Determining the size and refractive index of microspheres using the mode assignments from Mie resonances

Thomas Preston*, Jonathan Reid

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

34 Citations (Scopus)
399 Downloads (Pure)

Abstract

A new method for determining the radius and refractive index of microspheres using Mie resonances is presented. Previous methods have relied on searching multidimensional space to find the radius and refractive index that minimize the difference between observed and calculated Mie resonances. For anything but simple refractive index functions, this process can be very time consuming. Here, we demonstrate that once the mode assignment for the observed Mie resonances is known, no search is necessary, and the radius and refractive index of best-fit can be found immediately. This superior and faster way to characterize microspheres using Mie resonances should supplant previous fitting algorithms. The derivation and implementation of the equations that give the parameters of best-fit are shown and discussed. Testing is performed on systems of physical interest, and the effect of noise on measured peak positions is investigated.
Original languageEnglish
Pages (from-to)2210-2217
Number of pages8
JournalJournal of the Optical Society of America A
Volume32
Issue number11
Early online date28 Oct 2015
DOIs
Publication statusPublished - 1 Nov 2015

Keywords

  • Optical resonators
  • Dispersion
  • Index measurements
  • Mie theory

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