Abstract

Asymmetric graded-index (GRIN) inhomogeneous medium is proposed to enable even-to-odd mode conversion. An exponential refractive index profile is implemented to induce an asymmetric refractive index distribution. A two-dimensional photonic crystal structure composed of constant dielectric radii with rectangular unit cells is deployed. Efficient mode transformation in a compact structure may promote the manipulation of light for the creation of other types of higher-order modes in asymmetric GRIN structures.

© 2013 Optical Society of America

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References

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2012 (1)

F. Gaufillet and É. Akmansoy, Opt. Commun. 285, 2638 (2012).
[CrossRef]

2011 (2)

2010 (2)

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

B. Vasic, G. Isic, R. Gajic, and K. Hingerl, Opt. Express 18, 20321 (2010).
[CrossRef]

2009 (1)

O. Cakmak, E. Colak, H. Caglayan, H. Kurt, and E. Ozbay, J. Appl. Phys. 105, 103708 (2009).
[CrossRef]

2007 (3)

J. Castillo, J. Castro, R. Kostuk, and D. Geraghty, Photon. Technol. Lett. 19, 85 (2007).
[CrossRef]

H. Kurt and D. S. Citrin, Opt. Express 15, 1240 (2007).
[CrossRef]

H. Kurt and D. S. Citrin, IEEE Photon. Technol. Lett. 19, 1532 (2007).
[CrossRef]

2006 (1)

E. Centeno, D. Cassagne, and J. P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

2005 (1)

2004 (1)

1994 (1)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

1987 (2)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef]

Akmansoy, É.

F. Gaufillet and É. Akmansoy, Opt. Commun. 285, 2638 (2012).
[CrossRef]

Albert, J. P.

E. Centeno, D. Cassagne, and J. P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

Bass, R.

Berenger, J. P.

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Bermel, P.

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Boos, J.

Caglayan, H.

O. Cakmak, E. Colak, H. Caglayan, H. Kurt, and E. Ozbay, J. Appl. Phys. 105, 103708 (2009).
[CrossRef]

Cakmak, O.

O. Cakmak, E. Colak, H. Caglayan, H. Kurt, and E. Ozbay, J. Appl. Phys. 105, 103708 (2009).
[CrossRef]

Cassagne, D.

E. Centeno, D. Cassagne, and J. P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

Castillo, J.

J. Castillo, J. Castro, R. Kostuk, and D. Geraghty, Photon. Technol. Lett. 19, 85 (2007).
[CrossRef]

Castro, J.

J. Castillo, J. Castro, R. Kostuk, and D. Geraghty, Photon. Technol. Lett. 19, 85 (2007).
[CrossRef]

J. Castro, D. Geraghty, S. Honkanen, C. Greiner, D. Iazikov, and T. Mossberg, Opt. Express 13, 4180 (2005).
[CrossRef]

Centeno, E.

E. Centeno, D. Cassagne, and J. P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

Citrin, D. S.

H. Kurt and D. S. Citrin, IEEE Photon. Technol. Lett. 19, 1532 (2007).
[CrossRef]

H. Kurt and D. S. Citrin, Opt. Express 15, 1240 (2007).
[CrossRef]

Colak, E.

O. Cakmak, E. Colak, H. Caglayan, H. Kurt, and E. Ozbay, J. Appl. Phys. 105, 103708 (2009).
[CrossRef]

Fejer, M.

Gajic, R.

Gaufillet, F.

F. Gaufillet and É. Akmansoy, Opt. Commun. 285, 2638 (2012).
[CrossRef]

Geraghty, D.

J. Castillo, J. Castro, R. Kostuk, and D. Geraghty, Photon. Technol. Lett. 19, 85 (2007).
[CrossRef]

J. Castro, D. Geraghty, S. Honkanen, C. Greiner, D. Iazikov, and T. Mossberg, Opt. Express 13, 4180 (2005).
[CrossRef]

Greiner, C.

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method(Artech House, 2005).

Hingerl, K.

Honkanen, S.

Huang, J.

Iazikov, D.

Ibanescu, M.

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Isic, G.

Joannopoulos, J. D.

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

John, S.

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef]

Johnson, S. G.

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Khurgin, J.

Kostuk, R.

J. Castillo, J. Castro, R. Kostuk, and D. Geraghty, Photon. Technol. Lett. 19, 85 (2007).
[CrossRef]

Kurt, H.

O. Cakmak, E. Colak, H. Caglayan, H. Kurt, and E. Ozbay, J. Appl. Phys. 105, 103708 (2009).
[CrossRef]

H. Kurt and D. S. Citrin, IEEE Photon. Technol. Lett. 19, 1532 (2007).
[CrossRef]

H. Kurt and D. S. Citrin, Opt. Express 15, 1240 (2007).
[CrossRef]

Kurz, J.

Meade, R. D.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Mossberg, T.

Niemi, T.

C. Tan, T. Niemi, C. Peng, and M. Pessa, Opt. Commun. 284, 3140 (2011).
[CrossRef]

Oskooi, F.

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Ozbay, E.

O. Cakmak, E. Colak, H. Caglayan, H. Kurt, and E. Ozbay, J. Appl. Phys. 105, 103708 (2009).
[CrossRef]

Peng, C.

C. Tan, T. Niemi, C. Peng, and M. Pessa, Opt. Commun. 284, 3140 (2011).
[CrossRef]

Pessa, M.

C. Tan, T. Niemi, C. Peng, and M. Pessa, Opt. Commun. 284, 3140 (2011).
[CrossRef]

Pruessner, M.

Rabinovich, W.

Roundy, D.

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

Saida, T.

Stievater, T.

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method(Artech House, 2005).

Tan, C.

C. Tan, T. Niemi, C. Peng, and M. Pessa, Opt. Commun. 284, 3140 (2011).
[CrossRef]

Urick, V.

Vasic, B.

Winn, J. N.

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

Xie, X.

Yablonovitch, E.

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef]

Yariv, A.

A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications (Oxford University Express, 2007).

Yeh, P.

A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications (Oxford University Express, 2007).

Comput. Phys. Commun. (1)

F. Oskooi, D. Roundy, M. Ibanescu, P. Bermel, J. D. Joannopoulos, and S. G. Johnson, Comput. Phys. Commun. 181, 687 (2010).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

H. Kurt and D. S. Citrin, IEEE Photon. Technol. Lett. 19, 1532 (2007).
[CrossRef]

J. Appl. Phys. (1)

O. Cakmak, E. Colak, H. Caglayan, H. Kurt, and E. Ozbay, J. Appl. Phys. 105, 103708 (2009).
[CrossRef]

J. Comput. Phys. (1)

J. P. Berenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Opt. Commun. (2)

F. Gaufillet and É. Akmansoy, Opt. Commun. 285, 2638 (2012).
[CrossRef]

C. Tan, T. Niemi, C. Peng, and M. Pessa, Opt. Commun. 284, 3140 (2011).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Photon. Technol. Lett. (1)

J. Castillo, J. Castro, R. Kostuk, and D. Geraghty, Photon. Technol. Lett. 19, 85 (2007).
[CrossRef]

Phys. Rev. B (1)

E. Centeno, D. Cassagne, and J. P. Albert, Phys. Rev. B 73, 235119 (2006).
[CrossRef]

Phys. Rev. Lett. (2)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef]

Other (3)

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications (Oxford University Express, 2007).

A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method(Artech House, 2005).

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Figures (3)

Fig. 1.
Fig. 1.

Schematic representation of (a) symmetric and (b) asymmetric GRIN PC structures and their refractive index distributions.

Fig. 2.
Fig. 2.

Symbolic ray paths of incident rays propagating in (a) symmetric and (b) asymmetric GRIN media.

Fig. 3.
Fig. 3.

(a) Refractive index variations of continuous GRIN profile (dashed line) and its approximate GRIN PC profile with markers. (b) Electric field of the radiated beam at a predefined time step. Enlarged view of the asymmetric GRIN PC structure is also shown. (c) Cross-sectional amplitude profiles of an ideal odd-mode beam and converted light beam at the output of the GRIN structure.

Equations (3)

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n(y)={n0exp(αy),y0n0exp(α(y+h/2)),y<0,
dds(ndrds)=n,
Δφ=kn(y)ds,

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