Fractional Legendre transformation and its use in Hamilton's formalism

Miguel Alonso; Gregory W. Forbes

Fractional Legendre transformation and its use in Hamilton's formalism

Miguel Alonso, Gregory W. Forbes

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

Abstract

A generalization of Hamilton's formalism for geometrical optics is given here to provide more convenient descriptions of the optical properties of certain classes of systems. This generalization is made by replacing the usual points and planes that are used as references in the definition of characteristic functions by more general surfaces. In this context, the fractional Legendre transform is used in the semigeometrical estimation of field propagators to eliminate errors introduced by caustics.

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
Place of Publication	Washington, DC
Publisher	SPIE
Pages	248-251
Number of pages	4
Volume	2730
ISBN (Print)	0819421111, 9780819421111
Publication status	Published - 1996
Event	Second Iberoamerican Meeting on Optics - Guanajuato, Mex Duration: 18 Sept 1995 → 22 Sept 1995

Other

Other	Second Iberoamerican Meeting on Optics
City	Guanajuato, Mex
Period	18/09/95 → 22/09/95

Cite this

@inproceedings{5b8025428a10415da406dd325b764bc4,

title = "Fractional Legendre transformation and its use in Hamilton's formalism",

abstract = "A generalization of Hamilton's formalism for geometrical optics is given here to provide more convenient descriptions of the optical properties of certain classes of systems. This generalization is made by replacing the usual points and planes that are used as references in the definition of characteristic functions by more general surfaces. In this context, the fractional Legendre transform is used in the semigeometrical estimation of field propagators to eliminate errors introduced by caustics.",

author = "Miguel Alonso and Forbes, {Gregory W.}",

year = "1996",

language = "English",

isbn = "0819421111",

volume = "2730",

pages = "248--251",

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",

publisher = "SPIE",

address = "United States",

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

}

Alonso, M & Forbes, GW 1996, Fractional Legendre transformation and its use in Hamilton's formalism. in D Malacara-Hernandez, SE Acosta, R Rodriguez-Vera, Z Malacara & AA Morales (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 2730, SPIE, Washington, DC, pp. 248-251, Second Iberoamerican Meeting on Optics, Guanajuato, Mex, 18/09/95.

Fractional Legendre transformation and its use in Hamilton's formalism. / Alonso, Miguel; Forbes, Gregory W.
Proceedings of SPIE - The International Society for Optical Engineering. ed. / Daniel Malacara-Hernandez; Sofia E. Acosta; Ramon Rodriguez-Vera; Zacarias Malacara; Arquimedes A. Morales. Vol. 2730 Washington, DC: SPIE, 1996. p. 248-251.

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

TY - GEN

T1 - Fractional Legendre transformation and its use in Hamilton's formalism

AU - Alonso, Miguel

AU - Forbes, Gregory W.

PY - 1996

Y1 - 1996

N2 - A generalization of Hamilton's formalism for geometrical optics is given here to provide more convenient descriptions of the optical properties of certain classes of systems. This generalization is made by replacing the usual points and planes that are used as references in the definition of characteristic functions by more general surfaces. In this context, the fractional Legendre transform is used in the semigeometrical estimation of field propagators to eliminate errors introduced by caustics.

AB - A generalization of Hamilton's formalism for geometrical optics is given here to provide more convenient descriptions of the optical properties of certain classes of systems. This generalization is made by replacing the usual points and planes that are used as references in the definition of characteristic functions by more general surfaces. In this context, the fractional Legendre transform is used in the semigeometrical estimation of field propagators to eliminate errors introduced by caustics.

UR - http://www.scopus.com/inward/record.url?scp=0029778070&partnerID=8YFLogxK

M3 - Conference proceeding contribution

AN - SCOPUS:0029778070

SN - 0819421111

SN - 9780819421111

VL - 2730

SP - 248

EP - 251

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.

PB - SPIE

CY - Washington, DC

T2 - Second Iberoamerican Meeting on Optics

Y2 - 18 September 1995 through 22 September 1995

ER -

Fractional Legendre transformation and its use in Hamilton's formalism

Abstract

Other

Other files and links

Fingerprint

Cite this