title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð²Ð½ÐµÑÐ½ÐµÐ³Ð¾ Ð²Ð¾Ð»Ð¾ÐºÐ¾Ð½Ð½Ð¾Ð³Ð¾ Ð´Ð²ÑÑ ÑÐ»Ð¾Ð¹Ð½Ð¾Ð³Ð¾ Ð¸Ð½ÑÐµÑÑÐµÑÐ¾Ð¼ÐµÑÑÐ° Ð¤Ð°Ð±ÑÐ¸-ÐÐµÑÐ¾ Ñ ÑÑÐµÑÐ¾Ð¼ Ð½Ð°ÐºÐ»Ð¾Ð½Ð° Ð³ÑÐ°Ð½Ð¸Ñ ÑÐ»Ð¾ÐµÐ²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Development of an analytical signal model of an external fiber twoâlayer FabryâPerot interferometer, taking into account the slope of the layer boundaries
Creators: name: ÐÐ¾Ð·Ð»Ð¾Ð², ÐÐ»ÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð²Ð½ÐµÑÐ½Ð¸Ð¹ Ð²Ð¾Ð»Ð¾ÐºÐ¾Ð½Ð½ÑÐ¹ Ð¸Ð½ÑÐµÑÑÐµÑÐ¾Ð¼ÐµÑÑ Ð¤Ð°Ð±ÑÐ¸âÐÐµÑÐ¾
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FabryâPerot external fiber interferometer
combined sensor
overlap integral
twoâlayer interferometer
Gaussian beam

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description: The model includes design parameters (the angles of inclination of the boundaries of the interferometer layers, thicknesses and optical characteristics of the layers). The propagating radiation is described by the model of a divergent Gaussian beam. The terminological features of the subject area are taken into account and software tools are used to solve problems. A system of expressions describing the propagation and capture of radiation in an interferometer is obtained. It includes an analytical expression for the overlap integral of two fields, taking into account their angular and transverse displacement, a matrix for converting Gaussian beam parameters, and geometric relations describing the displacement of the beam associated with the axis of the Gaussian beam when radiation passes through an interferometer. Examples of the dependence of the amplitudes of the interference terms that make up the output signal on the angle of inclination of the boundaries of the layers are calculated. According to the examples given, a small change in the angle of inclination of the boundary can lead to a significant decrease in the output signal. The results of the work can be useful in evaluating the signal of a twoâlayer sensor, in the optical calculation of its design and in the selection of survey equipment.â