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Analysis of the optical scheme of a tunable interferometer with exact fixation of the interference grating on a stationary photosensitive sample

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Abstract

Subject of study. A holographic system with a tunable convergence angle of two interfering light beams, based on a beam-splitting cube and intended for writing diffraction gratings, is investigated analytically. The initial light beam is introduced into the cube using a movable mirror, which performs both linear and angular displacements, because of which the convergence angle is tuned. A lever mechanism leaning on an inclined guide is used for the movable mirror’s combined movement. Aim of study. The primary aim is to find a matching technique for the displacements of the movable mirror that ensures the resulting interference grating created in the plane of complete mutual overlap of converging beams remains immobile when the convergence angle is adjusted. Method. The path of light beams in the system was analyzed within the framework of geometric optics. Main results. It was found that the contact profile of the guide must be curvilinear to fix the spatial position of the interference grating. The precise functional relationship describing the envelope of this profile is derived, and the tuning characteristics are calculated based on the relative position of the photosensitive sample with respect to the beam-splitting cube. Practical significance. The design of this holographic system presents the advantage of using light beams of various diameters without requiring system corrections.

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