Sizing dielectric spheres and cylinders by aligning measured and computed resonance locations: algorithm for multiple orders

Steven C. Hill; Craig K. Rushforth; Robert E. Benner; Peter R. Conwell

doi:10.1364/AO.24.002380

Applied Optics
Vol. 24,
Issue 15,
pp. 2380-2390
(1985)
•https://doi.org/10.1364/AO.24.002380

Sizing dielectric spheres and cylinders by aligning measured and computed resonance locations: algorithm for multiple orders

Steven C. Hill, Craig K. Rushforth, Robert E. Benner, and Peter R. Conwell

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Steven C. Hill, Craig K. Rushforth, Robert E. Benner, and Peter R. Conwell, "Sizing dielectric spheres and cylinders by aligning measured and computed resonance locations: algorithm for multiple orders," Appl. Opt. 24, 2380-2390 (1985)

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

Abstract

An algorithm for determining the size of dielectric spheres and cylinders by aligning measured and computed resonance locations is presented. The orders of the resonance locations need not be known a priori. The algorithm is applicable to several types of scattering and emission spectra of spheres and cylinders if the index of refraction including dispersion is known and uniform, or nearly uniform, throughout the sphere or cylinder. The algorithm performs well when tested with groups of computed resonance locations of spheres (synthetic data) and with measured fluorescence emission spectra of spheres exhibiting as many as 5 orders of resonance.

Full Article | PDF Article

More Like This

Efficient automated algorithm for the sizing of dielectric microspheres using the resonance spectrum

Peter R. Conwell, Craig K. Rushforth, Robert E. Benner, and Steven C. Hill
J. Opt. Soc. Am. A 1(12) 1181-1187 (1984)

Structural resonances observed in the Raman spectra of optically levitated liquid droplets

Rudolf Thurn and Wolfgang Kiefer
Appl. Opt. 24(10) 1515-1519 (1985)

Resonant spectra of dielectric spheres

Peter R. Conwell, Peter W. Barber, and Craig K. Rushforth
J. Opt. Soc. Am. A 1(1) 62-67 (1984)

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 (3)

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 (12)

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

First sphere
Spectrum	Wave number range (cm⁻¹)	Incident wavelength (nm)	Peaks	Radius (μm)
1	18991.9–14991.8	488	49 largest peaks	4.71791
1	18991.9–14991.8	488	last 24 of the 49 largest peaks	4.71820
1	18991.9–14991.8	488	first 25 of the 49 largest peaks	4.71759
2	18576.1–14576.1	488	56 largest peaks	4.71770
2	18576.1–14576.1	488	83 largest peaks	4.71773
2	18576.1–14576.1	488	last 21 of 56 largest peaks	4.71790
2	18576.1–14576.1	488	first 16 of 56 largest peaks	4.71745
3	16992.2–16491.2	488	16 largest peaks	4.71749
4	16491.2–15991.2	488	15 largest peaks	4.71748
5	16291.0–14291.0	488	41 largest peaks	4.71738
5	16291.0–14291.0	488	first 21 of 41 largest peaks	4.71736
5	16291.0–14291.0	488	last 21 of 41 largest peaks	4.71736
Second sphere
Spectrum	Wave number range (cm⁻¹)	Incident wavelength (nm)	Peaks	Radius (μm)

1	18991.6–14991.4	488	26 largest peaks	2.59157
1	18991.6–14991.4	488	last 12 of 26 largest peaks	2.59162
2	16490.6–14490.3	488	29 largest peaks	2.59039
3	18491.6–16989.6	514.5	15 largest peaks	2.59012
4	17489.6–15489.6	514.5	18 largest peaks	2.59003

Number of peaks	Radius (μm)	Error (cm⁻²)
20	4.64465	540.5
	4.71740	48.5
10	4.64423	160.8
	4.71742	14.4
6	4.64453	77.1
	4.71738	2.5
4	3.93467	7.6
	4.71740	1.6

Number of peaks	Noise width (cm⁻¹)
Number of peaks	2.0	4.0	8.0	16.0	24.0
6	98	78	20	0	0
12	100	98	98	36	2
18	100	100	90	64	28
24	100	100	94	86	36

First sphere
Spectrum	Wave number range (cm⁻¹)	Incident wavelength (nm)	Peaks	Radius (μm)
1	18991.9–14991.8	488	49 largest peaks	4.71791
1	18991.9–14991.8	488	last 24 of the 49 largest peaks	4.71820
1	18991.9–14991.8	488	first 25 of the 49 largest peaks	4.71759
2	18576.1–14576.1	488	56 largest peaks	4.71770
2	18576.1–14576.1	488	83 largest peaks	4.71773
2	18576.1–14576.1	488	last 21 of 56 largest peaks	4.71790
2	18576.1–14576.1	488	first 16 of 56 largest peaks	4.71745
3	16992.2–16491.2	488	16 largest peaks	4.71749
4	16491.2–15991.2	488	15 largest peaks	4.71748
5	16291.0–14291.0	488	41 largest peaks	4.71738
5	16291.0–14291.0	488	first 21 of 41 largest peaks	4.71736
5	16291.0–14291.0	488	last 21 of 41 largest peaks	4.71736
Second sphere
Spectrum	Wave number range (cm⁻¹)	Incident wavelength (nm)	Peaks	Radius (μm)

1	18991.6–14991.4	488	26 largest peaks	2.59157
1	18991.6–14991.4	488	last 12 of 26 largest peaks	2.59162
2	16490.6–14490.3	488	29 largest peaks	2.59039
3	18491.6–16989.6	514.5	15 largest peaks	2.59012
4	17489.6–15489.6	514.5	18 largest peaks	2.59003

Number of peaks	Radius (μm)	Error (cm⁻²)
20	4.64465	540.5
	4.71740	48.5
10	4.64423	160.8
	4.71742	14.4
6	4.64453	77.1
	4.71738	2.5
4	3.93467	7.6
	4.71740	1.6

Abstract

Cited By

Figures (3)

Tables (3)

Equations (12)

Applied Optics