Abstract

In this paper, we investigate the modal bifurcation in chiral multilayered fibers through an approach of rigorous modal theory. The mirror symmetry of this theory is presented to provide physical insights into the modal bifurcation. The modes that are double degenerate and mirror images originally in achiral fibers are bifurcated by the chirality in chiral fibers. The modal bifurcation in chiral Bragg fibers is examined as an application of the theory. General guidelines of designing chiral Bragg fibers to possess circular polarization selectivity and wavelength selectivity are proposed from physical considerations and verified by numerical calculations.

© 2013 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2013 (1)

2012 (1)

J.-F. Dong and J. Li, “Characteristics of guided modes in uniaxial chiral circular waveguides,” Prog. Electromagn. Res. 124, 331–345 (2012).
[CrossRef]

2011 (2)

2009 (1)

G. Shvets, S. Trendafilov, V. I. Kopp, D. Neugroschl, and A. Z. Genack, “Polarization properties of chiral fiber gratings,” J. Opt. A 11, 074007 (2009).
[CrossRef]

2007 (2)

J.-F. Dong, W.-D. Tao, and J. Xu, “Optical power characteristics of guided modes in a double-cladding chiral optical fiber,” Acta Photon. Sin. 36, 1044–1049 (2007).

A. Nair and P. Choudhury, “On the analysis of field patterns in chirofibers,” J. Electromagn. Waves Appl. 21, 2277–2286 (2007).
[CrossRef]

2005 (1)

2002 (2)

F. M. Janeiro, C. R. Paiva, and A. L. Topa, “Guidance and leakage properties of chiral optical fibers,” J. Opt. Soc. Am. B 19, 2558–2566 (2002).
[CrossRef]

P. Choudhury and T. Yoshino, “Dependence of optical power confinement on core/cladding chiralities in chirofibers,” Microw. Opt. Technol. Lett. 32, 359–364 (2002).
[CrossRef]

2001 (2)

1999 (1)

C. Brewitt-Taylor, P. Lederer, F. Smith, and S. Haq, “Measurement and prediction of helix-loaded chiral composites,” IEEE Trans. Antennas Propag. 47, 692–700 (1999).
[CrossRef]

1996 (1)

1995 (3)

R. Luebbers, H. Langdon, F. Hunsberger, C. Bohren, and S. Yoshikawa, “Calculation and measurement of the effective chirality parameter of a composite chiral material over a wide frequency band,” IEEE Trans. Antennas Propag. 43, 123–130 (1995).
[CrossRef]

S. Mahmoud, “Guided modes on open chirowaveguides,” IEEE Trans. Microwave Theory Tech. 43, 205–209 (1995).
[CrossRef]

H. Cory, “Chiral devices-an overview of canonical problems,” J. Electromagn. Waves Appl. 9, 805–829 (1995).
[CrossRef]

1994 (2)

F. Mariotte, P. Pelet, and N. Engheta, “A review of recent study of guided waves in chiral media,” Prog. Electromagn. Res. 9, 311–350 (1994).

R. C. Qiu and I.-T. Lu, “Guided waves in chiral optical fibers,” J. Opt. Soc. Am. A 11, 3212–3219 (1994).
[CrossRef]

1993 (1)

K. Singh, P. Choudhury, V. Misra, P. Khastgir, and S. Ojha, “Field cutoffs of three-layer parabolically deformed planar chirowaveguides,” J. Phys. Soc. Jpn. 62, 3778–3782 (1993).
[CrossRef]

1992 (1)

1990 (1)

J. Svedin, “Propagation analysis of chirowaveguides using the finite-element method,” IEEE Trans. Microwave Theory Tech. 38, 1488–1496 (1990).
[CrossRef]

1989 (2)

N. Engheta and P. Pelet, “Modes in chirowaveguides,” Opt. Lett. 14, 593–595 (1989).
[CrossRef]

C. Eftimiu and L. Parson, “Guided electromagnetic waves in chiral media,” Radio Sci. 24, 351–359 (1989).
[CrossRef]

1988 (1)

N. Engheta and D. Jaggard, “Electromagnetic chirality and its applications,” IEEE Antennas Propag. Newsletter 30(5), 6–12 (1988).

1978 (1)

P. Yeh, A. Yariv, and E. Marom, “Theory of Bragg fiber,” J. Opt. Soc. Am. A 68, 1196–1201 (1978).
[CrossRef]

1974 (1)

C. Bohren, “Light scattering by an optically active sphere,” Chem. Phys. Lett. 29, 458–462 (1974).
[CrossRef]

Argyros, A.

Barbosa, A. M.

Bohren, C.

R. Luebbers, H. Langdon, F. Hunsberger, C. Bohren, and S. Yoshikawa, “Calculation and measurement of the effective chirality parameter of a composite chiral material over a wide frequency band,” IEEE Trans. Antennas Propag. 43, 123–130 (1995).
[CrossRef]

C. Bohren, “Light scattering by an optically active sphere,” Chem. Phys. Lett. 29, 458–462 (1974).
[CrossRef]

Brewitt-Taylor, C.

C. Brewitt-Taylor, P. Lederer, F. Smith, and S. Haq, “Measurement and prediction of helix-loaded chiral composites,” IEEE Trans. Antennas Propag. 47, 692–700 (1999).
[CrossRef]

Cao, Y.

Choudhury, P.

A. Nair and P. Choudhury, “On the analysis of field patterns in chirofibers,” J. Electromagn. Waves Appl. 21, 2277–2286 (2007).
[CrossRef]

P. Choudhury and T. Yoshino, “Dependence of optical power confinement on core/cladding chiralities in chirofibers,” Microw. Opt. Technol. Lett. 32, 359–364 (2002).
[CrossRef]

K. Singh, P. Choudhury, V. Misra, P. Khastgir, and S. Ojha, “Field cutoffs of three-layer parabolically deformed planar chirowaveguides,” J. Phys. Soc. Jpn. 62, 3778–3782 (1993).
[CrossRef]

Cory, H.

H. Cory, “Chiral devices-an overview of canonical problems,” J. Electromagn. Waves Appl. 9, 805–829 (1995).
[CrossRef]

Docherty, A.

Dong, J.-F.

J.-F. Dong and J. Li, “Characteristics of guided modes in uniaxial chiral circular waveguides,” Prog. Electromagn. Res. 124, 331–345 (2012).
[CrossRef]

J.-F. Dong, W.-D. Tao, and J. Xu, “Optical power characteristics of guided modes in a double-cladding chiral optical fiber,” Acta Photon. Sin. 36, 1044–1049 (2007).

Eftimiu, C.

C. Eftimiu and L. Parson, “Guided electromagnetic waves in chiral media,” Radio Sci. 24, 351–359 (1989).
[CrossRef]

Engeness, T.

Engheta, N.

F. Mariotte, P. Pelet, and N. Engheta, “A review of recent study of guided waves in chiral media,” Prog. Electromagn. Res. 9, 311–350 (1994).

N. Engheta and P. Pelet, “Modes in chirowaveguides,” Opt. Lett. 14, 593–595 (1989).
[CrossRef]

N. Engheta and D. Jaggard, “Electromagnetic chirality and its applications,” IEEE Antennas Propag. Newsletter 30(5), 6–12 (1988).

Fink, Y.

Flood, K. M.

Genack, A. Z.

G. Shvets, S. Trendafilov, V. I. Kopp, D. Neugroschl, and A. Z. Genack, “Polarization properties of chiral fiber gratings,” J. Opt. A 11, 074007 (2009).
[CrossRef]

Goldstein, D.

D. Goldstein, Polarized Light, 3rd ed. (CRC Press, 2010).

Haq, S.

C. Brewitt-Taylor, P. Lederer, F. Smith, and S. Haq, “Measurement and prediction of helix-loaded chiral composites,” IEEE Trans. Antennas Propag. 47, 692–700 (1999).
[CrossRef]

Herman, W. N.

Hunsberger, F.

R. Luebbers, H. Langdon, F. Hunsberger, C. Bohren, and S. Yoshikawa, “Calculation and measurement of the effective chirality parameter of a composite chiral material over a wide frequency band,” IEEE Trans. Antennas Propag. 43, 123–130 (1995).
[CrossRef]

Ibanescu, M.

Jacobs, S.

Jaggard, D.

N. Engheta and D. Jaggard, “Electromagnetic chirality and its applications,” IEEE Antennas Propag. Newsletter 30(5), 6–12 (1988).

Jaggard, D. L.

Janeiro, F. M.

Joannopoulos, J.

Johnson, S.

Khastgir, P.

K. Singh, P. Choudhury, V. Misra, P. Khastgir, and S. Ojha, “Field cutoffs of three-layer parabolically deformed planar chirowaveguides,” J. Phys. Soc. Jpn. 62, 3778–3782 (1993).
[CrossRef]

Kopp, V. I.

G. Shvets, S. Trendafilov, V. I. Kopp, D. Neugroschl, and A. Z. Genack, “Polarization properties of chiral fiber gratings,” J. Opt. A 11, 074007 (2009).
[CrossRef]

Lakhtakia, A.

A. Lakhtakia, V. K. Varadan, and V. V. Varadan, Time-Harmonic Electromagnetic Fields in Chiral Media, Lecture Notes in Physics Series Vol. 335 (Springer, 1989).

Langdon, H.

R. Luebbers, H. Langdon, F. Hunsberger, C. Bohren, and S. Yoshikawa, “Calculation and measurement of the effective chirality parameter of a composite chiral material over a wide frequency band,” IEEE Trans. Antennas Propag. 43, 123–130 (1995).
[CrossRef]

Lederer, P.

C. Brewitt-Taylor, P. Lederer, F. Smith, and S. Haq, “Measurement and prediction of helix-loaded chiral composites,” IEEE Trans. Antennas Propag. 47, 692–700 (1999).
[CrossRef]

Li, J.

Lu, I.-T.

Luebbers, R.

R. Luebbers, H. Langdon, F. Hunsberger, C. Bohren, and S. Yoshikawa, “Calculation and measurement of the effective chirality parameter of a composite chiral material over a wide frequency band,” IEEE Trans. Antennas Propag. 43, 123–130 (1995).
[CrossRef]

Mahmoud, S.

S. Mahmoud, “Guided modes on open chirowaveguides,” IEEE Trans. Microwave Theory Tech. 43, 205–209 (1995).
[CrossRef]

Mariotte, F.

F. Mariotte, P. Pelet, and N. Engheta, “A review of recent study of guided waves in chiral media,” Prog. Electromagn. Res. 9, 311–350 (1994).

Marom, E.

P. Yeh, A. Yariv, and E. Marom, “Theory of Bragg fiber,” J. Opt. Soc. Am. A 68, 1196–1201 (1978).
[CrossRef]

Misra, V.

K. Singh, P. Choudhury, V. Misra, P. Khastgir, and S. Ojha, “Field cutoffs of three-layer parabolically deformed planar chirowaveguides,” J. Phys. Soc. Jpn. 62, 3778–3782 (1993).
[CrossRef]

Nair, A.

A. Nair and P. Choudhury, “On the analysis of field patterns in chirofibers,” J. Electromagn. Waves Appl. 21, 2277–2286 (2007).
[CrossRef]

Neugroschl, D.

G. Shvets, S. Trendafilov, V. I. Kopp, D. Neugroschl, and A. Z. Genack, “Polarization properties of chiral fiber gratings,” J. Opt. A 11, 074007 (2009).
[CrossRef]

Ojha, S.

K. Singh, P. Choudhury, V. Misra, P. Khastgir, and S. Ojha, “Field cutoffs of three-layer parabolically deformed planar chirowaveguides,” J. Phys. Soc. Jpn. 62, 3778–3782 (1993).
[CrossRef]

Paiva, C. R.

Parson, L.

C. Eftimiu and L. Parson, “Guided electromagnetic waves in chiral media,” Radio Sci. 24, 351–359 (1989).
[CrossRef]

Pelet, P.

F. Mariotte, P. Pelet, and N. Engheta, “A review of recent study of guided waves in chiral media,” Prog. Electromagn. Res. 9, 311–350 (1994).

N. Engheta and P. Pelet, “Modes in chirowaveguides,” Opt. Lett. 14, 593–595 (1989).
[CrossRef]

Poladian, L.

Qiu, R. C.

Shvets, G.

G. Shvets, S. Trendafilov, V. I. Kopp, D. Neugroschl, and A. Z. Genack, “Polarization properties of chiral fiber gratings,” J. Opt. A 11, 074007 (2009).
[CrossRef]

Singh, K.

K. Singh, P. Choudhury, V. Misra, P. Khastgir, and S. Ojha, “Field cutoffs of three-layer parabolically deformed planar chirowaveguides,” J. Phys. Soc. Jpn. 62, 3778–3782 (1993).
[CrossRef]

Skorobogatiy, M.

Smith, F.

C. Brewitt-Taylor, P. Lederer, F. Smith, and S. Haq, “Measurement and prediction of helix-loaded chiral composites,” IEEE Trans. Antennas Propag. 47, 692–700 (1999).
[CrossRef]

Soljacic, M.

Straton, M.

Su, Q.

Svedin, J.

J. Svedin, “Propagation analysis of chirowaveguides using the finite-element method,” IEEE Trans. Microwave Theory Tech. 38, 1488–1496 (1990).
[CrossRef]

Tao, W.-D.

J.-F. Dong, W.-D. Tao, and J. Xu, “Optical power characteristics of guided modes in a double-cladding chiral optical fiber,” Acta Photon. Sin. 36, 1044–1049 (2007).

Topa, A. L.

Trendafilov, S.

G. Shvets, S. Trendafilov, V. I. Kopp, D. Neugroschl, and A. Z. Genack, “Polarization properties of chiral fiber gratings,” J. Opt. A 11, 074007 (2009).
[CrossRef]

Varadan, V. K.

A. Lakhtakia, V. K. Varadan, and V. V. Varadan, Time-Harmonic Electromagnetic Fields in Chiral Media, Lecture Notes in Physics Series Vol. 335 (Springer, 1989).

Varadan, V. V.

A. Lakhtakia, V. K. Varadan, and V. V. Varadan, Time-Harmonic Electromagnetic Fields in Chiral Media, Lecture Notes in Physics Series Vol. 335 (Springer, 1989).

Weisberg, O.

Xu, J.

J.-F. Dong, W.-D. Tao, and J. Xu, “Optical power characteristics of guided modes in a double-cladding chiral optical fiber,” Acta Photon. Sin. 36, 1044–1049 (2007).

Yariv, A.

P. Yeh, A. Yariv, and E. Marom, “Theory of Bragg fiber,” J. Opt. Soc. Am. A 68, 1196–1201 (1978).
[CrossRef]

Yeh, P.

P. Yeh, A. Yariv, and E. Marom, “Theory of Bragg fiber,” J. Opt. Soc. Am. A 68, 1196–1201 (1978).
[CrossRef]

Yoshikawa, S.

R. Luebbers, H. Langdon, F. Hunsberger, C. Bohren, and S. Yoshikawa, “Calculation and measurement of the effective chirality parameter of a composite chiral material over a wide frequency band,” IEEE Trans. Antennas Propag. 43, 123–130 (1995).
[CrossRef]

Yoshino, T.

P. Choudhury and T. Yoshino, “Dependence of optical power confinement on core/cladding chiralities in chirofibers,” Microw. Opt. Technol. Lett. 32, 359–364 (2002).
[CrossRef]

Zwillinger, D.

D. Zwillinger, Standard Mathematical Tables and Formulae, 31st ed (CRC Press, 2003).

Acta Photon. Sin. (1)

J.-F. Dong, W.-D. Tao, and J. Xu, “Optical power characteristics of guided modes in a double-cladding chiral optical fiber,” Acta Photon. Sin. 36, 1044–1049 (2007).

Chem. Phys. Lett. (1)

C. Bohren, “Light scattering by an optically active sphere,” Chem. Phys. Lett. 29, 458–462 (1974).
[CrossRef]

IEEE Antennas Propag. Newsletter (1)

N. Engheta and D. Jaggard, “Electromagnetic chirality and its applications,” IEEE Antennas Propag. Newsletter 30(5), 6–12 (1988).

IEEE Trans. Antennas Propag. (2)

C. Brewitt-Taylor, P. Lederer, F. Smith, and S. Haq, “Measurement and prediction of helix-loaded chiral composites,” IEEE Trans. Antennas Propag. 47, 692–700 (1999).
[CrossRef]

R. Luebbers, H. Langdon, F. Hunsberger, C. Bohren, and S. Yoshikawa, “Calculation and measurement of the effective chirality parameter of a composite chiral material over a wide frequency band,” IEEE Trans. Antennas Propag. 43, 123–130 (1995).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (2)

S. Mahmoud, “Guided modes on open chirowaveguides,” IEEE Trans. Microwave Theory Tech. 43, 205–209 (1995).
[CrossRef]

J. Svedin, “Propagation analysis of chirowaveguides using the finite-element method,” IEEE Trans. Microwave Theory Tech. 38, 1488–1496 (1990).
[CrossRef]

J. Electromagn. Waves Appl. (2)

H. Cory, “Chiral devices-an overview of canonical problems,” J. Electromagn. Waves Appl. 9, 805–829 (1995).
[CrossRef]

A. Nair and P. Choudhury, “On the analysis of field patterns in chirofibers,” J. Electromagn. Waves Appl. 21, 2277–2286 (2007).
[CrossRef]

J. Opt. A (1)

G. Shvets, S. Trendafilov, V. I. Kopp, D. Neugroschl, and A. Z. Genack, “Polarization properties of chiral fiber gratings,” J. Opt. A 11, 074007 (2009).
[CrossRef]

J. Opt. Soc. Am. A (3)

J. Opt. Soc. Am. B (3)

J. Phys. Soc. Jpn. (1)

K. Singh, P. Choudhury, V. Misra, P. Khastgir, and S. Ojha, “Field cutoffs of three-layer parabolically deformed planar chirowaveguides,” J. Phys. Soc. Jpn. 62, 3778–3782 (1993).
[CrossRef]

Microw. Opt. Technol. Lett. (1)

P. Choudhury and T. Yoshino, “Dependence of optical power confinement on core/cladding chiralities in chirofibers,” Microw. Opt. Technol. Lett. 32, 359–364 (2002).
[CrossRef]

Opt. Express (2)

Opt. Lett. (4)

Prog. Electromagn. Res. (2)

J.-F. Dong and J. Li, “Characteristics of guided modes in uniaxial chiral circular waveguides,” Prog. Electromagn. Res. 124, 331–345 (2012).
[CrossRef]

F. Mariotte, P. Pelet, and N. Engheta, “A review of recent study of guided waves in chiral media,” Prog. Electromagn. Res. 9, 311–350 (1994).

Radio Sci. (1)

C. Eftimiu and L. Parson, “Guided electromagnetic waves in chiral media,” Radio Sci. 24, 351–359 (1989).
[CrossRef]

Other (3)

D. Zwillinger, Standard Mathematical Tables and Formulae, 31st ed (CRC Press, 2003).

D. Goldstein, Polarized Light, 3rd ed. (CRC Press, 2010).

A. Lakhtakia, V. K. Varadan, and V. V. Varadan, Time-Harmonic Electromagnetic Fields in Chiral Media, Lecture Notes in Physics Series Vol. 335 (Springer, 1989).

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