Abstract

A generalized multi-layered infinite-length fiber optic cable is modeled using the exact theory of three-dimensional elasticity in cylindrical coordinates. A cable is typically composed of a fiber optic (glass) core surrounded by various layered materials such as plastics, metals, and elastomers. The cable is excited by an acoustic spherical wave radiated by a monopole source at an arbitrary location in the acoustic field. For a given source location and frequency, the radial and axial strains within the cable are integrated over a desired sensor zone length to determine the optical phase sensitivity using an equation that relates the strain distribution in an optical fiber to changes in the phase of an optical signal. Directivity results for the cable in a free-field water environment are presented at several frequencies for various monopole source locations. Some comparisons of the sensor directional response resulting from nearfield (spherical wave) incidence and farfield (plane wave) incidence are made. [Work supported by NAVSEA Division Newport ILIR Program.]

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