Intrinsic properties of the optical coupling between axisymmetric Gaussian beams

Abstract

On the basis of the overlap integral method, an approximate analytical model is derived to estimate the coupled optical power between axisymmetric Gaussian beams when transverse, axial, and angular misalignments simultaneously exist in three dimensions. Seven optical properties are derived from a detailed analysis of the model. Because the model is an approximate analytical solution to the overlap integral method, the existence of each property is also investigated by a numerical solution. Results show that all seven properties are intrinsic to the optical coupling phenomenon between Gaussian beams. Because numerous single-mode device-to-fiber coupling systems can be well described by use of Gaussian beams, the seven properties provide a solid basis to develop model-based algorithms for single-mode device-to-fiber alignment automation.

Miniature interferometric humidity sensor based on an off-center polymer cap onto optical fiber facet

“…where η is the coupling coefficient that can be calculated from Eqs. A7 and A (8) given in reference [55]. It depends strongly on the angular misalignment, θ, see Fig.…”

“…Due to the misalignment of the polymer-cap, the portion of the reflected wave that is coupled in the SMF core will be [55,56]:…”

“…From Eq. ( 7), it can be deduced that it is possible to achieve a maximum value of V by adjusting the coupling coefficient ƞ, which depends on the axial misalignment θ, n p , d, λ, ω 0 , and w d [55,58].…”

Modeling and Validation of Performance Limitations for the Optimal Design of Interferometric and Intensity-Modulated Fiber Optic Displacement Sensors

“…For the purposes of this work, θ d is always assumed to be zero, and r d is referred to as the lateral (or radial) offset between the transmitting and a given receiving fiber. The coupling efficiency between the two fibers, or the fraction of the transmitted light that enters the receiving fiber, may be calculated using the normalized overlap integral [36], expressed in…”