Spatiospectral transmission of a plane-mirror Fabry–Perot interferometer with nonuniform finite-size diffraction beam illuminations

Abstract

The transmission of a plane-mirror Fabry-Perot (PFP) interferometer is theoretically modeled and investigated by treating the spatial and spectral features in a unified manner. A spatiospectral transfer function is formulated and utilized to describe the beam propagation and the multiple-beam interference occurring in an ideal one-dimensional strip PFP interferometer with no diffraction loss. The spatial-frequency filtration of a finite-size beam input not only determines the transmitted spatial beam profile but also plays a crucial role in affecting the overall spectral transmittance. The inherent deviations of the spectral transmittance from what we know as the standard Airy's formula are revealed in diverse aspects, including the less-than-unity peak transmittance, the displacement of a resonance peak frequency, and the asymmetric detuning profile. Our theoretical analysis extends to the misaligned PFP interferometers, such as the cases in which non-normal-incidence beams or wedge-aligned mirrors are used that could severely degrade the effective interferometer finesse.

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

“…Existen otros trabajos que se dedican a calcular la ITF de cavidades donde haya desalineaciones, el haz incidente tenga cierta inclinación o formas espaciales más complejas (Lee et al, 2002)(en especial para otros modos transverso electromagnéticos). Por lo general la descripción matemática que utilizan es la de Angular Spectrum (Degallaix, 2010) para mejorar la eficiencia de la simulación.…”

Modelling Fabry-Pérot etalons illuminated by focussed beams

“…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.…”

“…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. The use of the angular spectrum formalism has the advantages of allowing the simulation of arbitrary beams, as well as being computationally efficient since the use of the Airy function obviates the need to calculate each round trip individually.…”

Modeling of Vibration Sensing with Variable Fabry-Perot System

“…Mechanical vibration measurement allows one to characterize and study the performance of a mechanical system such as a machine operated not only under normal conditions but also at various levels of its operating cycle to meet increasing demands of higher productivity and economical design which, in turn, can lead to higher operating speeds and efficiency [1,2]. Besides vibrations, there are many physical and chemical [3,4,6,8] parameters that have been under investigation through various sensing mechanism and effects. Acoustic waves sensing applications have been widely required for many industrial applications [2,4,5].…”

“…Besides vibrations, there are many physical and chemical [3,4,6,8] parameters that have been under investigation through various sensing mechanism and effects. Acoustic waves sensing applications have been widely required for many industrial applications [2,4,5]. Therefore, the choice of a particular sensor type for a given sensing application depends upon the parameters being measured and the physical properties of the sensor.…”