Optimizing modulation transfer spectroscopy signals for frequency locking in the presence of depleted saturating fields

David J. Hopper; Esa Jaatinen

doi:10.1364/AO.47.002574

Applied Optics
Vol. 47,
Issue 14,
pp. 2574-2582
(2008)
•https://doi.org/10.1364/AO.47.002574

Optimizing modulation transfer spectroscopy signals for frequency locking in the presence of depleted saturating fields

David J. Hopper and Esa Jaatinen

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David J. Hopper and Esa Jaatinen, "Optimizing modulation transfer spectroscopy signals for frequency locking in the presence of depleted saturating fields," Appl. Opt. 47, 2574-2582 (2008)

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- Lasers and Laser Optics
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About this Article
History
- Original Manuscript: January 28, 2008
- Revised Manuscript: April 10, 2008
- Manuscript Accepted: April 11, 2008
- Published: May 2, 2008

Abstract

A theoretical model of modulation transfer spectroscopy (MTS) that includes pump beam depletion is presented and experimentally verified with data covering visible iodine transitions at 532, 543, and $612 nm$ . This model is used to determine the values for pressure, interaction length, and saturation intensity that yield maximum MTS signals for frequency locking to iodine transitions. The approach is demonstrated for iodine transitions at 532, 633, and $778 nm$ , with the results showing that theoretically the frequency instability scales inversely to the absorption coefficient.

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	$532 nm$ [17]	$543 nm$ [26]	$612 nm$ [24, 29]
Hyperfine feature	a[10] - R(56)	b[10] - R(106)	b[15] – P(48)
α ( $m^{- 1} {Pa}^{- 1}$ )	0.28	0.33	0.11
c ( ${Pa}^{- 1}$ )	0.15	0.1	0.214
$I_{s 0}$ ( $mW / {mm}^{2}$ )	0.1	0.174	0.425

	$532 nm$	$633 nm$	$778 nm$
α ( $m^{- 1} {Pa}^{- 1}$ )	0.28	0.012	0.000045
TSNR (arb. units)	$7 \times 10^{- 2}$	$4 \times 10^{- 3}$	$8 \times 10^{- 5}$
p (Pa)	5	100	1000
$I_{s a t}$ ( $mW / {mm}^{2}$ )	3	175	2500
$\tilde{γ}$ (MHz)	1.4	8.6	100

	$532 nm$ [17]	$543 nm$ [26]	$612 nm$ [24, 29]
Hyperfine feature	a[10] - R(56)	b[10] - R(106)	b[15] – P(48)
α ( $m^{- 1} {Pa}^{- 1}$ )	0.28	0.33	0.11
c ( ${Pa}^{- 1}$ )	0.15	0.1	0.214
$I_{s 0}$ ( $mW / {mm}^{2}$ )	0.1	0.174	0.425

	$532 nm$	$633 nm$	$778 nm$
α ( $m^{- 1} {Pa}^{- 1}$ )	0.28	0.012	0.000045
TSNR (arb. units)	$7 \times 10^{- 2}$	$4 \times 10^{- 3}$	$8 \times 10^{- 5}$
p (Pa)	5	100	1000
$I_{s a t}$ ( $mW / {mm}^{2}$ )	3	175	2500
$\tilde{γ}$ (MHz)	1.4	8.6	100

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Equations (19)

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