The linear canonical transformations in classical optics

Tatiana Alieva, José A. Rodrigo, Alejandro Cámara, Martin J. Bastiaans

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureHoofdstukAcademicpeer review

1 Citaat (Scopus)

Uittreksel

In this chapter we consider the application of the linear canonical transformations (LCTs) for the description of light propagation through optical systems. It is shown that the paraxial approximation of ray and wave optics leads to matrix and integral forms of the two-dimensional LCTs. The LCT description of the first-order optical systems consisting of basic optical elements: lenses, mirrors, homogeneous and quadratic refractive index medium intervals and their compositions is discussed. The applications of these systems for the characterization of the completely and partially coherent monochromatic light are considered. For this purpose the phase space beam representation in the form of the Wigner distribution (WD), which reveals local beam coherence properties, is used. The phase space tomography method of the WD reconstruction is discussed. The physical meaning and application of the second-order WD moments for global beam analysis, classification, and comparison are reviewed. At the similar way optical systems used for manipulation and characterization of optical pulses are described by the one-dimensional LCTs.
TaalEngels
TitelLinear Canonical Transforms: Theory and Applications
RedacteurenJ.J. Healy, M.A. Kutay, H.M. Ozaktas, J.T. Sheridan
Plaats van productieNew York
UitgeverijSpringer
Pagina's113-178
Aantal pagina's66
ISBN van elektronische versie978-1-4939-3028-9
ISBN van geprinte versie978-1-4939-3027-2
DOI's
StatusGepubliceerd - 2016

Publicatie series

NaamSpringer Series in Optical Sciences
UitgeverijSpringer
Volume198
ISSN van geprinte versie0342-4111

Vingerafdruk

optics
distribution moments
geometrical optics
manipulators
tomography
lenses
refractivity
mirrors
intervals
propagation
matrices
pulses
approximation

Citeer dit

Alieva, T., Rodrigo, J. A., Cámara, A., & Bastiaans, M. J. (2016). The linear canonical transformations in classical optics. In J. J. Healy, M. A. Kutay, H. M. Ozaktas, & J. T. S. (editors), Linear Canonical Transforms: Theory and Applications (blz. 113-178). [5] (Springer Series in Optical Sciences; Vol. 198). New York: Springer. DOI: 10.1007/978-1-4939-3028-9_5
Alieva, Tatiana ; Rodrigo, José A. ; Cámara, Alejandro ; Bastiaans, Martin J./ The linear canonical transformations in classical optics. Linear Canonical Transforms: Theory and Applications. redacteur / J.J. Healy ; M.A. Kutay ; H.M. Ozaktas ; J.T. Sheridan. New York : Springer, 2016. blz. 113-178 (Springer Series in Optical Sciences).
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Alieva, T, Rodrigo, JA, Cámara, A & Bastiaans, MJ 2016, The linear canonical transformations in classical optics. in JJ Healy, MA Kutay, HM Ozaktas & JTS (redactie), Linear Canonical Transforms: Theory and Applications., 5, Springer Series in Optical Sciences, vol. 198, Springer, New York, blz. 113-178. DOI: 10.1007/978-1-4939-3028-9_5

The linear canonical transformations in classical optics. / Alieva, Tatiana; Rodrigo, José A.; Cámara, Alejandro ; Bastiaans, Martin J.

Linear Canonical Transforms: Theory and Applications. redactie / J.J. Healy; M.A. Kutay; H.M. Ozaktas; J.T. Sheridan. New York : Springer, 2016. blz. 113-178 5 (Springer Series in Optical Sciences; Vol. 198).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureHoofdstukAcademicpeer review

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Alieva T, Rodrigo JA, Cámara A, Bastiaans MJ. The linear canonical transformations in classical optics. In Healy JJ, Kutay MA, Ozaktas HM, JTS, redacteurs, Linear Canonical Transforms: Theory and Applications. New York: Springer. 2016. blz. 113-178. 5. (Springer Series in Optical Sciences). Beschikbaar vanaf, DOI: 10.1007/978-1-4939-3028-9_5