Elegant Hermite-Gaussian and Laguerre-Gaussian beams at a dielectric interface

• Autorzy: Nasalski W.
• Języki publikacji: EN

Abstrakty

EN

Basic features of narrow optical beam interactions with a dielectric interface are analysed. It is shown that two types of paraxial beams - elegant Hermite-Gaussians of linear polarization and elegant Laguerre-Gaussians of circular polarization - can be treated as vector normal modes of the interface. Excitation of higher-order modes by cross-polarization coupling is described and changes of mode indices induced by transmission and reflection matrices are evaluated. Optical vortex excitation and splitting are theoretically predicted and confirmed by numerical simulations.

Słowa kluczowe

EN

Hermite-Gaussian and Laguerre-Gaussian beams; dielectric interfaces; total internal reflection; optical vortices and cross-polarization coupling

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2010
• Tom: Vol. 40, nr 3
• Strony: 615--622
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Nasalski W.

• Institute of Fundamental Technical Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warsaw, Poland

Bibliografia

• [1] NASALSKI W., Polarization versus spatial characteristics of optical beams at a planar isotropic interface, Physical Review E 74(5), 2006, p. 056613.
• [2] NASALSKI W., PAGANI Y., Excitation and cancellation of higher-order beam modes at isotropic interfaces, Journal of Optics A: Pure and Applied Optics 8(1), 2006, pp. 21–29.
• [3] SIEGMAN A.E., Hermite–Gaussian functions of complex argument as optical beam eigenfunctions, Journal of the Optical Society of America 63(9), 1973, pp. 1093–1094.
• [4] NASALSKI W., Elegant vector normal modes at a dielectric interface, arXiv:0810.2291, 2008, pp. 1–28.
• [5] SZABELAK W., NASALSKI W., Transmission of Elegant Laguerre–Gaussian beams at a dielectric interface – numerical simulations, Bulletin of the Polish Academy of Sciences – Technical Sciences 57(2), 2009, pp. 181–188.
• [6] NASALSKI W., Cross-polarized normal mode patterns at a dielectric interface, Bulletin of the Polish Academy of Sciences – Technical Sciences 58(1), 2010, pp. 141–154.
• [7] NASALSKI W., Three-dimensional beam reflection at dielectric interfaces, Optics Communications 197(4–6), 2001, pp. 217–233.
• [8] KÖHÁZI-KIS A., Cross-polarization effects of light beams at interfaces of isotropic media, Optics Communications 253(1–3), 2005, pp. 28–37.
• [9] BLIOKH K.YU., BLIOKH YU.P., Polarization, transverse shifts, and angular momentum conservation laws in partial reflection and refraction of an electromagnetic wave packet,Physical Review E 75(6), 2007, p. 066609.
• [10] OKUDA H., SASADA H., Significant deformations and propagation variations of Laguerre–Gaussian beams reflected and transmitted at a dielectric interface, Journal of the Optical Society of America A 25(4), 2008, pp. 881–890.