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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 9 — Sep. 1, 2009
  • pp: 1977–1979

An exact transverse Helmholtz equation

Bruno Crosignani, Paolo Di Porto, and Amnon Yariv  »View Author Affiliations

JOSA A, Vol. 26, Issue 9, pp. 1977-1979 (2009)

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We derive an exact equation for the transverse component of the electric field propagating along a given longitudinal z direction in the presence of an isotropic refractive-index distribution n(x,y).

© 2009 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(350.5500) Other areas of optics : Propagation
(350.7420) Other areas of optics : Waves

ToC Category:
Physical Optics

Original Manuscript: June 26, 2009
Manuscript Accepted: July 7, 2009
Published: August 19, 2009

Bruno Crosignani, Paolo Di Porto, and Amnon Yariv, "An exact transverse Helmholtz equation," J. Opt. Soc. Am. A 26, 1977-1979 (2009)

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  1. S. Solimeno, B. Crosignani, and P. Di Porto, Guiding, Diffraction and Confinement of Optical Radiation (Academic, 1986).
  2. A. Yu. Savchencko and B. Ya. Zel'dovich, “Wave propagation in a guiding structure: one step beyond the paraxial approximation,” J. Opt. Soc. Am. B 13, 273-281 (1996). [CrossRef]
  3. A. Ciattoni, P. Di Porto, B. Crosignani, and A. Yariv, “Vectorial nonparaxial propagation equation in the presence of a tensorial refractive index perturbation,” J. Opt. Soc. Am. B 17, 809-819 (2000). [CrossRef]
  4. G. Brambilla, F. Xu, P. Horak, Y. Jung, F. Koizumi, N. Sessions, E. Koukharenko, X. Feng, G. Murugan, J. Wilkinson, and D. Richardson, “Optical fiber nanowires and microwires: fabrication and applications,” Adv. Opt. Photon 1, 107-161 (2009). [CrossRef]

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