Abstract

We show that by using a one-dimensional anisotropic photonic structure, it is possible to realize optical wave polarization conversion by reflection and transmission processes. Thus a single incident S(P) polarized plane wave can produce a single reflected P(S) polarized wave and a single transmitted P(S) polarized wave. This polarization conversion property can be fulfilled with a simple finite superlattice (SL) constituted of anisotropic dielectric materials. We discuss the appropriate choices of the material and geometrical properties to realize such structures. The transmission and reflection coefficients are calculated in the framework of the Green’s function method. The amplitude and the polarization characteristics of reflected and transmitted waves are determined as functions of frequency, wave vector k (parallel to the interface), and the orientations of the principal axes of the layers constituting the SL. Specific applications of these results are given for a SL consisting of alternating biaxial anisotropic layers NaNO2SbSI sandwiched between two identical semi-infinite isotropic media.

© 2007 Optical Society of America

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2006 (3)

H. Deng, D. O. Yevick, C. Brooks, and P. E. Jessop, "Fabrication tolerance of asymmetric silicon-on-insulator polarization rotators," J. Opt. Soc. Am. A 23, 1741-1745 (2006).
[CrossRef]

C. Brooks, P. E. Jessop, H. Deng, D. O. Yevick, and G. Tarr, "Passive silicon-on-insulator polarization-rotating waveguides," Opt. Eng. (Bellingham) 45, 044603 (2006).
[CrossRef]

N. Ouchani, D. Bria, A. Nougaoui, and B. Djafari-Rouhani, "Photonic band structure and omnidirectional band gap in anisotropic superlattice," Sol. Cells 90, 1445-1457 (2006).
[CrossRef]

2005 (2)

2004 (4)

B. T. Hallam, C. R. Lawrence, I. R. Hooper, and J. R. Sambles, "Broad-band polarization conversion from a finite periodic structure in the microwave regime," Appl. Phys. Lett. 84, 849-851 (2004).
[CrossRef]

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

G. V. Morozov, D. W. L. Sprung, and J. Martorell, "Semiclassical coupled wave theory for TM waves in one-dimensional photonic crystals," Phys. Rev. E 70, 016606 (2004).
[CrossRef]

2003 (2)

A. Mandatori, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Birefringence in one-dimensional finite photonic bandgap structure," J. Opt. Soc. Am. B 20, 504-513 (2003).
[CrossRef]

I. Abdulhalim, "Reflective polarization conversion Fabry-Perot resonator using omnidirectional mirror of periodic anisotropic stack," Opt. Commun. 215, 225-230 (2003).
[CrossRef]

2002 (3)

H. Y. Lee, H. Makino, T. Yaoand, and A. Tanaka, "Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55m," Appl. Phys. Lett. 81, 4502-4504 (2002).
[CrossRef]

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

2001 (2)

S. R. Seshadri, "Polarization conversion by reflection in a thin-film grating," J. Opt. Soc. Am. A 18, 1765-1776 (2001).
[CrossRef]

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

2000 (1)

S. S. A. Obayya, B. M. A. Rahman, and H. A. El-Mikati, "Vector beam propagation analysis of polarisation conversion in periodically loded waveguides," IEEE Photon. Technol. Lett. 12, 1346-1348 (2000).
[CrossRef]

1999 (1)

1996 (2)

R. Akis and P. Vasilopoulos, "Large photonic band gaps and transmittance antiresonances in periodically modulated quasi-one-dimensional waveguides," Phys. Rev. E 53, 5369-5372 (1996).
[CrossRef]

M. E. Inchaussandague and R. A. Depine, "Polarization conversion from diffraction gratings made of uniaxial crystals," Phys. Rev. E 54, 2899-2911 (1996).
[CrossRef]

1995 (3)

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

J. J. G. M. van der Tol, F. Hakimzadeh, J. W. Pedersen, D. Li, and H. van Brug, "A new short and low-loss passive polarization converter on InP," IEEE Photon. Technol. Lett. 7, 32-34 (1995).
[CrossRef]

G. D. Landry and T. A. Maldonado, "Complete method to determine transmission and reflection characteristics at a planar interface between arbitrarily oriented biaxial media," J. Opt. Soc. Am. A 12, 2048-2063 (1995).
[CrossRef]

1994 (1)

R. A. Depine and M. L. Gigli, "Conversion between polarization states at the sinusoidal boundary of a uniaxial crystal," Phys. Rev. B 49, 8437-8445 (1994).
[CrossRef]

1992 (1)

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

1991 (1)

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

1987 (3)

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

L. Dobrzynski, "Interface response theory of continuous composite materials," Surf. Sci. 180, 489-504 (1987).
[CrossRef]

Abdulhalim, I.

I. Abdulhalim, "Reflective polarization conversion Fabry-Perot resonator using omnidirectional mirror of periodic anisotropic stack," Opt. Commun. 215, 225-230 (2003).
[CrossRef]

Akis, R.

R. Akis and P. Vasilopoulos, "Large photonic band gaps and transmittance antiresonances in periodically modulated quasi-one-dimensional waveguides," Phys. Rev. E 53, 5369-5372 (1996).
[CrossRef]

Akjouj, A.

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

Albrecht, P.

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

Alferness, R.

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

Astratov, V. N.

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Augustin, L. M.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Bertolotti, M.

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

A. Mandatori, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Birefringence in one-dimensional finite photonic bandgap structure," J. Opt. Soc. Am. B 20, 504-513 (2003).
[CrossRef]

Bloemer, M.

Bolla, L.

Bowden, C. M.

Bria, D.

N. Ouchani, D. Bria, A. Nougaoui, and B. Djafari-Rouhani, "Photonic band structure and omnidirectional band gap in anisotropic superlattice," Sol. Cells 90, 1445-1457 (2006).
[CrossRef]

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

Bristow, A. D.

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Brooks, C.

Centini, M.

Culshaw, I. S.

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

D'Aguanno, G.

de Laat, W.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Deng, H.

Depine, R. A.

M. E. Inchaussandague and R. A. Depine, "Polarization conversion from diffraction gratings made of uniaxial crystals," Phys. Rev. E 54, 2899-2911 (1996).
[CrossRef]

R. A. Depine and M. L. Gigli, "Conversion between polarization states at the sinusoidal boundary of a uniaxial crystal," Phys. Rev. B 49, 8437-8445 (1994).
[CrossRef]

Djafari-Rouhani, B.

N. Ouchani, D. Bria, A. Nougaoui, and B. Djafari-Rouhani, "Photonic band structure and omnidirectional band gap in anisotropic superlattice," Sol. Cells 90, 1445-1457 (2006).
[CrossRef]

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

Dobrzynski, L.

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

L. Dobrzynski, "Interface response theory of continuous composite materials," Surf. Sci. 180, 489-504 (1987).
[CrossRef]

El Boudouti, E. H.

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

El-Mikati, H. A.

S. S. A. Obayya, B. M. A. Rahman, and H. A. El-Mikati, "Vector beam propagation analysis of polarisation conversion in periodically loded waveguides," IEEE Photon. Technol. Lett. 12, 1346-1348 (2000).
[CrossRef]

Gigli, M. L.

R. A. Depine and M. L. Gigli, "Conversion between polarization states at the sinusoidal boundary of a uniaxial crystal," Phys. Rev. B 49, 8437-8445 (1994).
[CrossRef]

Goldstein, H.

H. Goldstein, Classical Mechanics (Addison-Wesley, 1957), pp. 107-109.

Groen, F. H.

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Hakimzadeh, F.

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

J. J. G. M. van der Tol, F. Hakimzadeh, J. W. Pedersen, D. Li, and H. van Brug, "A new short and low-loss passive polarization converter on InP," IEEE Photon. Technol. Lett. 7, 32-34 (1995).
[CrossRef]

Hallam, B. T.

B. T. Hallam, C. R. Lawrence, I. R. Hooper, and J. R. Sambles, "Broad-band polarization conversion from a finite periodic structure in the microwave regime," Appl. Phys. Lett. 84, 849-851 (2004).
[CrossRef]

Hamacherm, M.

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

Hammouchi, M.

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

Hanfoug, R.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Haus, J. W.

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

Heidrich, H.

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

Hooper, I. R.

B. T. Hallam, C. R. Lawrence, I. R. Hooper, and J. R. Sambles, "Broad-band polarization conversion from a finite periodic structure in the microwave regime," Appl. Phys. Lett. 84, 849-851 (2004).
[CrossRef]

Inchaussandague, M. E.

M. E. Inchaussandague and R. A. Depine, "Polarization conversion from diffraction gratings made of uniaxial crystals," Phys. Rev. E 54, 2899-2911 (1996).
[CrossRef]

Jessop, P. E.

John, S.

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Khalique, U.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Koch, T.

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

Koren, U.

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

Kotlyar, M. V.

Krauss, T. F.

M. V. Kotlyar, L. Bolla, M. Midrio, L. O'Faolain, and T. F. Krauss, "Compact polarization converter in InP-based material," Opt. Express 13, 5040-5045 (2005).
[CrossRef] [PubMed]

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Lahlaouti, M. L. H.

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

Landry, G. D.

Lawrence, C. R.

B. T. Hallam, C. R. Lawrence, I. R. Hooper, and J. R. Sambles, "Broad-band polarization conversion from a finite periodic structure in the microwave regime," Appl. Phys. Lett. 84, 849-851 (2004).
[CrossRef]

Lee, H. Y.

H. Y. Lee, H. Makino, T. Yaoand, and A. Tanaka, "Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55m," Appl. Phys. Lett. 81, 4502-4504 (2002).
[CrossRef]

Lekner, J.

Li, D.

J. J. G. M. van der Tol, F. Hakimzadeh, J. W. Pedersen, D. Li, and H. van Brug, "A new short and low-loss passive polarization converter on InP," IEEE Photon. Technol. Lett. 7, 32-34 (1995).
[CrossRef]

Makino, H.

H. Y. Lee, H. Makino, T. Yaoand, and A. Tanaka, "Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55m," Appl. Phys. Lett. 81, 4502-4504 (2002).
[CrossRef]

Maldonado, T. A.

Mandatori, A.

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

A. Mandatori, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Birefringence in one-dimensional finite photonic bandgap structure," J. Opt. Soc. Am. B 20, 504-513 (2003).
[CrossRef]

Martorell, J.

G. V. Morozov, D. W. L. Sprung, and J. Martorell, "Semiclassical coupled wave theory for TM waves in one-dimensional photonic crystals," Phys. Rev. E 70, 016606 (2004).
[CrossRef]

Metaal, E. G.

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

Midrio, M.

Miller, B. I.

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

Mir, A.

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

Moerman, I.

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

Morozov, G. V.

G. V. Morozov, D. W. L. Sprung, and J. Martorell, "Semiclassical coupled wave theory for TM waves in one-dimensional photonic crystals," Phys. Rev. E 70, 016606 (2004).
[CrossRef]

Nolting, H.-P.

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

Nougaoui, A.

N. Ouchani, D. Bria, A. Nougaoui, and B. Djafari-Rouhani, "Photonic band structure and omnidirectional band gap in anisotropic superlattice," Sol. Cells 90, 1445-1457 (2006).
[CrossRef]

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

Obayya, S. S. A.

S. S. A. Obayya, B. M. A. Rahman, and H. A. El-Mikati, "Vector beam propagation analysis of polarisation conversion in periodically loded waveguides," IEEE Photon. Technol. Lett. 12, 1346-1348 (2000).
[CrossRef]

Oei, Y. S.

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

O'Faolain, L.

Oron, M.

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

Ouchani, N.

N. Ouchani, D. Bria, A. Nougaoui, and B. Djafari-Rouhani, "Photonic band structure and omnidirectional band gap in anisotropic superlattice," Sol. Cells 90, 1445-1457 (2006).
[CrossRef]

Pedersen, J. W.

J. J. G. M. van der Tol, F. Hakimzadeh, J. W. Pedersen, D. Li, and H. van Brug, "A new short and low-loss passive polarization converter on InP," IEEE Photon. Technol. Lett. 7, 32-34 (1995).
[CrossRef]

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

Rahman, B. M. A.

S. S. A. Obayya, B. M. A. Rahman, and H. A. El-Mikati, "Vector beam propagation analysis of polarisation conversion in periodically loded waveguides," IEEE Photon. Technol. Lett. 12, 1346-1348 (2000).
[CrossRef]

Sambles, J. R.

B. T. Hallam, C. R. Lawrence, I. R. Hooper, and J. R. Sambles, "Broad-band polarization conversion from a finite periodic structure in the microwave regime," Appl. Phys. Lett. 84, 849-851 (2004).
[CrossRef]

Scalora, M.

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

A. Mandatori, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Birefringence in one-dimensional finite photonic bandgap structure," J. Opt. Soc. Am. B 20, 504-513 (2003).
[CrossRef]

Schroeter-Janssen, H.

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

Seshadri, S. R.

Shani, Y.

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

Shimada, R.

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Sibilia, C.

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

A. Mandatori, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Birefringence in one-dimensional finite photonic bandgap structure," J. Opt. Soc. Am. B 20, 504-513 (2003).
[CrossRef]

Simon, K.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Skolnick, M. S.

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Smit, M. K.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Sprung, D. W. L.

G. V. Morozov, D. W. L. Sprung, and J. Martorell, "Semiclassical coupled wave theory for TM waves in one-dimensional photonic crystals," Phys. Rev. E 70, 016606 (2004).
[CrossRef]

Tahraoui, A.

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Tanaka, A.

H. Y. Lee, H. Makino, T. Yaoand, and A. Tanaka, "Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55m," Appl. Phys. Lett. 81, 4502-4504 (2002).
[CrossRef]

Tarr, G.

C. Brooks, P. E. Jessop, H. Deng, D. O. Yevick, and G. Tarr, "Passive silicon-on-insulator polarization-rotating waveguides," Opt. Eng. (Bellingham) 45, 044603 (2006).
[CrossRef]

van Brug, H.

J. J. G. M. van der Tol, F. Hakimzadeh, J. W. Pedersen, D. Li, and H. van Brug, "A new short and low-loss passive polarization converter on InP," IEEE Photon. Technol. Lett. 7, 32-34 (1995).
[CrossRef]

van de Moosdijk, M.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

van der Tol, J. J. G. M.

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

J. J. G. M. van der Tol, F. Hakimzadeh, J. W. Pedersen, D. Li, and H. van Brug, "A new short and low-loss passive polarization converter on InP," IEEE Photon. Technol. Lett. 7, 32-34 (1995).
[CrossRef]

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

van Veldhoven, P. J.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Vasilopoulos, P.

R. Akis and P. Vasilopoulos, "Large photonic band gaps and transmittance antiresonances in periodically modulated quasi-one-dimensional waveguides," Phys. Rev. E 53, 5369-5372 (1996).
[CrossRef]

Vigneron, J. P.

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

Weinert, C. M.

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

Whittaker, D. M.

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Yablonovitch, E.

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Yaoand, T.

H. Y. Lee, H. Makino, T. Yaoand, and A. Tanaka, "Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55m," Appl. Phys. Lett. 81, 4502-4504 (2002).
[CrossRef]

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988), pp. 201-253.

Yevick, D. O.

Young, M. G.

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

Zhu, Y. C.

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

Zhukovsky, S.

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

Appl. Phys. Lett. (3)

H. Y. Lee, H. Makino, T. Yaoand, and A. Tanaka, "Si-based omnidirectional reflector and transmission filter optimized at a wavelength of 1.55m," Appl. Phys. Lett. 81, 4502-4504 (2002).
[CrossRef]

Y. Shani, R. Alferness, T. Koch, U. Koren, M. Oron, B. I. Miller, and M. G. Young, "Polarization rotation in asymmetric periodic loaded rib waveguides," Appl. Phys. Lett. 59, 1278-1280 (1991).
[CrossRef]

B. T. Hallam, C. R. Lawrence, I. R. Hooper, and J. R. Sambles, "Broad-band polarization conversion from a finite periodic structure in the microwave regime," Appl. Phys. Lett. 84, 849-851 (2004).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

H. Heidrich, P. Albrecht, M. Hamacherm, H.-P. Nolting, H. Schroeter-Janssen, and C. M. Weinert, "Passive mode converter with a periodically tilted InP/GaInAsP rib waveguide," IEEE Photon. Technol. Lett. 4, 34-36 (1992).
[CrossRef]

J. J. G. M. van der Tol, J. W. Pedersen, E. G. Metaal, F. Hakimzadeh, Y. S. Oei, F. H. Groen, and I. Moerman, "Realization of a short integrated optic passive polarization converter," IEEE Photon. Technol. Lett. 7, 893-895 (1995).
[CrossRef]

J. J. G. M. van der Tol, F. Hakimzadeh, J. W. Pedersen, D. Li, and H. van Brug, "A new short and low-loss passive polarization converter on InP," IEEE Photon. Technol. Lett. 7, 32-34 (1995).
[CrossRef]

S. S. A. Obayya, B. M. A. Rahman, and H. A. El-Mikati, "Vector beam propagation analysis of polarisation conversion in periodically loded waveguides," IEEE Photon. Technol. Lett. 12, 1346-1348 (2000).
[CrossRef]

J. Appl. Phys. (1)

D. Bria, B. Djafari-Rouhani, E. H. El Boudouti, A. Mir, A. Akjouj, and A. Nougaoui, "Omnidirectional optical mirror in a cladded-superlattice structure," J. Appl. Phys. 91, 2569-2572 (2002).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. Soc. Am. A (4)

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

I. Abdulhalim, "Reflective polarization conversion Fabry-Perot resonator using omnidirectional mirror of periodic anisotropic stack," Opt. Commun. 215, 225-230 (2003).
[CrossRef]

Opt. Eng. (Bellingham) (1)

C. Brooks, P. E. Jessop, H. Deng, D. O. Yevick, and G. Tarr, "Passive silicon-on-insulator polarization-rotating waveguides," Opt. Eng. (Bellingham) 45, 044603 (2006).
[CrossRef]

Opt. Express (1)

Phys. Rev. B (3)

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, M. Hammouchi, E. H. El Boudouti, and A. Nougaoui, "Theoretical analysis of the density of states and phase times: Application to resonant electromagnetic modes in finite superlattices," Phys. Rev. B 63, 035312 (2001).
[CrossRef]

A. Mandatori, C. Sibilia, M. Bertolotti, S. Zhukovsky, J. W. Haus, and M. Scalora, "Anomalous phase in one-dimensional, multilayer, periodic structures with birefringent materials," Phys. Rev. B 70, 165107.1-165107.11 (2004).
[CrossRef]

R. A. Depine and M. L. Gigli, "Conversion between polarization states at the sinusoidal boundary of a uniaxial crystal," Phys. Rev. B 49, 8437-8445 (1994).
[CrossRef]

Phys. Rev. E (4)

R. Akis and P. Vasilopoulos, "Large photonic band gaps and transmittance antiresonances in periodically modulated quasi-one-dimensional waveguides," Phys. Rev. E 53, 5369-5372 (1996).
[CrossRef]

M. E. Inchaussandague and R. A. Depine, "Polarization conversion from diffraction gratings made of uniaxial crystals," Phys. Rev. E 54, 2899-2911 (1996).
[CrossRef]

D. Bria, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, J. P. Vigneron, E. H. El Boudouti, and A. Nougaoui, "Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials," Phys. Rev. E 69, 066613 (2004).
[CrossRef]

G. V. Morozov, D. W. L. Sprung, and J. Martorell, "Semiclassical coupled wave theory for TM waves in one-dimensional photonic crystals," Phys. Rev. E 70, 016606 (2004).
[CrossRef]

Phys. Rev. Lett. (2)

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Proc. IEEE (1)

A. D. Bristow, V. N. Astratov, R. Shimada, I. S. Culshaw, M. S. Skolnick, D. M. Whittaker, A. Tahraoui, and T. F. Krauss, "Polarization conversion in the reflectivity properties of photonic crystal waveguides," Proc. IEEE 38, 880-884 (2002).

Sol. Cells (1)

N. Ouchani, D. Bria, A. Nougaoui, and B. Djafari-Rouhani, "Photonic band structure and omnidirectional band gap in anisotropic superlattice," Sol. Cells 90, 1445-1457 (2006).
[CrossRef]

Surf. Sci. (1)

L. Dobrzynski, "Interface response theory of continuous composite materials," Surf. Sci. 180, 489-504 (1987).
[CrossRef]

Other (3)

U. Khalique, Y. C. Zhu, J. J. G. M. van der Tol, L. M. Augustin, R. Hanfoug, F. H. Groen, M. van de Moosdijk, W. de Laat, K. Simon, P. J. van Veldhoven, and M. K. Smit, "Polarization converter on InP/InGaAsP fabricated with optical reduction wafer stepper," in Proceedings Symposium IEEE/LEOS, Benelux Chapter, Ghent, Belgium, December 2-3, 2004, pp. 131-134.

H. Goldstein, Classical Mechanics (Addison-Wesley, 1957), pp. 107-109.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988), pp. 201-253.

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Figures (12)

Fig. 1
Fig. 1

Anisotropic multilayer structure formed by two birefringent biaxial layers: N + 1 layers of Na N O 2 and N layers of SbSI; d i ( i = 1 , 2 ) is the thickness of layer i, D is the period of the finite system, and θ is the incident angle with respect to the z axis. The crystal of the first layer has the principal axis directed along the direction of the Cartesian axis while the crystal of the second layer is rotated with respect to the first one by the azimuth angle ϕ around the z axis. The input and output isotropic medium is air.

Fig. 2
Fig. 2

Variation of the reflection coefficients as a function of the reduced frequency Ω for several values of the azimuth angle of the SbSI layers and incidence angle, namely (a) ϕ 2 = 25 ° and θ = 0 ° , (b) ϕ 2 = 52 ° and θ = 20 ° , and (c) ϕ 2 = 75 ° and θ = 40 ° . The thicknesses of the Na N O 2 and SbSI layers are, respectively, d 1 = 0.7 and d 2 = 0.3 . The solid and the dashed curves represent, respectively, the R P P and R S P reflection coefficients. The incident light has a TM polarization.

Fig. 3
Fig. 3

Color map of the converted reflection coefficient R S P as functions of both the dimensionless reduced frequency Ω and the dimensionless film thickness L of an SbSI layer embedded in air. The incoming light has a TM polarization.

Fig. 4
Fig. 4

Map of the converted reflected coefficient R S P as functions of both the reduced frequency Ω and the thickness ratio d 2 D for air Sb S I Na N O 2 Sb S I air . The incident wave is of P polarization.

Fig. 5
Fig. 5

Color map of the converted reflected coefficient R S P as functions of both the reduced frequency Ω and the azimuthal angle ϕ 2 of the SbSI layers for finite anisotropic photonic structures composed of (a) two layers of Na N O 2 and one layer of SbSI and (b) two layers of SbSI and one layer of Na N O 2 . The incoming light has a TM polarization.

Fig. 6
Fig. 6

Variation of the reflection coefficients R S P as a function of the number of periods N of the superlattice. The triangle and the circle symbols represent, respectively, the R S P in the ( N + 1 ) Sb S I N Na N O 2 and in the ( N + 1 ) Na N O 2 N SbSI. The incident light has a TM polarization.

Fig. 7
Fig. 7

Color map of the converted reflected coefficient R S P as functions of both the reduced frequency Ω and the azimuthal angle ϕ 2 of the SbSI layers for a finite anisotropic photonic structure composed of 12 layers of Na N O 2 and 11 layers of SbSI. The input wave has a TM polarization.

Fig. 8
Fig. 8

Reflection coefficients as a function of the azimuth angle ϕ 2 of SbSI for a finite anisotropic photonic structure composed of 12 layers of Na N O 2 and 11 layers of SbSI at θ = 10 ° and Ω = 3.84 . The solid and the dashed curves represent, respectively, the R P P and R S P reflection coefficients.

Fig. 9
Fig. 9

Reflection coefficients as a function of the incidence angle θ for a finite anisotropic photonic structure composed of 12 layers of Na N O 2 and 11 layers of SbSI at ϕ 2 = 48 ° and Ω = 3.84 . The solid and the dashed curves have the same meaning as in Fig. 8.

Fig. 10
Fig. 10

Variation of the amplitude of the converted wave versus the number of periods N of the superlattice for a particular converter’s parameters ( ϕ 2 = 48 ° , Ω = 3.84 , and θ = 10 ° ).

Fig. 11
Fig. 11

Transmission coefficients as a function of the reduced frequency Ω for different values of the azimuth angle of the SbSI layers and incidence angle—namely (a) ϕ 2 = 25 ° and θ = 0 ° , (b) ϕ 2 = 48 ° and θ = 40 ° , (c) ϕ 2 = 75 ° and θ = 55 ° —while keeping ϕ 1 = 0 ° . The solid and the dashed curves represent, respectively, the T P P and T S P transmission coefficients. The incoming light has a TM polarization.

Fig. 12
Fig. 12

Color map of the converted transmission coefficient T S P as function of both the reduced frequency Ω and the azimuthal angle ϕ 2 of the SbSI layers for a finite anisotropic photonic structure composed of 12 layers of Na N O 2 and 11 layers of SbSI. The input wave has a TM polarization.

Equations (34)

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g ( D D ) = G ( D D ) + G ( D M ) { [ G ( M M ) ] 1 g ( M M ) [ G ( M M ) ] 1 [ G ( M M ) ] 1 } G ( M D ) ,
u ( D ) = U ( D ) + G ( D M ) { [ G ( M M ) ] 1 g ( M M ) [ G ( M M ) ] 1 [ G ( M M ) ] 1 } U ( M ) .
E R S ( z ) = r S S E i S ( z ) + r S P E i P ( z ) ,
E T S ( z ) = t S S E i S ( z ) + t S P E i P ( z ) ,
E R P ( z ) = r P S E i S ( z ) + r P P E i P ( z ) ,
E T P ( z ) = t P S E i S ( z ) + t P P E i P ( z ) .
R P R P P + R S P = r P P 2 + r S P 2 ,
R S R S S + R P S = r S S 2 + r P S 2 ,
T P T P P + T S P = t P P 2 + t S P 2 ,
T S T S S + T P S = t S S 2 + t P S 2 .
G X X ( Z , Z ) = C 2 α α + [ α A exp ( α + Z Z ) α + A + exp ( α Z Z ) ] ,
G Y X ( Z , Z ) = B D C 2 α α + [ α exp ( α + Z Z ) α + exp ( α Z Z ) ] ,
G Z X ( Z , Z ) = i q Y C 2 ϵ X Y ϵ Z Z [ exp ( α + Z Z ) exp ( α Z Z ) ] sgn ( Z Z ) ,
G X Y ( Z , Z ) = B D C 2 α α + [ α exp ( α + Z Z ) α + exp ( α Z Z ) ] ,
G Y Y ( Z , Z ) = C 2 α α + D [ α A + exp ( α + Z Z ) α + A exp ( α Z Z ) ] ,
G Z Y ( Z , Z ) = C 2 i q Y q 0 2 ϵ Z Z [ A + exp ( α + Z Z ) A exp ( α Z Z ) ] sgn ( Z Z ) ,
G X Z ( Z , Z ) = i q Y C 2 ϵ X Y ϵ Z Z [ exp ( α + Z Z ) exp ( α Z Z ) ] sgn ( Z Z ) ,
G Y Z ( Z , Z ) = C 2 i q Y q 0 2 ϵ Z Z [ A + exp ( α + Z Z ) A exp ( α Z Z ) ] sgn ( Z Z ) ,
G Z Z ( Z , Z ) = 1 q Y 2 q 0 2 ϵ Z Z [ 1 D δ ( Z Z ) + C 2 q Y 2 q 0 2 ϵ Z Z ( α + A + exp ( α + Z Z ) α A exp ( α Z Z ) ) ] ,
ϵ = [ ϵ x cos 2 ( ϕ ) + ϵ y sin 2 ( ϕ ) ( ϵ x ϵ y ) cos ( ϕ ) sin ( ϕ ) 0 ( ϵ x ϵ y ) cos ( ϕ ) sin ( ϕ ) ϵ x sin 2 ( ϕ ) + ϵ y cos 2 ( ϕ ) 0 0 0 ϵ z ] ;
q Z 2 = α ± 2 ,
α ± 2 = 1 2 ϵ Z Z [ [ q Y 2 ( ϵ Z Z + ϵ Y Y ) q 0 2 ϵ Z Z ( ϵ X X + ϵ Y Y ) ] ] ± [ [ k Z 2 ϵ Y Y ϵ Z Z ( q Y 2 q 0 2 ϵ X X ) ] 2 4 q 0 2 k Z 2 ϵ Z Z ϵ X Y 2 ] 1 2 ,
[ g i ( M M ) ] 1 = [ A i B i B i A i ] ,
A i = [ r i q i q i k i ] , B i = [ h i f i f i e i ] ,
r i = C i [ α i + A i coth θ i + α i A i + coth θ i ] ,
q i = C i B i [ α i + coth θ i + α i coth θ i ] ,
k i = C i D i [ α i + A i + coth θ i + α i A i coth θ i ] ,
h i = C i [ α i + A i ( sinh θ i + ) 1 α i A i + ( sinh θ i ) 1 ] ,
f i = C i B i [ α i ( sinh θ i ) 1 α i + ( sinh θ i + ) 1 ] ,
e i = C i D i [ α i A i ( sinh θ i ) 1 α i + A i + ( sinh θ i + ) 1 ] ,
r s s = ( 2 α d 11 + 1 ) , r p s = ( 2 α d 21 ) B s B p ,
t s s = ( 2 α d 13 ) , t p s = ( 2 α d 23 ) B s B p ,
r p p = ( 2 q 0 2 ϵ s α d 22 1 ) , r s p = ( 2 q 0 2 ϵ s α d 12 ) B p B s ,
t s p = ( 2 q 0 2 ϵ s α d 14 ) B p B s , t p p = ( 2 q 0 2 ϵ s α d 24 ) ,

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