PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2006 | 4 | 1 | 1-7
Tytuł artykułu

Divergence of geometrical optics series at the boundary of its applicability: An analytical example in elementary functions (2D Gaussian beam in free space)

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An analytical example in elementary functions is presented (2D Gaussian beam diffraction in free space), which demonstrates the divergence of the geometrical optics (GO) series when the conditions for its applicability are violated. This example shows that accounting for higher terms in GO power series leads to divergence and therefore becomes completely useless beyond the boundaries of GO applicability.
Słowa kluczowe
Wydawca

Czasopismo
Rocznik
Tom
4
Numer
1
Strony
1-7
Opis fizyczny
Daty
wydano
2006-03-01
online
2006-03-01
Twórcy
autor
Bibliografia
  • [1] E.J. Weniger: “Mathematical properties of a new Levin-type sequence transformation introduced by Cizek, Zamastil and Skala - I. Algebraic theory”, J. Math. Phys., Vol. 45(3), (2004), pp. 1209–1246. http://dx.doi.org/10.1063/1.1643787[Crossref]
  • [2] M. Born and E. Wolf: Principles of optics, 6th ed., Pergamon Press, Oxford, England, 1985.
  • [3] L.D. Landau and E.M. Lifshits: Quantum Mechanics, Vol. III of Theoretical physics, Pergamon Press, Oxford, England, 1977.
  • [4] Yu.A. Kravtsov and Y.I. Orlov: Geometrical optics of inhomogeneous media, Springer Verlag, Berlin, Heidelberg, 1990.
  • [5] Yu.A. Kravtsov: Geometrical optics in Engineering Physics, Alpha Science International, Harrow, UK, 2005.
  • [6] Yu.A. Kravtsov and Y.I. Orlov: “Limits of applicability of the method of geometrical optics and related problems”, Soviet Physics-Uspekhi, (1980), 23(11), pp. 750–762; Reprinted: P.L. Marston (Ed.): Geometrical Aspects of Scattering, SPIE Milestone Series, Vol. MS89, SPIE Optical Engineering, Seattle, 1994, pp. 88-101. http://dx.doi.org/10.1070/PU1980v023n11ABEH005060[Crossref]
  • [7] Y.A. Kravtsov: “Rays and caustics as physical objects”, In: E. Wolf (Ed.): Progress in Optics, Vol. 26, Elsevier, Amsterdam, 1988, pp. 227–348.
  • [8] S. Buske and Yu.A. Kravtsov: “A study of the applicability and divergence of the ray series using a modified transport equation”, Geophys. J. Int., Vol. 160, (2005), pp. 1–4.
  • [9] H. Cartan: Elementary theory of analytic functions of one or several complex variables, Dover Books on Mathematics, New York, 1995.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1007_s11534-005-0001-y
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.