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

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. In conclusion, the large field enhancements due to the sharpness of the tip and to surface plasmon fields may thus be analytically examined.

Authors:
 [1];  [2]; ORCiD logo [1];  [2]
  1. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Univ. of Tennessee, Knoxville, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1464005
Alternate Identifier(s):
OSTI ID: 1425721
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Applied Optics
Additional Journal Information:
Journal Volume: 57; Journal Issue: 9; Journal ID: ISSN 1559-128X
Publisher:
Optical Society of America
Country of Publication:
United States
Language:
English
Subject:
47 OTHER INSTRUMENTATION; optics at surfaces; microscopy; instrumentation; measurement; metrology; thin films

Citation Formats

Khullar, Vineet K., Gu, Gong, Passian, Ali, and Ferrell, Thomas L. Green’s function for a sharpened and metal-coated dielectric probe. United States: N. p., 2018. Web. doi:10.1364/AO.57.002150.
Khullar, Vineet K., Gu, Gong, Passian, Ali, & Ferrell, Thomas L. Green’s function for a sharpened and metal-coated dielectric probe. United States. doi:10.1364/AO.57.002150.
Khullar, Vineet K., Gu, Gong, Passian, Ali, and Ferrell, Thomas L. Thu . "Green’s function for a sharpened and metal-coated dielectric probe". United States. doi:10.1364/AO.57.002150. https://www.osti.gov/servlets/purl/1464005.
@article{osti_1464005,
title = {Green’s function for a sharpened and metal-coated dielectric probe},
author = {Khullar, Vineet K. and Gu, Gong and Passian, Ali and Ferrell, Thomas L.},
abstractNote = {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. In conclusion, the large field enhancements due to the sharpness of the tip and to surface plasmon fields may thus be analytically examined.},
doi = {10.1364/AO.57.002150},
journal = {Applied Optics},
number = 9,
volume = 57,
place = {United States},
year = {2018},
month = {3}
}

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Works referenced in this record:

Photon scanning tunneling microscopy
journal, December 1990

  • Reddick, R. C.; Warmack, R. J.; Chilcott, D. W.
  • Review of Scientific Instruments, Vol. 61, Issue 12, p. 3669-3677
  • DOI: 10.1063/1.1141534