Multipole expansion for efficient calculation of focal distributions

Colin J. Sheppard; Peter Torok

Multipole expansion for efficient calculation of focal distributions

Colin J. Sheppard^*, Peter Torok

^*Corresponding author for this work

University of Sydney

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

There is continued interest in calculation of the electromagnetic field distribution in the focal region of an optical system of high numerical aperture. Important applications include microscopy and optical information storage. Unfortunately direct evaluation of the diffraction integrals is extremely time-consuming. We have developed a new method in which the illumination is expanded in a series of multipole terms, each of which gives rise to a focal field which is an analytic function in three-dimensional space. The electric energy density in the focal region has been calculated for various lens and mirror systems.

Original language	English
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Editors	Daniel Malacara-Hernandez, Sofia E. Acosta, Ramon Rodriguez-Vera, Zacarias Malacara, Arquimedes A. Morales
Pages	630-633
Number of pages	4
Publication status	Published - 1996
Externally published	Yes
Event	Second Iberoamerican Meeting on Optics - Guanajuato, Mex Duration: Sept 18 1995 → Sept 22 1995

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	2730
ISSN (Print)	0277-786X

Conference

Conference	Second Iberoamerican Meeting on Optics
City	Guanajuato, Mex
Period	9/18/95 → 9/22/95

ASJC Scopus Subject Areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

Cite this

Sheppard, C. J., & Torok, P. (1996). Multipole expansion for efficient calculation of focal distributions. In D. Malacara-Hernandez, S. E. Acosta, R. Rodriguez-Vera, Z. Malacara, & A. A. Morales (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (pp. 630-633). (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 2730).

Sheppard, Colin J. ; Torok, Peter. / Multipole expansion for efficient calculation of focal distributions. Proceedings of SPIE - The International Society for Optical Engineering. editor / Daniel Malacara-Hernandez ; Sofia E. Acosta ; Ramon Rodriguez-Vera ; Zacarias Malacara ; Arquimedes A. Morales. 1996. pp. 630-633 (Proceedings of SPIE - The International Society for Optical Engineering).

@inproceedings{f497d2aa635d42818f368a5d766b78c7,

title = "Multipole expansion for efficient calculation of focal distributions",

abstract = "There is continued interest in calculation of the electromagnetic field distribution in the focal region of an optical system of high numerical aperture. Important applications include microscopy and optical information storage. Unfortunately direct evaluation of the diffraction integrals is extremely time-consuming. We have developed a new method in which the illumination is expanded in a series of multipole terms, each of which gives rise to a focal field which is an analytic function in three-dimensional space. The electric energy density in the focal region has been calculated for various lens and mirror systems.",

author = "Sheppard, {Colin J.} and Peter Torok",

year = "1996",

language = "English",

isbn = "0819421111",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

pages = "630--633",

editor = "Daniel Malacara-Hernandez and Acosta, {Sofia E.} and Ramon Rodriguez-Vera and Zacarias Malacara and Morales, {Arquimedes A.}",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

note = "Second Iberoamerican Meeting on Optics ; Conference date: 18-09-1995 Through 22-09-1995",

}

Sheppard, CJ & Torok, P 1996, Multipole expansion for efficient calculation of focal distributions. in D Malacara-Hernandez, SE Acosta, R Rodriguez-Vera, Z Malacara & AA Morales (eds), Proceedings of SPIE - The International Society for Optical Engineering. Proceedings of SPIE - The International Society for Optical Engineering, vol. 2730, pp. 630-633, Second Iberoamerican Meeting on Optics, Guanajuato, Mex, 9/18/95.

Multipole expansion for efficient calculation of focal distributions. / Sheppard, Colin J.; Torok, Peter.
Proceedings of SPIE - The International Society for Optical Engineering. ed. / Daniel Malacara-Hernandez; Sofia E. Acosta; Ramon Rodriguez-Vera; Zacarias Malacara; Arquimedes A. Morales. 1996. p. 630-633 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 2730).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Multipole expansion for efficient calculation of focal distributions

AU - Sheppard, Colin J.

AU - Torok, Peter

PY - 1996

Y1 - 1996

N2 - There is continued interest in calculation of the electromagnetic field distribution in the focal region of an optical system of high numerical aperture. Important applications include microscopy and optical information storage. Unfortunately direct evaluation of the diffraction integrals is extremely time-consuming. We have developed a new method in which the illumination is expanded in a series of multipole terms, each of which gives rise to a focal field which is an analytic function in three-dimensional space. The electric energy density in the focal region has been calculated for various lens and mirror systems.

AB - There is continued interest in calculation of the electromagnetic field distribution in the focal region of an optical system of high numerical aperture. Important applications include microscopy and optical information storage. Unfortunately direct evaluation of the diffraction integrals is extremely time-consuming. We have developed a new method in which the illumination is expanded in a series of multipole terms, each of which gives rise to a focal field which is an analytic function in three-dimensional space. The electric energy density in the focal region has been calculated for various lens and mirror systems.

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M3 - Conference contribution

AN - SCOPUS:0029758587

SN - 0819421111

SN - 9780819421111

T3 - Proceedings of SPIE - The International Society for Optical Engineering

SP - 630

EP - 633

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Malacara-Hernandez, Daniel

A2 - Acosta, Sofia E.

A2 - Rodriguez-Vera, Ramon

A2 - Malacara, Zacarias

A2 - Morales, Arquimedes A.

T2 - Second Iberoamerican Meeting on Optics

Y2 - 18 September 1995 through 22 September 1995

ER -

Multipole expansion for efficient calculation of focal distributions

Abstract

Publication series

Conference

ASJC Scopus Subject Areas

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