Input/output resonance correlation in laser-induced emission from microdroplets

J. D. Eversole; H-B. Lin; A. J. Campillo

doi:10.1364/JOSAB.12.000287

Journal of the Optical Society of America B
Vol. 12,
Issue 2,
pp. 287-296
(1995)
•https://doi.org/10.1364/JOSAB.12.000287

Input/output resonance correlation in laser-induced emission from microdroplets

J. D. Eversole, H-B. Lin, and A. J. Campillo

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J. D. Eversole, H-B. Lin, and A. J. Campillo, "Input/output resonance correlation in laser-induced emission from microdroplets," J. Opt. Soc. Am. B 12, 287-296 (1995)

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Abstract

An experimental investigation of the effect of access to different resonant modes by pump laser radiation (input modes) on fluorescent emission spectra was performed on ethanol microdroplets. The droplets, containing ≈ 2 × 10⁻⁷ M concentration of Rhodamine 6G dye as a fluorophor, were generated as a monodisperse stream with continuously variable sizes from ≈6.5 to 6.6 μm in radius. This range of droplet size permitted Ar⁺ laser pump radiation (514.5 nm) to become resonant with the droplet for both TE and TM modes of orders 1–4. Emission spectra from 530 to 585 nm were obtained for each of the resolved input resonances. The results clearly show higher relative intensities in emission modes that have the same mode order as the pump radiation resonance. Convolution integrals of radial profiles of the input and output modes are consistent with the general pattern of observed spectral intensities.

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Equations (15)

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Output	Input

	${TE}_{102}^{1}$	${TE}_{95}^{2}$	${TE}_{90}^{3}$	${TE}_{86}^{4}$
${TE}_{91}^{1}$	0.998	0.45	0.27	0.20
${TE}_{85}^{2}$	0.50	0.991	0.53	0.33
${TM}_{85}^{2}$	0.48	0.987	0.52	0.32
${TE}_{80}^{3}$	0.30	0.59	0.972	0.56
${TE}_{76}^{4}$	0.22	0.37	0.62	0.980

Mode	Order	Pol.	TE1	TE2	TE3	TE4	TM1	TM2	TM3
88	1	E					2.1
82	2	E					1.3
77	3	E					1.0
88	1	M		3.5			2.0
82	3	M		1.5			1.1
77	2	M		4.1			1.5
89	1	E	2.1	2.9	2.3		2.6	2.3
83	2	E	1.3	3.8	2.5		1.6	3.1	2.6
78	3	E	1.2	1.5	2.1		1.0	1.6	1.8
89	1	M	3.3	4.3	3.1	1.3	2.7	3.4	3.1
78	3	M	1.2	1.8	2.3	1.1	1.4	1.5	1.8
83	2	M	1.9	5.2	3.6	1.6	2.0	3.9	3.1
90	1	E	3.2	3.6	3.0	1.3	3.3	3.6	3.1
84	2	E	1.9	4.5	2.8	1.4	2.0	4.0	3.3
79	3	E	1.2	1.9	2.4	1.1	1.5	2.0	2.4
90	1	M	4.4	6.7	3.5	1.6	4.2	4.3	3.5
79	3	M	1.6					1.5
84	2	M	2.8	6.8	4.6	2.2	2.6	4.7	4.0
91	1	E	4.2	5.1	4.0	1.8	4.2	4.3	3.5
85	2	E	2.2	6.2	3.9	1.8	2.4	5.0	4.2
80	3	E	1.7	3.0	3.3	1.5	2.0	2.3	3.2
91	1	M	8.1	13.9	5.6	2.1	5.9	7.1	4.9
80	2	M	4.2	10.0	7.7	3.2	4.1	7.6	6.7
85	3	M
92	1	E	5.9	6.7	4.8	2.3	5.0	5.6	4.7
86	2	E	3.1	8.4	5.3	2.5	3.8	7.0	5.1
81	3	E	2.2	4.1	5.0	2.2	2.6	3.5	4.5
92	1	M	35.8	19.5	7.8	2.6	8.1	11.2	5.9
86	2	M	4.9	12.6	8.3	4.0	4.8	8.7	7.1
81	3	M							4.8
93	1	E	7.3	8.8	6.1	3.0	7.1	7.5	6.1
87	2	E	4.6	11.5	6.8	3.2	4.8	9.3	7.9
82	3	E	3.1	5.6	6.7	2.7	3.7	5.0	6.2
93	1	M	16.3	11.8	7.0	2.9	6.5	10.0	7.0
87	2	M	5.7	13.7	9.8	4.4	5.7	11.1	8.6
82	3	M	4.5	7.6	7.7	3.7	4.1	5.8	6.5
94	1	E	7.5	9.9	8.0	3.9	7.2	8.9	9.0
88	2	E	5.2	12.8	8.8	4.4	5.4	11.3	8.7
83	3	E	4.2	7.1	8.5	3.9	4.0	6.6	7.7
94	1	M	7.1	6.7	5.8	3.3	4.9	6.7	5.7
88	2	M	5.8	13.4	9.9	4.9	5.7	12.2	10.0
95	3	M	7.3	10.0	10.7	6.3	7.1	10.3	11.2
83	1	E
89	2	E	5.0	11.1	8.3	5.0	4.7	11.0	9.9
84	3	E	3.9	6.7	8.1	4.2	4.1	6.4	8.6
95	1	M	3.9	4.3			3.5	4.2	4.8
89	2	M	5.0	10.9	7.8	4.9	4.4	10.6	9.0
96	1	E	4.0	3.6		2.9	3.2	4.3	4.7
84	3	M	4.0	6.3	7.6	4.6	3.5	6.2	7.8
90	2	E	4.0	7.1	5.8	4.3	3.4	8.6	7.4
85	3	E	4.3	5.8	7.5	4.3	4.0	6.2	8.6
96	1	M
90	2	M	3.5	6.4	5.6	3.8	2.9	7.8	7.0
97	1	E
85	3	M	2.8	3.8	5.6	3.7	2.2	4.4	6.3
	4	E					2.2		2.6
91	2	E	2.2	3.3	3.2	2.9	2.0	5.0	4.7
97	1	M	1.6	1.5	1.7		1.4	2.0	2.4
86	3	E	2.3	2.6	3.9	2.9	1.7	3.5	4.8
98	2	M	1.7	2.7	2.5	2.3	1.3	3.8	3.4
91	1	E
86	3	M	1.2	1.8	2.8	2.4	1.2	2.4	3.5
	4	E					1.3		1.4
92	2	E	1.0	1.4	1.4	1.5	0.9	2.1	2.1
98	1	M						1.0	1.3
87	3	E	0.8	1.0	1.6	1.4		1.7	2.5
99	2	M						1.2	1.3
92	1	E				1.1
87	3	M						1.0	1.5
93	2	E							0.8

Input	Output

	TE1	TM1	TE2	TM2	TE3	TM3
TE1	4.9	4.2	2.9	4.3	2.5	2.7
TM1	4.3	4.4	2.8	3.7	2.7	2.3
TE2	6.2	6.9	6.6	9.2	4.5	3.8
TM2	5.2	5.7	6.0	8.3	4.4	3.6
TE3	4.7	4.9	4.7	7.2	4.9	5.2
TM3	5.3	4.2	4.7	6.9	5.0	4.6
TE4	2.5	2.1	2.9	3.6	3.0	3.1

Output	Input

	${TE}_{102}^{1}$	${TE}_{95}^{2}$	${TE}_{90}^{3}$	${TE}_{86}^{4}$
${TE}_{91}^{1}$	0.998	0.45	0.27	0.20
${TE}_{85}^{2}$	0.50	0.991	0.53	0.33
${TM}_{85}^{2}$	0.48	0.987	0.52	0.32
${TE}_{80}^{3}$	0.30	0.59	0.972	0.56
${TE}_{76}^{4}$	0.22	0.37	0.62	0.980

Mode	Order	Pol.	TE1	TE2	TE3	TE4	TM1	TM2	TM3
88	1	E					2.1
82	2	E					1.3
77	3	E					1.0
88	1	M		3.5			2.0
82	3	M		1.5			1.1
77	2	M		4.1			1.5
89	1	E	2.1	2.9	2.3		2.6	2.3
83	2	E	1.3	3.8	2.5		1.6	3.1	2.6
78	3	E	1.2	1.5	2.1		1.0	1.6	1.8
89	1	M	3.3	4.3	3.1	1.3	2.7	3.4	3.1
78	3	M	1.2	1.8	2.3	1.1	1.4	1.5	1.8
83	2	M	1.9	5.2	3.6	1.6	2.0	3.9	3.1
90	1	E	3.2	3.6	3.0	1.3	3.3	3.6	3.1
84	2	E	1.9	4.5	2.8	1.4	2.0	4.0	3.3
79	3	E	1.2	1.9	2.4	1.1	1.5	2.0	2.4
90	1	M	4.4	6.7	3.5	1.6	4.2	4.3	3.5
79	3	M	1.6					1.5
84	2	M	2.8	6.8	4.6	2.2	2.6	4.7	4.0
91	1	E	4.2	5.1	4.0	1.8	4.2	4.3	3.5
85	2	E	2.2	6.2	3.9	1.8	2.4	5.0	4.2
80	3	E	1.7	3.0	3.3	1.5	2.0	2.3	3.2
91	1	M	8.1	13.9	5.6	2.1	5.9	7.1	4.9
80	2	M	4.2	10.0	7.7	3.2	4.1	7.6	6.7
85	3	M
92	1	E	5.9	6.7	4.8	2.3	5.0	5.6	4.7
86	2	E	3.1	8.4	5.3	2.5	3.8	7.0	5.1
81	3	E	2.2	4.1	5.0	2.2	2.6	3.5	4.5
92	1	M	35.8	19.5	7.8	2.6	8.1	11.2	5.9
86	2	M	4.9	12.6	8.3	4.0	4.8	8.7	7.1
81	3	M							4.8
93	1	E	7.3	8.8	6.1	3.0	7.1	7.5	6.1
87	2	E	4.6	11.5	6.8	3.2	4.8	9.3	7.9
82	3	E	3.1	5.6	6.7	2.7	3.7	5.0	6.2
93	1	M	16.3	11.8	7.0	2.9	6.5	10.0	7.0
87	2	M	5.7	13.7	9.8	4.4	5.7	11.1	8.6
82	3	M	4.5	7.6	7.7	3.7	4.1	5.8	6.5
94	1	E	7.5	9.9	8.0	3.9	7.2	8.9	9.0
88	2	E	5.2	12.8	8.8	4.4	5.4	11.3	8.7
83	3	E	4.2	7.1	8.5	3.9	4.0	6.6	7.7
94	1	M	7.1	6.7	5.8	3.3	4.9	6.7	5.7
88	2	M	5.8	13.4	9.9	4.9	5.7	12.2	10.0
95	3	M	7.3	10.0	10.7	6.3	7.1	10.3	11.2
83	1	E
89	2	E	5.0	11.1	8.3	5.0	4.7	11.0	9.9
84	3	E	3.9	6.7	8.1	4.2	4.1	6.4	8.6
95	1	M	3.9	4.3			3.5	4.2	4.8
89	2	M	5.0	10.9	7.8	4.9	4.4	10.6	9.0
96	1	E	4.0	3.6		2.9	3.2	4.3	4.7
84	3	M	4.0	6.3	7.6	4.6	3.5	6.2	7.8
90	2	E	4.0	7.1	5.8	4.3	3.4	8.6	7.4
85	3	E	4.3	5.8	7.5	4.3	4.0	6.2	8.6
96	1	M
90	2	M	3.5	6.4	5.6	3.8	2.9	7.8	7.0
97	1	E
85	3	M	2.8	3.8	5.6	3.7	2.2	4.4	6.3
	4	E					2.2		2.6
91	2	E	2.2	3.3	3.2	2.9	2.0	5.0	4.7
97	1	M	1.6	1.5	1.7		1.4	2.0	2.4
86	3	E	2.3	2.6	3.9	2.9	1.7	3.5	4.8
98	2	M	1.7	2.7	2.5	2.3	1.3	3.8	3.4
91	1	E
86	3	M	1.2	1.8	2.8	2.4	1.2	2.4	3.5
	4	E					1.3		1.4
92	2	E	1.0	1.4	1.4	1.5	0.9	2.1	2.1
98	1	M						1.0	1.3
87	3	E	0.8	1.0	1.6	1.4		1.7	2.5
99	2	M						1.2	1.3
92	1	E				1.1
87	3	M						1.0	1.5
93	2	E							0.8

Input	Output

	TE1	TM1	TE2	TM2	TE3	TM3
TE1	4.9	4.2	2.9	4.3	2.5	2.7
TM1	4.3	4.4	2.8	3.7	2.7	2.3
TE2	6.2	6.9	6.6	9.2	4.5	3.8
TM2	5.2	5.7	6.0	8.3	4.4	3.6
TE3	4.7	4.9	4.7	7.2	4.9	5.2
TM3	5.3	4.2	4.7	6.9	5.0	4.6
TE4	2.5	2.1	2.9	3.6	3.0	3.1

Input	Output

	TE1	TM1	TE2	TM2	TE3	TM3
TE1	4.9	4.2	2.9	4.3	2.5	2.7
TM1	4.3	4.4	2.8	3.7	2.7	2.3
TE2	6.2	6.9	6.6	9.2	4.5	3.8
TM2	5.2	5.7	6.0	8.3	4.4	3.6
TE3	4.7	4.9	4.7	7.2	4.9	5.2
TM3	5.3	4.2	4.7	6.9	5.0	4.6
TE4	2.5	2.1	2.9	3.6	3.0	3.1

Input	Output

	TE1	TM1	TE2	TM2	TE3	TM3
TE1	4.9	4.2	2.9	4.3	2.5	2.7
TM1	4.3	4.4	2.8	3.7	2.7	2.3
TE2	6.2	6.9	6.6	9.2	4.5	3.8
TM2	5.2	5.7	6.0	8.3	4.4	3.6
TE3	4.7	4.9	4.7	7.2	4.9	5.2
TM3	5.3	4.2	4.7	6.9	5.0	4.6
TE4	2.5	2.1	2.9	3.6	3.0	3.1

Input	Output

	TE1	TM1	TE2	TM2	TE3	TM3
TE1	4.9	4.2	2.9	4.3	2.5	2.7
TM1	4.3	4.4	2.8	3.7	2.7	2.3
TE2	6.2	6.9	6.6	9.2	4.5	3.8
TM2	5.2	5.7	6.0	8.3	4.4	3.6
TE3	4.7	4.9	4.7	7.2	4.9	5.2
TM3	5.3	4.2	4.7	6.9	5.0	4.6
TE4	2.5	2.1	2.9	3.6	3.0	3.1

Abstract

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Figures (7)

Tables (3)

Equations (15)

Journal of the Optical Society of America B

Input	Output

	TE1	TM1	TE2	TM2	TE3	TM3
TE1	4.9	4.2	2.9	4.3	2.5	2.7
TM1	4.3	4.4	2.8	3.7	2.7	2.3
TE2	6.2	6.9	6.6	9.2	4.5	3.8
TM2	5.2	5.7	6.0	8.3	4.4	3.6
TE3	4.7	4.9	4.7	7.2	4.9	5.2
TM3	5.3	4.2	4.7	6.9	5.0	4.6
TE4	2.5	2.1	2.9	3.6	3.0	3.1

Input	Output

	TE1	TM1	TE2	TM2	TE3	TM3
TE1	4.9	4.2	2.9	4.3	2.5	2.7
TM1	4.3	4.4	2.8	3.7	2.7	2.3
TE2	6.2	6.9	6.6	9.2	4.5	3.8
TM2	5.2	5.7	6.0	8.3	4.4	3.6
TE3	4.7	4.9	4.7	7.2	4.9	5.2
TM3	5.3	4.2	4.7	6.9	5.0	4.6
TE4	2.5	2.1	2.9	3.6	3.0	3.1