Determination of the complex refractive index of a subwavelength-diameter platinum or gold pipe by light scattering

Fumiaki Tajima; Yoshio Nishiyama

doi:10.1364/JOSAA.33.001654

Determination of the complex refractive index of a subwavelength-diameter platinum or gold pipe by light scattering

Fumiaki Tajima and Yoshio Nishiyama

Journal of the Optical Society of America A
Vol. 33,
Issue 9,
pp. 1654-1660
(2016)
•https://doi.org/10.1364/JOSAA.33.001654

Get Citation
Copy Citation Text
Fumiaki Tajima and Yoshio Nishiyama, "Determination of the complex refractive index of a subwavelength-diameter platinum or gold pipe by light scattering," J. Opt. Soc. Am. A 33, 1654-1660 (2016)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (3187 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Materials
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Fiber optics (060.2310)
- Optical properties (160.4760)
- Scattering, polarization (290.5855)

About this Article
History
- Original Manuscript: May 5, 2016
- Revised Manuscript: July 3, 2016
- Manuscript Accepted: July 5, 2016
- Published: August 2, 2016

Not Accessible

Your account may give you access

Abstract

The complex refractive indices of Pt and Au pipes that are subwavelength in diameter have been found to be different from those of metal thin films for the first time. The metal pipe is made from a spider silk of half-wavelength diameter clad with Pt or Au and illuminated by a plane-polarized laser of wavelength 660 nm at normal incidence. The angular distribution of the light intensity scattered by the pipe is measured and fitted using theoretical calculations based on the corresponding model. The fitting results have lead to the optimum values and uncertainty ranges of the indices and the diameter of the pipe. A field emission scanning electron microscope confirms the diameter from the optical estimation and reveals an image of the surface of the pipe.

Full Article | PDF Article

OSA Recommended Articles

Standard optical coaxial double fiber diameter and refractive index measurement, accuracy, and precision using light scattering at normal incidence

Fumiaki Tajima, Yoshio Nishiyama, Noriyoshi Hiroi, and Yoshihide Hashimoto
J. Opt. Soc. Am. A 27(1) 1-5 (2010)

Light scattering from a birefringent cylinder, spider silk, slimmer than the wavelength approaches dipole radiation

Fumiaki Tajima and Yoshio Nishiyama
J. Opt. Soc. Am. A 22(6) 1127-1131 (2005)

Approximate solution for optical measurements of the diameter and refractive index of a small and transparent fiber

Grzegorz Świrniak and Janusz Mroczka
J. Opt. Soc. Am. A 33(4) 667-676 (2016)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Figures (8)

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

Contact your librarian or system administrator
or
Login to access OSA 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 OSA member, or as an authorized user of your institution.

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

Equations (18)

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

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

Metrics

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

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

Sample	$n / r$	$E_{⊥}$	$E_{∥}$
$A_{1}$	$n_{1}$	${1.548}_{- 0.077}^{+ 0.092}$	${1.554}_{- 0.180}^{+ 0.159}$
	$r_{1} (nm)$	$139_{- 17}^{+ 17}$	$140_{- 11}^{+ 13}$
	${\tilde{n}}_{2}$ (Pt)	${2.06}_{- 0.27}^{+ 0.19} + {0.21}_{- 0.34}^{+ 0.22} i$	${1.81}_{- 0.43}^{+ 0.45} + {0.41}_{- 0.38}^{+ 0.30} i$
	$r_{2} (nm)$	$193_{- 7}^{+ 16}$	$200_{- 20}^{+ 29}$
	$U_{I}^{\min}$ (%)	1.8	4.3
$A_{2}$	$n_{1}$	${1.570}_{- 0.061}^{+ 0.063}$	${1.612}_{- 0.430}^{+ 0.320}$
	$r_{1} (nm)$	$127_{- 8}^{+ 11}$	$127_{- 16}^{+ 33}$
	${\tilde{n}}_{2}$ (Pt)	${1.86}_{- 0.19}^{+ 0.21} + {0.41}_{- 0.24}^{+ 0.19} i$	${2.11}_{- 0.35}^{+ 0.50} + {0.36}_{- 0.24}^{+ 0.23} i$
	$r_{2} (nm)$	$178_{- 11}^{+ 10}$	$183_{- 20}^{+ 19}$
	$U_{I}^{\min}$ (%)	2.6	4.0
$B_{1}$	$n_{1}$	${1.566}_{- 0.037}^{+ 0.043}$	${1.542}_{- 0.127}^{+ 0.117}$
	$r_{1} (nm)$	$135_{- 9}^{+ 10}$	$136_{- 8}^{+ 9}$
	${\tilde{n}}_{2}$ (Au)	${1.61}_{- 0.19}^{+ 0.15} + {1.31}_{- 0.15}^{+ 0.14} i$	${6.86}_{- 0.06}^{+ 0.06} + {0.33}_{- 0.03}^{+ 0.07} i$
	$r_{2} (nm)$	$185_{- 6}^{+ 5}$	(185)
	$U_{I}^{\min}$ (%)	2.4	2.5
$B_{2}$	$n_{1}$	${1.575}_{- 0.130}^{+ 0.140}$	${1.780}_{- 0.340}^{+ 0.230}$
	$r_{1} (nm)$	$107_{- 9}^{+ 8}$	$104_{- 8}^{+ 12}$
	${\tilde{n}}_{2}$ (Au)	${1.46}_{- 0.27}^{+ 0.27} + {1.56}_{- 0.14}^{+ 0.25} i$	${6.10}_{- 0.36}^{+ 0.40} + {0.48}_{- 0.25}^{+ 0.35} i$
	$r_{2} (nm)$	$148_{- 5}^{+ 5}$	(148)
	$U_{I}^{\min}$ (%)	3.0	2.1

Metal	Johnson and Christy [15]	Lynch and Hunter [16]	ATR Measurement
Pt	—	$2.41 + 4.30 i$	$2.50 + 4.32 i$
Au	$0.14 + 3.697 i$	$0.165 + 3.28 i$	$0.312 + 3.53 i$

Sample	$n / r$	$E_{⊥}$	$E_{∥}$
$A_{1}$	$n_{1}$	${1.548}_{- 0.077}^{+ 0.092}$	${1.554}_{- 0.180}^{+ 0.159}$
	$r_{1} (nm)$	$139_{- 17}^{+ 17}$	$140_{- 11}^{+ 13}$
	${\tilde{n}}_{2}$ (Pt)	${2.06}_{- 0.27}^{+ 0.19} + {0.21}_{- 0.34}^{+ 0.22} i$	${1.81}_{- 0.43}^{+ 0.45} + {0.41}_{- 0.38}^{+ 0.30} i$
	$r_{2} (nm)$	$193_{- 7}^{+ 16}$	$200_{- 20}^{+ 29}$
	$U_{I}^{\min}$ (%)	1.8	4.3
$A_{2}$	$n_{1}$	${1.570}_{- 0.061}^{+ 0.063}$	${1.612}_{- 0.430}^{+ 0.320}$
	$r_{1} (nm)$	$127_{- 8}^{+ 11}$	$127_{- 16}^{+ 33}$
	${\tilde{n}}_{2}$ (Pt)	${1.86}_{- 0.19}^{+ 0.21} + {0.41}_{- 0.24}^{+ 0.19} i$	${2.11}_{- 0.35}^{+ 0.50} + {0.36}_{- 0.24}^{+ 0.23} i$
	$r_{2} (nm)$	$178_{- 11}^{+ 10}$	$183_{- 20}^{+ 19}$
	$U_{I}^{\min}$ (%)	2.6	4.0
$B_{1}$	$n_{1}$	${1.566}_{- 0.037}^{+ 0.043}$	${1.542}_{- 0.127}^{+ 0.117}$
	$r_{1} (nm)$	$135_{- 9}^{+ 10}$	$136_{- 8}^{+ 9}$
	${\tilde{n}}_{2}$ (Au)	${1.61}_{- 0.19}^{+ 0.15} + {1.31}_{- 0.15}^{+ 0.14} i$	${6.86}_{- 0.06}^{+ 0.06} + {0.33}_{- 0.03}^{+ 0.07} i$
	$r_{2} (nm)$	$185_{- 6}^{+ 5}$	(185)
	$U_{I}^{\min}$ (%)	2.4	2.5
$B_{2}$	$n_{1}$	${1.575}_{- 0.130}^{+ 0.140}$	${1.780}_{- 0.340}^{+ 0.230}$
	$r_{1} (nm)$	$107_{- 9}^{+ 8}$	$104_{- 8}^{+ 12}$
	${\tilde{n}}_{2}$ (Au)	${1.46}_{- 0.27}^{+ 0.27} + {1.56}_{- 0.14}^{+ 0.25} i$	${6.10}_{- 0.36}^{+ 0.40} + {0.48}_{- 0.25}^{+ 0.35} i$
	$r_{2} (nm)$	$148_{- 5}^{+ 5}$	(148)
	$U_{I}^{\min}$ (%)	3.0	2.1

Metal	Johnson and Christy [15]	Lynch and Hunter [16]	ATR Measurement
Pt	—	$2.41 + 4.30 i$	$2.50 + 4.32 i$
Au	$0.14 + 3.697 i$	$0.165 + 3.28 i$	$0.312 + 3.53 i$

Abstract

References

Cited By

Figures (8)

Tables (2)

Equations (18)

Metrics

Login or Create Account