Cavity ring-down spectroscopy with Fourier-transform-limited light pulses

Martin, J.; Paldus, Barbara A.; Zalicki, P.; Wahl, E.H.; Owano, T. G.; Harris, James S.; Kruger, C.H.; Zare, Richard N.

doi:10.1016/0009-2614(96)00609-4

Cited by 45 publications

(31 citation statements)

References 13 publications

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“…The supercontinuum beam was focused to the centre of the cavity to prevent excessive excitation of higher order transverse modes. Generally speaking, the excitation of multiple cavity modes can cause mode beating and non-exponential intensity decays [40][41][42]. However, in a non-stabilised cavity, like the one used here, mode-beating effects tend to average out [40].…”

Section: Resultsmentioning

confidence: 99%

A calibration method for broad-bandwidth cavity enhanced absorption spectroscopy performed with supercontinuum radiation

et al. 2010

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Section: Resultsmentioning

confidence: 99%

A calibration method for broad-bandwidth cavity enhanced absorption spectroscopy performed with supercontinuum radiation

et al. 2010

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“…The spatial overlap factor is given by the projection of the incident field, i*,-(jt,y,z), onto the transverse mode functions of the cavity (4,5), C mn = f / -W) i|C n (*,y,-tf/2) dxdy. (7 ) Here, i/r^ (x,y,z) are the Gauss-Hermite polynomials. The spatial partitioning of the laser input energy among the different cavity transverse modes is given byf^ = IC^lVElQJ 2 .…”

Section: Theoretical Model Of Cavity-ringdown Spectroscopymentioning

confidence: 99%

“…The response of a ringdown cavity to the incident excitation field is embodied by the eigenmodes of the cavity (4)(5)(6)(7). The net field exiting a ringdown cavity is simply a weighted sum of all of the excited cavity eigenmodes, where the weighting of each mode depends on the overlap of the excitation field spectrum with the cavity eigenfrequency structure, and on the spatial overlap of the transverse profile of the incident field with the spatial structure of the cavity eigenmodes.…”

Section: Theoretical Model Of Cavity-ringdown Spectroscopymentioning

confidence: 99%

Quantitative Absorption Measurements Using Cavity-Ringdown Spectroscopy with Pulsed Lasers

Looney

Hodges

Zee

1999

ACS Symposium Series

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The theory and implementation of quantitative gas phase absorption measurements based on cavity-ringdown spectroscopy with pulsed lasers is discussed. The response of ringdown cavities is modeled using an eigenmode description of the cavity fields, and expressions for a number of measurable quantities are given in terms of experimental parameters. Results for long and short ringdown cavities are presented and compared, and it is shown that absolute, high-resolution absorption line shapes can be obtained using a pulsed laser and a short cavity.Cavity-ringdown spectroscopy (CRDS) is a relatively new absorption spectroscopy that promises sensitive and accurate absorption measurements. The power of CRDS for trace gas monitoring and quantitative absorption measurements was recognized from the earliest measurements by O'Keefe and Deacon (1). Absorptivity measurements of <10" 9 cm* 1 have been reported (2), and the shot-noise detection limit is <10" 13 cm" 1 .A conventional implementation (3) of CRDS uses a pulsed laser to excite a linear cavity formed from two highly reflective, spherical mirrors. Usually the cavity design is not particularly special, (i.e. not confocal or otherwise degenerate), and the cavity is not length stabilized. In such an arrangement, a cavity can store the optical field for durations as long as 10" 4 s, during which time the intensity decays exponentially in time with a time constant called the ringdown time. This decay is measured at the exit of the cavity, the signal is digitized, and the ringdown time is extracted from the digitized signal. For a cavity filled with an absorbing gas under conditions when the Beer-Lambert law is valid, the ring-down time is extracted using the relationship, T(CO) = c>[(l -tf) + cc(G))0] ' (1)

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“…From a statistical analysis of the observed transients the relative standard deviation in the ringdown time could be extracted. Martin et al 9 discussed the implications of using single-mode Fourier-transformlimited pulses in analyzing the interference effects in the resonator producing mode-beating oscillations in the exiting waveform. Lee et al 10 performed a timedomain study on cavity ringdown ͑CRD͒ signals from a resonator under pulsed laser excitations, focusing on the idealized case of a Fourier-transform-limited Gaussian laser pulse with complete mode match to the lowest cavity mode, including the subtle effects of carrier frequency detuning from this cavity mode.…”

Section: Introductionmentioning

confidence: 99%

Quantitative analysis of decay transients applied to a multimode pulsed cavity ringdown experiment

et al. 2001

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The intensity and noise properties of decay transients obtained in a generic pulsed cavity ringdown experiment are analyzed experimentally and theoretically. A weighted nonlinear least-squares analysis of digitized decay transients is shown that avoids baseline offset effects that induce systematic deviations in the estimation of decay rates. As follows from simulations not only is it a method that provides correct estimates for the values of the fit parameters, but moreover it also yields a correct estimate of the precision of the fit parameters. It is shown experimentally that a properly aligned stable optical resonator can effectively yield monoexponential decays under multimode excitation. An on-line method has been developed, based on a statistical analysis of the noise properties of the decay transients, to align a stable resonator toward this monoexponential decay.

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Cavity ring-down spectroscopy with Fourier-transform-limited light pulses

Cited by 45 publications

References 13 publications

A calibration method for broad-bandwidth cavity enhanced absorption spectroscopy performed with supercontinuum radiation

A calibration method for broad-bandwidth cavity enhanced absorption spectroscopy performed with supercontinuum radiation

Quantitative Absorption Measurements Using Cavity-Ringdown Spectroscopy with Pulsed Lasers

Quantitative analysis of decay transients applied to a multimode pulsed cavity ringdown experiment

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