parameter of a particle population is disclosed whereby the following steps are performed: a) detecting on a pixel array of elements a plurality of images of the particles; b) determining a number of pixels in the form of a pixel count corresponding to each of the plurality of images of particles; c) obtaining a plurality of weighting factors which relate values of the parameter to different pixel counts; and, d) utilizing the plurality of pixel counts and the weighting factors to determine the distribution for the parameter of the particle population. The method depends on the facts that the total population to be analyzed contains many particles and is uniformly distributed, over many frames, throughout the optical sampling volume, and that even when substantial uncertainty exists on the parameter value corresponding any individual image, the statistical information which is obtained from many images may be used to provide accurate distributions.

Abstract: The instant invention provides a vibration insensitive method of precisely polishing an object. The method includes the steps of providing an object to be polished, applying a conductive material to a non-electrical current conductive surface of the object, removing a portion of the object and the conductive material through polishing, and measuring an electric current flowing through the conductive material to monitor a progress of the polishing. Advantageously, the method does not require the polishing process to be interrupted to monitor the progress of the polishing. In fact, since the progress is measured as a function of resistance/electrical current, the progress is measured with an accuracy and precision related to each individual turn of a polishing pad. Advantageously, the instant method is remarkably vibration insensitive and is practical for the simultaneous, automatic, and precise, polishing of monolithic objects.

Abstract: A method and apparatus for aligning optical components effectively locks pairs of ports in alignment, while simultaneously allowing further alignment of the same or a different pair of ports. The effective locking of pairs of ports is achieved by providing a virtual pivot point close to the ports, via a relatively fast compensating movement. In the preferred embodiment, the relatively fast compensating movement is provided by a mechanism based on a electromagnet. Since the ports are locked, i.e., are always aligned with being affected by any other activities, the instant method and apparatus for alignment is highly suitable for automation.