Nonresonant Cavity as a Long Path Absorption Cell

H. A. Gebbie; R. A. Bohlander

doi:10.1364/AO.11.000723

Applied Optics
Vol. 11,
Issue 4,
pp. 723-728
(1972)
•https://doi.org/10.1364/AO.11.000723

Nonresonant Cavity as a Long Path Absorption Cell

H. A. Gebbie and R. A. Bohlander

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H. A. Gebbie and R. A. Bohlander, "Nonresonant Cavity as a Long Path Absorption Cell," Appl. Opt. 11, 723-728 (1972)

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Abstract

We have constructed spherical specularly reflecting nonresonant cavities for use as absorption cells in far ir spectroscopy. A theory of their performance is developed and shown to be in agreement with experiment. An example is given of their use in a research program to ascertain the composition of water vapor. The essential advantage of these cells is that they give long pathlengths with high energy throughput.

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	Small cavity	Large cavity
The mean spacing of the resonances $\bar{Δ ν}$	2.6 × 10⁻⁴	2.8 × 10⁻⁵
	3.4× 10⁻⁵	4 × 10⁻⁶^b
	3 × 10⁻⁶^b	4 × 10⁻⁷^b
The minimum width of the resonances δν₀	2.3 × 10⁻⁴	5.0 × 10⁻⁵
	3.4 × 10⁻⁴	8.3 × 10⁻⁵
	6.7 × 10⁻⁴	1.8 × 10⁻⁴

	Small cavity	Large cavity
Diameter of the input and output hole, d	0.3 cm	0.6 cm
Radius of a sphere, r	6.5 cm	21.5 cm
Semicone angle of input and output radiation, θ_c	14°	26.5°
Geometrical part of hole term in Eq. (16), 2d/2πr	0.015	0.009
Angular part of hole term in Eq. (16), $\frac{1}{2 θ_{c}} {log}_{e} (\frac{1 + sin θ_{c}}{1 - sin θ_{c}})$	1.0	1.04
Absorptance (1 − R)	0.004	0.004
	0.013	0.013
	0.04	0.04
Q factor of the empty cell, Q₀	2.1 × 10⁴	1.0 × 10⁶
	1.5×10⁵	6.0 × 10⁵
	7.4 × 10⁵	2.7 × 10⁶

	Small cavity	Large cavity
The mean spacing of the resonances $\bar{Δ ν}$	2.6 × 10⁻⁴	2.8 × 10⁻⁵
	3.4× 10⁻⁵	4 × 10⁻⁶^b
	3 × 10⁻⁶^b	4 × 10⁻⁷^b
The minimum width of the resonances δν₀	2.3 × 10⁻⁴	5.0 × 10⁻⁵
	3.4 × 10⁻⁴	8.3 × 10⁻⁵
	6.7 × 10⁻⁴	1.8 × 10⁻⁴

	Small cavity	Large cavity
Diameter of the input and output hole, d	0.3 cm	0.6 cm
Radius of a sphere, r	6.5 cm	21.5 cm
Semicone angle of input and output radiation, θ_c	14°	26.5°
Geometrical part of hole term in Eq. (16), 2d/2πr	0.015	0.009
Angular part of hole term in Eq. (16), $\frac{1}{2 θ_{c}} {log}_{e} (\frac{1 + sin θ_{c}}{1 - sin θ_{c}})$	1.0	1.04
Absorptance (1 − R)	0.004	0.004
	0.013	0.013
	0.04	0.04
Q factor of the empty cell, Q₀	2.1 × 10⁴	1.0 × 10⁶
	1.5×10⁵	6.0 × 10⁵
	7.4 × 10⁵	2.7 × 10⁶

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Equations (19)

Applied Optics