Green’s function for a sharpened and metal-coated dielectric probe

Vineet Khullar, Gong Gu, Ali Passian, Thomas L. Ferrell

Research output: Contribution to journalArticlepeer-review

Abstract

In apertureless scanning-probe optical microscopy and in the case of more traditional scanned optical probes coated with a metal that is thin near the probe tip (in lieu of an aperture), samples are probed via interaction between the probe and surface. In the nanometer-scale region between the tip and the sample, the field can be approximated by quasi-electrostatic analytics. Hence, the coated probe can be modeled as in the present case as a hyperboloid of revolution without the need for hyperboloidal wave functions in the near zone. The solutions to Laplace’s equation and in general Green’s function with the application of the boundary conditions, therefore, yield an appropriate approximation and allow a completely analytical solution for the resonance effects upon the probe tip to be obtained. The large field enhancements due to the sharpness of the tip and to surface plasmon fields may thus be analytically examined.

Original languageEnglish
Pages (from-to)2150-2154
Number of pages5
JournalApplied Optics
Volume57
Issue number9
DOIs
StatePublished - Mar 20 2018

Funding

National Science Foundation (NSF) (DMR-1410940); U.S. Department of Energy (DOE) (DE-AC05-00OR22725). A. P. acknowledges partial support from the Laboratory Directed Research and Development (LDRD) fund at Oak Ridge National Laboratory (ORNL). This paper has been authored by UT-Battelle, LLC with the U.S. Department of Energy. The United States Government retains and the publisher, by accepting the article for publication, acknowledges that the United States Government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this paper, or allow others to do so, for United States Government purposes. The Department of Energy will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/ doe-public-access-plan).

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