Model for tuning an external-cavity diode laser by polarization locking

Thorsten Führer; Sabine Euler; Thomas Walther

doi:10.1364/JOSAB.28.000508

Journal of the Optical Society of America B
Vol. 28,
Issue 3,
pp. 508-514
(2011)
•https://doi.org/10.1364/JOSAB.28.000508

Model for tuning an external-cavity diode laser by polarization locking

Thorsten Führer, Sabine Euler, and Thomas Walther

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Thorsten Führer, Sabine Euler, and Thomas Walther, "Model for tuning an external-cavity diode laser by polarization locking," J. Opt. Soc. Am. B 28, 508-514 (2011)

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Abstract

Recently, we have demonstrated large mode-hop free tuning of an external-cavity diode laser with an off-the-shelf laser diode. This novel approach employs a closed-loop control based on polarization spectroscopy. In this paper, we derive a model capable of describing multicavity laser systems with polarization-dependent elements. We successfully apply it to explain the peculiar form of our error signal.

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Parameter	Description	Lower	Upper	Unit
$d_{20}$	Length of the external resonator	60.000	60.001	$mm$
$d_{21}$	Length coefficient external resonator	$- 1.55$	$- 1.50$	$μm / V$
$d_{22}$	Length coefficient external resonator	$- 70$	$- 60$	$nm / V^{2}$
$r_{x, 3}$	Grating efficiency for p-polarization	0.40	0.65
$r_{y, 3}$	Grating efficiency for s-polarization	0.08	0.14
$d_{1}$	Optical length of the laser diode	3.700	3.701	$mm$
$r_{1}$	Reflectivity laser diode rear facet	0.30	0.99
$r_{2}$	Reflectivity laser diode front facet	0.01	0.36
y	Polarization dependence of the laser diode	0.5	1.0
$λ_{0}$	Wavelength of the laser	779.99	780.01	$nm$
$h_{0}$	position of the first mode-hop	$- 5.0$	5.0	$pm$
$h_{f}$	Free spectral range between two mode-hops	$- 5.2$	$- 4.8$	$pm$
α	QWP angle	$\pm 10 °$ of experimental setting

Data Set	Parameter	Value
	$d_{20}$	$(60.0009 \pm 6 \times 10^{- 4}) mm$
	$d_{21}$	$(- 1.525 \pm 5 \times 10^{- 3}) μm / V$
	$d_{22}$	$(- 68 \pm 3) nm / V^{2}$
	$r_{3, x}$	$(0.56 \pm 0.08)$
	$r_{3, y}$	$(0.13 \pm 0.07)$
	$d_{1}$	$(3.70021 \pm 2 \times 10^{- 5}) mm$
	$r_{1}$	0.99
	$r_{2}$	$(0.03 \pm 0.04)$
	y	$(0.84 \pm 0.05)$
1	$λ_{0}$	$(779.998 \pm 0.007) nm$
1	$h_{0}$	$(0.0109 \pm 0.0008) pm$
1	$h_{f}$	$(- 5.07201 \pm 5 \times 10^{- 5}) pm$
1	α	$10 °$
2	$λ_{0}$	$(780.007 \pm 0.007) nm$
2	$h_{0}$	$(0.39 \pm 0.3) pm$
2	$h_{f}$	$(- 5.073 \pm 0.002) pm$
2	α	$104 °$
3	$λ_{0}$	$(780.005 \pm 0.007) nm$
3	$h_{0}$	$(- 28.1 \pm 0.1) pm$
3	$h_{f}$	$(- 5.077 \pm 0.002) pm$
3	α	$112 °$

Parameter	Description	Lower	Upper	Unit
$d_{20}$	Length of the external resonator	60.000	60.001	$mm$
$d_{21}$	Length coefficient external resonator	$- 1.55$	$- 1.50$	$μm / V$
$d_{22}$	Length coefficient external resonator	$- 70$	$- 60$	$nm / V^{2}$
$r_{x, 3}$	Grating efficiency for p-polarization	0.40	0.65
$r_{y, 3}$	Grating efficiency for s-polarization	0.08	0.14
$d_{1}$	Optical length of the laser diode	3.700	3.701	$mm$
$r_{1}$	Reflectivity laser diode rear facet	0.30	0.99
$r_{2}$	Reflectivity laser diode front facet	0.01	0.36
y	Polarization dependence of the laser diode	0.5	1.0
$λ_{0}$	Wavelength of the laser	779.99	780.01	$nm$
$h_{0}$	position of the first mode-hop	$- 5.0$	5.0	$pm$
$h_{f}$	Free spectral range between two mode-hops	$- 5.2$	$- 4.8$	$pm$
α	QWP angle	$\pm 10 °$ of experimental setting

Data Set	Parameter	Value
	$d_{20}$	$(60.0009 \pm 6 \times 10^{- 4}) mm$
	$d_{21}$	$(- 1.525 \pm 5 \times 10^{- 3}) μm / V$
	$d_{22}$	$(- 68 \pm 3) nm / V^{2}$
	$r_{3, x}$	$(0.56 \pm 0.08)$
	$r_{3, y}$	$(0.13 \pm 0.07)$
	$d_{1}$	$(3.70021 \pm 2 \times 10^{- 5}) mm$
	$r_{1}$	0.99
	$r_{2}$	$(0.03 \pm 0.04)$
	y	$(0.84 \pm 0.05)$
1	$λ_{0}$	$(779.998 \pm 0.007) nm$
1	$h_{0}$	$(0.0109 \pm 0.0008) pm$
1	$h_{f}$	$(- 5.07201 \pm 5 \times 10^{- 5}) pm$
1	α	$10 °$
2	$λ_{0}$	$(780.007 \pm 0.007) nm$
2	$h_{0}$	$(0.39 \pm 0.3) pm$
2	$h_{f}$	$(- 5.073 \pm 0.002) pm$
2	α	$104 °$
3	$λ_{0}$	$(780.005 \pm 0.007) nm$
3	$h_{0}$	$(- 28.1 \pm 0.1) pm$
3	$h_{f}$	$(- 5.077 \pm 0.002) pm$
3	α	$112 °$

Abstract

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Equations (20)

Journal of the Optical Society of America B