Solving the inverse problem of high numerical aperture focusing using vector Slepian harmonics and vector Slepian multipole fields

Kornél Jahn, N. Bokor

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A technique using vector Slepian harmonics and vector Slepian multipole fields is presented for a general treatment of the inverse problem of high numerical aperture focusing. A prescribed intensity distribution or electric field distribution in the focal volume is approximated using numerical optimization and the corresponding illuminating field at the entrance pupil is constructed. Three examples from the recent literature are chosen to illustrate the method.

Original languageEnglish
Pages (from-to)13-16
Number of pages4
JournalOptics Communications
Volume288
DOIs
Publication statusPublished - Feb 1 2013

Fingerprint

numerical aperture
Inverse problems
multipoles
harmonics
pupils
entrances
illuminating
Electric fields
optimization
electric fields

Keywords

  • High numerical aperture focusing
  • Inverse problem
  • Slepian's concentration problem
  • Vector diffraction theory

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry

Cite this

@article{48b98657374f46549df0857ee91c412c,
title = "Solving the inverse problem of high numerical aperture focusing using vector Slepian harmonics and vector Slepian multipole fields",
abstract = "A technique using vector Slepian harmonics and vector Slepian multipole fields is presented for a general treatment of the inverse problem of high numerical aperture focusing. A prescribed intensity distribution or electric field distribution in the focal volume is approximated using numerical optimization and the corresponding illuminating field at the entrance pupil is constructed. Three examples from the recent literature are chosen to illustrate the method.",
keywords = "High numerical aperture focusing, Inverse problem, Slepian's concentration problem, Vector diffraction theory",
author = "Korn{\'e}l Jahn and N. Bokor",
year = "2013",
month = "2",
day = "1",
doi = "10.1016/j.optcom.2012.09.051",
language = "English",
volume = "288",
pages = "13--16",
journal = "Optics Communications",
issn = "0030-4018",
publisher = "Elsevier",

}

TY - JOUR

T1 - Solving the inverse problem of high numerical aperture focusing using vector Slepian harmonics and vector Slepian multipole fields

AU - Jahn, Kornél

AU - Bokor, N.

PY - 2013/2/1

Y1 - 2013/2/1

N2 - A technique using vector Slepian harmonics and vector Slepian multipole fields is presented for a general treatment of the inverse problem of high numerical aperture focusing. A prescribed intensity distribution or electric field distribution in the focal volume is approximated using numerical optimization and the corresponding illuminating field at the entrance pupil is constructed. Three examples from the recent literature are chosen to illustrate the method.

AB - A technique using vector Slepian harmonics and vector Slepian multipole fields is presented for a general treatment of the inverse problem of high numerical aperture focusing. A prescribed intensity distribution or electric field distribution in the focal volume is approximated using numerical optimization and the corresponding illuminating field at the entrance pupil is constructed. Three examples from the recent literature are chosen to illustrate the method.

KW - High numerical aperture focusing

KW - Inverse problem

KW - Slepian's concentration problem

KW - Vector diffraction theory

UR - http://www.scopus.com/inward/record.url?scp=84869096157&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84869096157&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2012.09.051

DO - 10.1016/j.optcom.2012.09.051

M3 - Article

VL - 288

SP - 13

EP - 16

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

ER -