Three-dimensional beam scattering at multilayers : formulation of the problem

• Autorzy: Nasalski W.
• Języki publikacji: EN

Abstrakty

EN

A problem of three-dimensional optical beam scattering at a dielectric multilayer is analysed. Scattering and transfer matrices of the layered structure are derived for incidence of beams of arbitrary polarization. Transmission and reflection matrices are given in a diagonal form dependent on polarization of an incident beam. Factorisation of these matrices results in scalar complex transformations, separately for beam polarization and for beam amplitudes. While the polarization transformations describe the multilayer action in terms of Lorentz transformations, the amplitude transformations yield spatial beam shaping. The scattering vector problem resolves into two independent scalar transformations.

Słowa kluczowe

EN

beams; polarization; refraction; reflection; multilayers

PL

wiązka; polaryzacja; załamanie; odbicie; ośrodek wielowarstwowy; macierz transmisji rozproszeń

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2004
• Tom: Vol. 45, no 2
• Strony: 121--139
• Opis fizyczny: Bibliogr. 28 poz., rys.

Twórcy

autor

Nasalski W.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa

Bibliografia

• 1. H.A. HAUS, Waves and fields in optoelectronics, Prentice-Hall, Englewood Cliffs, 1984.
• 2. W. NASALSKI, Amplitude-polarization representation of three-dimensional beams at a dielectric interface, J. Opt. A: Pure Appl. Opt., 5, 128-136, 2003.
• 3. O. BARUT, Electrodynamics and classical theory of fields and particles, Macmillan Company, New York 1964.
• 4. W. NASALSKI, Three-dimensional beam reflection at dielectric interfaces, Optics Commun., 197, 217-233, 2001.
• 5. J.M. VIGOUREUX, R. GIUST, New relations in the most general expressions of the transfer matrix, Optics Commun., 186, 21-25, 2000.
• 6. J.J. MONZON, L.L. SANCHEZ-SOTO, Fresnel formulas as Lorentz transformations, J. Opt. Soc. Am. A, 17, 1475-1481, 2000.
• 7. J.J. MONZON, L.L. SANCHEZ-SOTO, A simple optical demonstration of geometric phases from multilayer stacts: the Wigner angle as an anholonomy, J. Mod. Opt., 48, 21-34, 2001.
• 8. R. GIUST, J.M. VIGOUREUX, Hyperbolic representation of light propagation in a multilayer medium, J. Opt. Soc. Am. A, 19, 378-384, 2002.
• 9. I. BIALYNiCKi-BIRULA, Photon wave function, Prog. Optics, 36, 245-294, 1996.
• 10. L. MANDEL, E. WOLF, Optical coherence and quantum optics, Cambridge University Press, Cambridge 1995.
• 11. J. PERINA, Coherence of light, Reidel, Dordrecht 1985.
• 12. T. OPATRNY, J. PERINA, Non-image-forming polarization optical devices and Lorentz transformations - an analogy, Phys. Lett. A, 181, 199-202, 1993.
• 13. H.H. ARSENAULT, B. MACOKOW, Factorization of the transfer matrix for symmetrical optical systems, J. Opt. Soc. Am., 73, 1350-1359, 1983.
• 14. J.J. MONZON, T. YONTE, L.L. SANCHEZ-SOTO, J.F. CARINENA, Geometrical setting for the classification of multilayers, J. Opt. Soc. Am. A, 19, 985-991, 2002.
• 15. W. NASALSKI, Modelling of beam reflection at a nonlinear-linear interface, J. Opt. A: Pure Appl. Opt., 2, 433-441, 2000.
• 16. W. NASALSKI, Longitudinal and transverse effects of nonspecular reflection, J. Opt. Soc. Am., A 13, 172-181, 1996.
• 17. N. BONOMO, R.A. DEFINE, Nonspecular reflection of ordinary and extraordinary beams in urnaxial media, J. Opt. Spc. Am. A, 14, 3402-3409, 1997.
• 18. N.E. BONOMO, R.A. DEFINE, Aberrationless approach for diffraction of pulses at linear interfaces, Optics Commun., 190, 19-27, 2001.
• 19. L.I. PEREZ, Nonspecular transverse effects of polarized and unpolarized symmetric beams in isotropic-uniaxial interfaces, 3. Opt. Soc. Am. A, 20, 741-751, 2003.
• 20. F. GORI, G. GUATTARI, C. PADOVANI, Bessel-Gauss beams, Optics Commun., 64, 491-495, 1987.
• 21. V. BAGINI, F. FREZZA, M. SANTARSIERO, G. SCHETTINI, G. SCHIRRIPA SPAGNOLO, Generalized Bessel-Gauss beams, J. Mod. Optics, 43, 1155-1166, 1996.
• 22. R.M.A. AZZAM, N.M. BASHARA, Ellipsometry and polarized light, North-Holland, Amsterdam 1977.
• 23. F.I. BAIDA, D. VAN LABEKE, J.M. VIGOUREUX, Near-field surface plasmon microscopy: A numerical study of plasmon excitation, propagation and edge interaction using a threedimensional Gaussian beam, Phys. Rev. B, 60, 7812-7815, 1999.
• 24. A. HAIBEL, G. NIMTZ, A. A. STAHLHOFEN, Frustrated total reflection: The double-prism revisited, Phys. Rev. E, 63, 047601-1-3, 2001.
• 25. PH. BALCOU, L. DUTRIAUX, Dual optical tunneling times in frustrated total internal reflection, Phys. Rev. Lett., 78, 851-854, 1997.
• 26. M. SHAARAWI, I. M. BESIERIS, A. M. ATTIYA, E. EL-DIWANY, Acoustic X-wave reflection and transmission at a planar interface: Spectral analysis, J. Acoust. Soc. Am., 107, 70-86, 2000.
• 27. D.J. GRIFFITS, C.A. STEINKE, Waves in locally periodic media, Am. J. Phys., 69, 137-154, 2001.
• 28. D.W.L. SPRUNG, G.V. MOROZOW, J. MARTORELL, Geometrical approach to scattering in one dimension, J. Phys. A: Math. Gen., 37, 1861-1880, 2004.