Numerical simulation and experimental studies of longitudinally excited miniature solid-state lasers

G. Ronald Hadley; A. Owyoung; P. Esherick; J. P. Hohimer

doi:10.1364/AO.27.000819

Applied Optics
Vol. 27,
Issue 5,
pp. 819-827
(1988)
•https://doi.org/10.1364/AO.27.000819

Numerical simulation and experimental studies of longitudinally excited miniature solid-state lasers

G. Ronald Hadley, A. Owyoung, P. Esherick, and J. P. Hohimer

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G. Ronald Hadley, A. Owyoung, P. Esherick, and J. P. Hohimer, "Numerical simulation and experimental studies of longitudinally excited miniature solid-state lasers," Appl. Opt. 27, 819-827 (1988)

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Abstract

We present a numerical model for the transient response of a longitudinally pumped miniature solid-state laser. The model is suitable for both regenerative amplifiers and oscillators, provided the latter run in a single mode. The results of our calculations compare well with measurements of the peak output powers and pulse widths for a Nd:YAG rod pumped by a ten-stripe diode laser array. Our model predicts saturation at peak powers of approximately twice the 850 mW reported here due to filling of the lower laser level. To overcome this power limitation due to saturation, we also explore the use of miniature Nd:glass laser amplifiers to boost the single-frequency Nd:YAG pulses to powers exceeding 200 W.

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Parameter		Value
Ground state density	N_g	1.79 × 10²⁰ cm⁻³
Pump cross section	σ_a	2.9 × 10⁻²⁰ cm²
Stimulated emission cross section	σ_s	2.7 × 10⁻¹⁹ cm²
Reflectivity 0 1064 nm (left facet)	R₁	0.9985
Reflectivity 0 1064 nm (right facet)	R₂	0.98
Reflectivity 0 810 nm (both facets)	${R^{'}}_{1} {R^{'}}_{2}$	0.1
Focal length (left facet)	f₁	5 × 10⁵ cm
Focal length (right facet)	f₂	2.5 cm
Rod length	L	0.4 cm
Rod index of refraction	n	1.818
Pump wavelength	λ_p	0.1800μ
Lasing wavelength	λ_s	1.06μ
Scattering losses	s	0.002 cm⁻¹
Spatial hole burning factor	f_hb	0.39
Spontaneous lifetime	τ_sp	2.3 × 10⁻⁴ sec
Lower laser level lifetime	τ_l	3.0 × 10⁻⁸sec

Parameter		Value
Ground state density	N_g	1.4 × 10²⁰ cm⁻³
Pump cross section	σ_a	2.9 × 10⁻²⁰ cm²
Stimulated emission cross section	σ_s	2.0 × 10⁻²⁰ cm²
Scattering loss	s	0.002 cm⁻¹
1.06μ Reflectivity (left facet)	R₁	0.91 − 0.98
1.06μ Reflectivity (right facet)	R₂	0.9985
0.815μ Reflectivity (left facets)	${R^{'}}_{1}$	0.81
0.815μ Reflectivity (right facets)	${R^{'}}_{2}$	0.10
Focal length (left facet)	f₁	5 × 10⁵ cm
Focal length (right facet)	f₂	2.5 cm
Rod length	L	1.2 cm
Rod index of refraction	n	1.509
Pump wavelength	λ_p	0.8100μ
Lasing wavelength	λ_s	1.06μ
Spatial hole burning factor	f_hb	0.50
Spontaneous lifetime	τ_sp	4.8 × 10⁻⁴ sec
Lower laser level lifetime	τ_l	3.0 × 10⁻⁸ sec

Parameter		Value
Ground state density	N_g	1.79 × 10²⁰ cm⁻³
Pump cross section	σ_a	2.9 × 10⁻²⁰ cm²
Stimulated emission cross section	σ_s	2.7 × 10⁻¹⁹ cm²
Reflectivity 0 1064 nm (left facet)	R₁	0.9985
Reflectivity 0 1064 nm (right facet)	R₂	0.98
Reflectivity 0 810 nm (both facets)	${R^{'}}_{1} {R^{'}}_{2}$	0.1
Focal length (left facet)	f₁	5 × 10⁵ cm
Focal length (right facet)	f₂	2.5 cm
Rod length	L	0.4 cm
Rod index of refraction	n	1.818
Pump wavelength	λ_p	0.1800μ
Lasing wavelength	λ_s	1.06μ
Scattering losses	s	0.002 cm⁻¹
Spatial hole burning factor	f_hb	0.39
Spontaneous lifetime	τ_sp	2.3 × 10⁻⁴ sec
Lower laser level lifetime	τ_l	3.0 × 10⁻⁸sec

Parameter		Value
Ground state density	N_g	1.4 × 10²⁰ cm⁻³
Pump cross section	σ_a	2.9 × 10⁻²⁰ cm²
Stimulated emission cross section	σ_s	2.0 × 10⁻²⁰ cm²
Scattering loss	s	0.002 cm⁻¹
1.06μ Reflectivity (left facet)	R₁	0.91 − 0.98
1.06μ Reflectivity (right facet)	R₂	0.9985
0.815μ Reflectivity (left facets)	${R^{'}}_{1}$	0.81
0.815μ Reflectivity (right facets)	${R^{'}}_{2}$	0.10
Focal length (left facet)	f₁	5 × 10⁵ cm
Focal length (right facet)	f₂	2.5 cm
Rod length	L	1.2 cm
Rod index of refraction	n	1.509
Pump wavelength	λ_p	0.8100μ
Lasing wavelength	λ_s	1.06μ
Spatial hole burning factor	f_hb	0.50
Spontaneous lifetime	τ_sp	4.8 × 10⁻⁴ sec
Lower laser level lifetime	τ_l	3.0 × 10⁻⁸ sec

Abstract

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Figures (7)

Tables (2)

Equations (14)

Applied Optics