Determination of dielectric permittivity and thickness of a metal layer from a surface plasmon resonance experiment

Helene E. de Bruijn; Rob P. H. Kooyman; Jan Greve

doi:10.1364/AO.29.001974

Applied Optics
Vol. 29,
Issue 13,
pp. 1974-1978
(1990)
•https://doi.org/10.1364/AO.29.001974

Determination of dielectric permittivity and thickness of a metal layer from a surface plasmon resonance experiment

Helene E. de Bruijn, Rob P. H. Kooyman, and Jan Greve

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Helene E. de Bruijn, Rob P. H. Kooyman, and Jan Greve, "Determination of dielectric permittivity and thickness of a metal layer from a surface plasmon resonance experiment," Appl. Opt. 29, 1974-1978 (1990)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

In this paper we present a fast method for the determination of dielectric permittivity ∊ = −∊_r + i∊_i and thickness d of metal layers from surface plasmon resonance reflection curves. The method is an iteration process using starting parameters derived directly from a reflection curve. The method is tested with simulations and is applied to experimental results. Accuracies reached for silver layers between 25–100 nm and gold layers between 40–75 nm are better than: ∊_r ±1%; ∊_i ±13% and d ±8%.

Full Article | PDF Article

More Like This

Fiber-optic surface-plasmon resonance for the determination of thickness and optical constants of thin metal films

Wen Bin Lin, Jean Marc Chovelon, and Nicole Jaffrezic-Renault
Appl. Opt. 39(19) 3261-3265 (2000)

Enhancement of localized surface plasmon resonance detection by incorporating metal-dielectric double-layered subwavelength gratings

Seong Min Jang, Donghyun Kim, Seung Ho Choi, Kyung Min Byun, and Sung June Kim
Appl. Opt. 50(18) 2846-2854 (2011)

Surface plasmon sensing with different metals in single and double layer configurations

Dmitry V. Nesterenko, Saif-ur-Rehman, and Zouheir Sekkat
Appl. Opt. 51(27) 6673-6682 (2012)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (11)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

defined layer			plasmonchar.*			calculated			fit	difference %

ɛ_r	ɛ_i	d[nm]	θ_min	R_min	Δθ	ɛ_r	ɛ_i	d[nm]	ɛ_i	ɛ_r	ɛ_i	d

silver
16.2	0.52	53	68.29	0.011	1.28	16.20	0.54	53.5	0.54	0	4	0.9
16.2	0.52	25	68.74	0.764	8.75	16.13	0.45	26.00	0.50	0.4	4	4
16.2	0.52	100	68.30	0.884	0.92	16.26	0.83	98.3	0.48	0.4	8	1.7
gold
10.0	1.0	50	73.98	0.001	7.01	9.99	0.85	50.9	1.05	0.1	5	1.8
10.0	1.0	40	73.25	0.132	8.88	9.92	0.64	43.4	1.04	0.8	4	8.5
10.0	1.0	75	74.88	0.502	3.88	10.12	1.09	73.6	0.87	1.2	13	1.9

				selected solution				unselected solution

layer	θ_min	R_min	Δθ	ɛ_r	ɛ_i	d[nm]	ɛ_r (fit)	ɛ_r	ɛ_i	d [nm]

1 air	42.98	0.196	0.55	16.91	0.78	39.1	0.58	16.14	1.74	51.8
1 water	68.80	0.370	3.13	15.27	0.48	40.4	0.51	15.55	1.98	56.5
2 air	43.02	0.155	0.55	16.61	0.90	39.0	0.66	15.91	1.79	50.1
2 water	68.87	0.299	3.96	15.17	0.69	38.4	0.74	15.51	2.34	52.0
3 air	42.97	0.047	0.27	16.24	0.62	48.5	0.52	16.04	0.90	53.9
3 water	68.43	0.192	2.14	15.94	0.53	44.7	0.54	16.04	1.34	55.4
4 air	42.98	0.060	0.23	15.66	0.61	59.9	0.55	15.82	0.39	53.6
4 water	68.29	0.096	1.13	16.21	0.72	59.2	0.68	16.18	0.39	53.6
5 air	42.97	0.357	0.28	15.76	0.99	64.8	0.71	16.26	0.27	46.8
5 water	68.36	0.283	1.12	16.11	0.77	65.0	0.65	16.05	0.24	51.2

defined layer			plasmonchar.*			calculated			fit	difference %

ɛ_r	ɛ_i	d[nm]	θ_min	R_min	Δθ	ɛ_r	ɛ_i	d[nm]	ɛ_i	ɛ_r	ɛ_i	d

silver
16.2	0.52	53	68.29	0.011	1.28	16.20	0.54	53.5	0.54	0	4	0.9
16.2	0.52	25	68.74	0.764	8.75	16.13	0.45	26.00	0.50	0.4	4	4
16.2	0.52	100	68.30	0.884	0.92	16.26	0.83	98.3	0.48	0.4	8	1.7
gold
10.0	1.0	50	73.98	0.001	7.01	9.99	0.85	50.9	1.05	0.1	5	1.8
10.0	1.0	40	73.25	0.132	8.88	9.92	0.64	43.4	1.04	0.8	4	8.5
10.0	1.0	75	74.88	0.502	3.88	10.12	1.09	73.6	0.87	1.2	13	1.9

				selected solution				unselected solution

layer	θ_min	R_min	Δθ	ɛ_r	ɛ_i	d[nm]	ɛ_r (fit)	ɛ_r	ɛ_i	d [nm]

1 air	42.98	0.196	0.55	16.91	0.78	39.1	0.58	16.14	1.74	51.8
1 water	68.80	0.370	3.13	15.27	0.48	40.4	0.51	15.55	1.98	56.5
2 air	43.02	0.155	0.55	16.61	0.90	39.0	0.66	15.91	1.79	50.1
2 water	68.87	0.299	3.96	15.17	0.69	38.4	0.74	15.51	2.34	52.0
3 air	42.97	0.047	0.27	16.24	0.62	48.5	0.52	16.04	0.90	53.9
3 water	68.43	0.192	2.14	15.94	0.53	44.7	0.54	16.04	1.34	55.4
4 air	42.98	0.060	0.23	15.66	0.61	59.9	0.55	15.82	0.39	53.6
4 water	68.29	0.096	1.13	16.21	0.72	59.2	0.68	16.18	0.39	53.6
5 air	42.97	0.357	0.28	15.76	0.99	64.8	0.71	16.26	0.27	46.8
5 water	68.36	0.283	1.12	16.11	0.77	65.0	0.65	16.05	0.24	51.2

Abstract

Cited By

Figures (3)

Tables (2)

Equations (11)

Applied Optics