Research on a Novel Fabry–Perot Interferometer Model Based on the Ultra-Small Gradient-Index Fiber Probe

Wang, Chi; Sun, Jin; Yang, Chen; Kuang, Bin; Fang, Dong; Asundi, Anand Krishna

doi:10.3390/s19071538

Cited by 6 publications

(4 citation statements)

References 18 publications

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“…To compute

, the output optical field must be weighted to account for the spatial response of the detector and integrated over its aperture. Two common detection schemes involve (1) using a uniformly sensitive detector that is larger than the beam thus rendering the detector effectively infinite in extent and sensitive only to intensity [ 21 , 22 ]; (2) coupling light into a detector via a single-mode fibre, rendering the detector small and phase-sensitive [ 23 , 24 ]. In the first case (large detector), the measured intensity is the spatial integration of the field

2

where r represents the radial axis.…”

Section: Modelmentioning

confidence: 99%

See 1 more Smart Citation

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

Sanchez¹,

Li²,

Marques

et al. 2022

Opt. Express

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A numerical model of Gaussian beam propagation in planar Fabry-Perot (FP) etalons is presented. The model is based on the ABCD transfer matrix method. This method is easy to use and interpret, and readily connects models of lenses, mirrors, fibres and other optics to aid simulating complex multi-component etalon systems. To validate the etalon model, its predictions were verified using a previously validated model based on Fourier optics. To demonstrate its utility, three different etalon systems were simulated. The results suggest the model is valid and versatile and could aid in designing and understanding a range of systems containing planar FP etalons. The method could be extended to model higher order beams, other FP type devices such as plano-concave resonators, and more complex etalon systems such as those involving tilted components.

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“…To compute

2

where r represents the radial axis.…”

Section: Modelmentioning

confidence: 99%

“…The second model is representative of aspects of compact systems featuring fibre-optic etalon sensors. Such systems are used to measure pressures, temperatures, strains and acoustic waves in fields including medical and structural engineering [ 23 , 28 ]. One common configuration is shown in Fig.…”

Section: Model Demonstrationsmentioning

confidence: 99%

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

Sanchez¹,

Li²,

Marques

et al. 2022

Opt. Express

View full text Add to dashboard Cite

show abstract

“…The fibre extrinsic F-P interferometer (EFPI) is an obvious evolutionary form that is attracting more attention [ 22 , 23 , 24 , 25 ]. In the second approach, the displacement is obtained from the movement of the no-expansion fringe pattern with a microscale low-resolution but normally large measuring range.…”

Section: Introductionmentioning

confidence: 99%

Microdisplacement Measurement Based on F-P Etalon: Processing Method and Experiments

Shen

Zhou

2021

Sensors

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Herein, a processing method is proposed for accurate microdisplacement measurements from a 2D Fabry–Perot (F-P) fringe pattern. The core of the processing algorithm uses the F-P interference imaging concentric ring pattern to accurately calculate the centre coordinates of the concentric ring. The influencing factors of measurement were analysed, and the basic idea of data processing was provided. In particular, the coordinate rotation by the 45-degree method (CR) was improved; consequently, the virtual pixel interval was reduced by half, and the calculation accuracy of the circle centre coordinate was improved. Experiments were conducted to analyse the influence of the subdivision and circle fitting methods. The results show that the proposed secondary coordinate rotation (SCR) by 45 degrees method can obtain higher accuracy of the centre coordinate than the CR method, and that the multichord averaging method (MCAM) is more suitable for calculation of the centre coordinate than the circular regression method (CRM). Displacement measurement experiments were performed. The results show that the standard experimental deviation of the centre of the circle is approximately 0.009 µm, and the extended uncertainty of the displacement measurement in the range of 5 mm is approximately 0.03 μm. The data processing method studied in this study can be widely used in the field of F-P interferometry.

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“…More recently Wang et al provided a demonstration of a fiber-optic Fabry-Perot interferometer consisting of the more versatile three-segment GIF tips (described in section 2). These GIF tips consist of a coreless fiber (CF) segment spliced between single-mode and GIFs [21]. In this case the CF segment serves to expand the beam and can achieve improved collimation of the output beam.…”

Section: Introductionmentioning

confidence: 99%

Design considerations for graded index fiber tip Fabry–Perot interferometers

Riesen

Phillips

Nguyen

et al. 2021

Meas. Sci. Technol.

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An analysis is provided of fiber-optic Fabry–Perot interferometers designed and fabricated using collimating graded-index fiber (GIF) tips as an alternative to typical highly divergent standard single-mode fibers (SMFs). The collimated beam from the GIF tips allows for significantly longer etalons to be fabricated due to the increased collection efficiency when used either in reflection or transmission mode. We extend previous results, showing that GIF tips using coreless fiber segments can allow for up to four-fold increase in fringe visibility (FV) at 1550 nm compared with standard SMF Fabry–Perot etalons of the same length. The collimating GIF tips help lessen the FV vs cavity length trade-off typically observed in fiber-optic Fabry–Perot systems. We also explore the effects on FV improvement when using capillaries to align the fibres. This paper also provides easily accessible design guidelines and considerations for fabricating GIF based devices at 1550 nm.

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Research on a Novel Fabry–Perot Interferometer Model Based on the Ultra-Small Gradient-Index Fiber Probe

Cited by 6 publications

References 18 publications

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

ABCD transfer matrix model of Gaussian beam propagation in Fabry-Perot etalons

Microdisplacement Measurement Based on F-P Etalon: Processing Method and Experiments

Design considerations for graded index fiber tip Fabry–Perot interferometers

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