Spatial and spectral response of a Fabry–Perot interferometer illuminated by a Gaussian beam

Nichelatti, E.; Salvetti, G.

doi:10.1364/ao.34.004703

Cited by 25 publications

(9 citation statements)

References 11 publications

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“…Other previously developed models are applicable to arbitrary beams. For instance, Nichelatti et al [20] and Lee et al [21] modelled beam propagation inside an FP etalon using the angular spectrum formalism [22]. Arbitrary incident beams were represented as a superposition of plane waves and the interaction of each with the FP etalon was calculated using the appropriate Airy function.…”

Section: Introductionmentioning

confidence: 99%

“…Arbitrary incident beams were represented as a superposition of plane waves and the interaction of each with the FP etalon was calculated using the appropriate Airy function. Nichelatti et al [20] investigated changes in the fringe shape in response to variations in the Gaussian spot size and beam alignment. In Lee et al [21], the optical response of the FP etalon is explained as a spatiospectral filter, allowing the relationship of fringe shape to Gaussian spot size, beam alignment and mirror alignment to be explained.…”

Section: Introductionmentioning

confidence: 99%

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Modelling Fabry-Pérot etalons illuminated by focussed beams

et al. 2020

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Fabry-Pérot (FP) etalons are used as filters and sensors in a range of optical systems. Often FP etalons are illuminated by collimated laser beams, in which case the transmitted and reflected light fields can be calculated analytically using well established models. However, FP etalons are sometimes illuminated by more complex beams such as focussed Gaussian beams, which may also be aberrated. Modelling the response of FP etalons to these beams requires a more sophisticated model. To address this need, we present a model that can describe the response of an FP etalon that is illuminated by an arbitrary beam. The model uses an electromagnetic wave description of light and can therefore compute the amplitude, phase and polarization of the optical field at any position in the system. It can also account for common light delivery and detection components such as lenses, optical fibres and photo-detectors, allowing practical systems to be simulated. The model was validated against wavelength resolved measurements of transmittance and reflectance obtained using a system consisting of an FP etalon illuminated by a focussed Gaussian beam. Experiments with focal spot sizes ranging from 30 µm to 250 µm and FP etalon mirror reflectivities in the range 97.2 % to 99.2 % yielded excellent visual agreement between simulated and experimental data and an average error below 10% for a range of quantitative comparative metrics. We expect the model to be a useful tool for designing, understanding and optimising systems that use FP etalons.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modelling Fabry-Pérot etalons illuminated by focussed beams

et al. 2020

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“…Existe bastante bibliografía de la función de transferencia de una cavidad Fabry Perot y del patrón de interferencia de anillos que se obtiene pero en general se muestran para condiciones del experimento de cavidades grandes (varios milímetros y/o centímetros) (Nichelatti & Salvetti, 1995) (Abu-Safia et al, 1994) y para cinturas del haz o muy pequeñas (Tsujiie & Kawamura, 2018) o muy grandes (Hecht, 2016). También existen muy buenos simuladores pero para software que no son de acceso abierto (Degallaix, 2010).…”

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Interferencia de anillos con haces gaussianos y esféricos en Cavidades Fabry Perot medianas

Cerrotta

Morel²,

Torga³

2020

AJEA

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Se estudio la función Interferométrica radial de transferencia para un haz esférico y un haz gaussiano en cavidades Fabry Perot medianas. Se simularon las múltiples reflexiones de los haces dentro de la cavidad para varias longitudes de onda y se observó el patrón de interferencia perpendicular al eje axial, el cual tiene forma de múltiples anillos concéntricos. Se estudiaron las condiciones necesarias de anchos de cavidades y cinturas de haces de centenas de micrones para poder observar los anillos. Se estudió la forma de estos patrones, en especial se analizó el ancho de los picos, el contraste y el rango espectral libre ya que son características que pueden permitir utilizar a la cavidad como detector de la técnica de Interferometría de Baja Coherencia.

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“…Therefore, when a laser beam is used, the characteristics of a Fabry- . Another method described the incident Gaussian beam by its planewave Fourier expansions and then calculated the corresponding spatial and spectral responses of a Fabry-Perot interferometer (F. Moreno at al., 1992; E. Nichelatti et al, 1995). However, these methods were applicable only to Fabry-Perot microcavities with mirrors of single layer and even so, they could not provide explicit analytical expressions.…”

Section: Motivation For Developing a Different Modelmentioning

confidence: 99%

Development of optical sensing based mems fabry- perot pressure sensors

Guo¹

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Optical metrology offers significant advantages in remote sensing and has been recently developed as an alternative to conventional piezoresistive and capacitive sensing techniques used for sensing applications capable of operating in harsh environments. Recent advancement in silicon micromachining techniques makes optical sensing devices more feasible for commercialization by reducing sizes and improving performance and manufacturability. Unfortunately, some common issues, such as signal-averaging effect induced by the non-planar pressurized deflection, crosssensitivity to temperature and measurement errors arising from the process-induced variations, are major stumbling blocks facing the successful realization of this type of pressure sensors. In this study, a high-performance single deeply corrugated diaphragm (SDCD) was developed to enable optical sensing technology to be better realized with MEMS technology. The key novelty marking the proposed SDCD is that it consists of a flat bottom-region that behaves as a normal flat diaphragm, and suspending sidewalls that serve as stress concentrator and buffer, thereby enhancing flatness of the diaphra,m under pressurized deflection while reducing temperature dependence by releasing the thermally induced stress. The non-planar deflection behavior of different types of sensing diaphragm was studied using FE analysis and the resultant signal averaging effects of different Fabry-Perot pressure sensors were modeled and simulated. Substantial reduction in signal averaging effect of Fabry-Perot pressure sensor using SDCD has been demonstrated. Based on the

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Spatial and spectral response of a Fabry–Perot interferometer illuminated by a Gaussian beam

Cited by 25 publications

References 11 publications

Modelling Fabry-Pérot etalons illuminated by focussed beams

Modelling Fabry-Pérot etalons illuminated by focussed beams

Interferencia de anillos con haces gaussianos y esféricos en Cavidades Fabry Perot medianas

Development of optical sensing based mems fabry- perot pressure sensors

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