Multiphoton ionization of atoms in the presence of multiple resonances

S. A. Kotochigova

doi:10.1364/JOSAB.9.001215

Journal of the Optical Society of America B
Vol. 9,
Issue 8,
pp. 1215-1224
(1992)
•https://doi.org/10.1364/JOSAB.9.001215

Multiphoton ionization of atoms in the presence of multiple resonances

S. A. Kotochigova

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S. A. Kotochigova, "Multiphoton ionization of atoms in the presence of multiple resonances," J. Opt. Soc. Am. B 9, 1215-1224 (1992)

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Abstract

A model of multiple resonances between groups of discrete and autoionizing levels is proposed for the description of the process of multiphoton ionization. The phenomena of the extremely rapid broadening and growth of amplitudes of the multiphoton resonances, observed experimentally in the yield of Sr⁺ and Ba⁺ ions [ J. Phys. B. 14, 2253– 2359 ( 1981); Elementary Processes in Laser Radiation Field ( 1988), pp. 122– 153)] are explained on the basis of this model. The strong-coupling method was used in numerical calculations for Sr and Ba atoms in a strong laser field.

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Atom	Resonant States	J	Energy (cm⁻¹)	Width, (cm⁻¹)	Transition	Number of Photons	Matrix Element (a.u.)
Sr	5p^2 3P	2	35674.6^a	–	5s^2 1S₀–5p^2 3P₂	2	5.3
	4d4f[3/2]°	1	53546.1^b	20	${5_{s}}^{2} {{}^{1}S}_{0} - 4 d 4 f {(7 / 2)}_{3}^{°}$	3	2 × 10⁷
	4d4f(7/2)	3	53292.3^c	19	${5_{s}}^{2} {{}^{1}S}_{0} - 4 d 4 f {(5 / 2)}_{3}^{°}$	3	2 × 10⁷
	5p6s¹P	1	53 597.4^b	104	${5_{s}}^{2} {{}^{1}S}_{0} - 5 p 6 s^{1} P_{1}^{°}$	3	5 × 10⁷
	4d4f(5/2)	3	53641.5^c	24	${5_{s}}^{2} {{}^{1}S}_{0} - 4 d 4 f {[3 / 2]}_{1}^{°}$	3	10⁷
					5s^2 1S₀–5sΣp	3	1.8 × 10⁵
					5s^2 1S₀–5sΣf	3	5 × 10⁴
					5s^2 1S₀–4dΣs	4	7 × 10⁸
					5s^2 1S₀–4dΣd	4	4 × 10⁹
					${5_{p}}^{2} {{}^{3}P}_{2} - 4 d 4 f {[3 / 2]}_{1}^{°}$	1	10⁻⁴
					${5_{p}}^{2} {{}^{3}P}_{2} - 4 d 4 f {(7 / 2)}_{3}^{°}$	1	5 × 10⁻⁴
					${5_{p}}^{2} {{}^{3}P}_{2} - 4 d 4 f {(5 / 2)}_{3}^{°}$	1	7 × 10⁻⁴
					5p^2 3P₂–5p6s¹P₁	1	10⁻¹
					5p^2 3P₂–5sΣp	1	10⁻²
					5p^2 3P₂–5sΣf	1	7 × 10⁻³
					5p^2 3P₂–4dΣs	2	1
					5p^2 3P₂–4dΣd	2	1
					4d4f–4dΣs,∑d	1	10 ⁻²
Ba	6s6d¹D	2	30236.7^a	–	6s^2 1S₀–6s6d¹D₂	2	4
	5d_5/27f[3/2]°	1	45441.49^b	5.6	${6_{s}}^{2} {{}^{1}S}_{0} - 5 d_{5 / 2} 7 f {[3 / 2]}_{1}^{°}$	3	10⁸
	5d_3/29f[3/2]°	1	45534.7^b	5.2	${6_{s}}^{2} {{}^{1}S}_{0} - 5 d_{3 / 2} 9 f {[3 / 2]}_{1}^{°}$	3	3 × 10⁸
	5d_3/212p[3/2]°	1	45308.7^b	4.3	${6_{s}}^{2} {{}^{1}S}_{0} - 5 d_{3 / 2} 12 p {[3 / 2]}_{1}^{°}$	3	2 × 10⁸
	5d_3/212p[1/2]°	1	45305.78^b	4.2	${6_{s}}^{2} {{}^{1}S}_{0} - 5 d_{3 / 2} 12 p {[1 / 2]}_{1}^{°}$	3	5 × 10⁷
					6s^2 1S₀–6s∑p	3	2 × 10⁵
					6s^2 1S₀–6s∑f	3	0.3 × 10⁵
					6s^2 1S₀–5d∑s	4	4 × 10⁸
					6s^2 1S₀–5d∑d	4	4.6 × 10⁹
					$6 s 6 d {{}^{1}D}_{2} - 5 d_{5 / 2} 7 f {[3 / 2]}_{1}^{°}$	1	10⁻²
					$6 s 6 d {{}^{1}D}_{2} - 5 d_{3 / 2} 9 f {[3 / 2]}_{1}^{°}$	1	3 × 10⁻²
					$6 s 6 d {{}^{1}D}_{2} - 5 d_{3 / 2} 12 p {[3 / 2]}_{1}^{°}$	1	2 × 10⁻⁴
					$6 s 6 d {{}^{1}D}_{2} - 5 d_{3 / 2} 12 p {[1 / 2]}_{1}^{°}$	1	10⁻⁴
					6s6d¹D₂–6sΣp,∑f	1	10⁻¹
					6s6d¹D₂–5dΣs,Σd	2	10
					$5 d 7 f {[3 / 2]}_{1}^{°} - 5 d Σ s, Σ d$	1	10⁻²
					$5 d 9 f {[3 / 2]}_{1}^{°} - 5 d Σ s, Σ d$	1	10⁻²
					$5 d 12 p {[3 / 2]}_{1}^{°} - 5 d Σ s, Σ d$	1	10⁻²

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Journal of the Optical Society of America B