Abstract

An on-chip waveguide-based source of entangled photons capable of switching between generating time-energy entangled and hyperentangled (entangled in both time energy and polarization) photon pairs is proposed. The switching can be done all-optically by rotating the pump polarization. The source is based on multichannel phase matching in Bragg reflection waveguides achieved by engineering the Fresnel reflection of photonic bandgap claddings for differently polarized modes. Analytical results are confirmed in fully vectorial numerical simulations.

© 2011 Optical Society of America

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  1. T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
    [CrossRef]
  2. J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photon. 3, 687 (2009).
    [CrossRef]
  3. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
    [CrossRef]
  4. K. Edamatsu, Jpn. J. Appl. Phys. 46, 7175 (2007).
    [CrossRef]
  5. M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, IEEE Photon. J. 2, 736 (2010).
    [CrossRef]
  6. P. G. Kwiat, J. Mod. Opt. 44, 2173 (1997).
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    [CrossRef] [PubMed]
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    [CrossRef]
  9. C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
  16. C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2010 (5)

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, IEEE Photon. J. 2, 736 (2010).
[CrossRef]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, Opt. Express 18, 20475 (2010).
[CrossRef] [PubMed]

C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
[CrossRef]

2009 (3)

P. Abolghasem, J. Han, B. J. Bijlani, A. Arjmand, and A. S. Helmy, IEEE Photon. Technol. Lett. 21, 1462 (2009).
[CrossRef]

P. Abolghasem, M. Hendrych, X. Shi, J. P. Torres, and A. S. Helmy, Opt. Lett. 34, 2000 (2009).
[CrossRef] [PubMed]

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photon. 3, 687 (2009).
[CrossRef]

2008 (1)

2007 (2)

2006 (2)

2005 (2)

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
[CrossRef] [PubMed]

2004 (2)

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

2002 (1)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

1997 (1)

P. G. Kwiat, J. Mod. Opt. 44, 2173 (1997).

1996 (1)

D. V. Strekalov, T. B. Pittman, A. V. Sergienko, Y. H. Shih, and P. G. Kwiat, Phys. Rev. A 54, R1 (1996).
[CrossRef] [PubMed]

Abolghasem, P.

P. Abolghasem, M. Hendrych, X. Shi, J. P. Torres, and A. S. Helmy, Opt. Lett. 34, 2000 (2009).
[CrossRef] [PubMed]

P. Abolghasem, J. Han, B. J. Bijlani, A. Arjmand, and A. S. Helmy, IEEE Photon. Technol. Lett. 21, 1462 (2009).
[CrossRef]

B. Bijlani, P. Abolghasem, A. Reijnders, and A. S. Helmy, in CLEO:2011—Laser Applications to Photonic Applications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper PDPA3.

Arjmand, A.

P. Abolghasem, J. Han, B. J. Bijlani, A. Arjmand, and A. S. Helmy, IEEE Photon. Technol. Lett. 21, 1462 (2009).
[CrossRef]

Barbieri, M.

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
[CrossRef] [PubMed]

Barreiro, J. T.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Beausoleil, R. G.

Berger, V.

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Bijlani, B.

B. Bijlani, P. Abolghasem, A. Reijnders, and A. S. Helmy, in CLEO:2011—Laser Applications to Photonic Applications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper PDPA3.

Bijlani, B. J.

P. Abolghasem, J. Han, B. J. Bijlani, A. Arjmand, and A. S. Helmy, IEEE Photon. Technol. Lett. 21, 1462 (2009).
[CrossRef]

Calligaro, M.

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Chen, K.

C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
[CrossRef]

Chen, Y.-N.

C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
[CrossRef]

Cinelli, C.

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
[CrossRef] [PubMed]

Crespi, A.

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

De Martini, F.

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
[CrossRef] [PubMed]

De Rossi, A.

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Di Giuseppe, G.

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, Opt. Express 18, 20475 (2010).
[CrossRef] [PubMed]

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, IEEE Photon. J. 2, 736 (2010).
[CrossRef]

Ducci, S.

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Edamatsu, K.

K. Edamatsu, Jpn. J. Appl. Phys. 46, 7175 (2007).
[CrossRef]

Feng, S.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Fiorentino, M.

Furusawa, A.

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photon. 3, 687 (2009).
[CrossRef]

Ginzburg, P.

Gisin, N.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Han, J.

P. Abolghasem, J. Han, B. J. Bijlani, A. Arjmand, and A. S. Helmy, IEEE Photon. Technol. Lett. 21, 1462 (2009).
[CrossRef]

Hayat, A.

Helmy, A. S.

P. Abolghasem, M. Hendrych, X. Shi, J. P. Torres, and A. S. Helmy, Opt. Lett. 34, 2000 (2009).
[CrossRef] [PubMed]

P. Abolghasem, J. Han, B. J. Bijlani, A. Arjmand, and A. S. Helmy, IEEE Photon. Technol. Lett. 21, 1462 (2009).
[CrossRef]

A. S. Helmy, Opt. Express 14, 1243 (2006).
[CrossRef] [PubMed]

B. R. West and A. S. Helmy, J. Opt. Soc. Am. B 23, 1207(2006).
[CrossRef]

B. Bijlani, P. Abolghasem, A. Reijnders, and A. S. Helmy, in CLEO:2011—Laser Applications to Photonic Applications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper PDPA3.

Hendrych, M.

Jelezko, F.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

Jennings, G.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Kwiat, P. G.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

P. G. Kwiat, J. Mod. Opt. 44, 2173 (1997).

D. V. Strekalov, T. B. Pittman, A. V. Sergienko, Y. H. Shih, and P. G. Kwiat, Phys. Rev. A 54, R1 (1996).
[CrossRef] [PubMed]

Ladd, T. D.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

Laflamme, R.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

Langford, N. K.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Li, C.-M.

C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
[CrossRef]

Mataloni, P.

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
[CrossRef] [PubMed]

Monroe, C.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

Nagle, J.

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Nakamura, Y.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

Neiman, D.

O’Brien, J. L.

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photon. 3, 687 (2009).
[CrossRef]

Orenstein, M.

Ortiz, V.

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Osellame, R.

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

Pan, J.-W.

C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
[CrossRef]

Perris, R.

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
[CrossRef] [PubMed]

Peters, N. A.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Pfister, O.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Pittman, T. B.

D. V. Strekalov, T. B. Pittman, A. V. Sergienko, Y. H. Shih, and P. G. Kwiat, Phys. Rev. A 54, R1 (1996).
[CrossRef] [PubMed]

Pooser, R.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Ramponi, R.

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

Reijnders, A.

B. Bijlani, P. Abolghasem, A. Reijnders, and A. S. Helmy, in CLEO:2011—Laser Applications to Photonic Applications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper PDPA3.

Reingruber, A.

C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
[CrossRef]

Ribordy, G.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Rosenblum, S.

Saleh, B. E. A.

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, IEEE Photon. J. 2, 736 (2010).
[CrossRef]

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, Opt. Express 18, 20475 (2010).
[CrossRef] [PubMed]

Saleh, M. F.

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, Opt. Express 18, 20475 (2010).
[CrossRef] [PubMed]

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, IEEE Photon. J. 2, 736 (2010).
[CrossRef]

Sansoni, L.

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

Sciarrino, F.

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

Sergienko, A. V.

D. V. Strekalov, T. B. Pittman, A. V. Sergienko, Y. H. Shih, and P. G. Kwiat, Phys. Rev. A 54, R1 (1996).
[CrossRef] [PubMed]

Shi, X.

Shih, Y. H.

D. V. Strekalov, T. B. Pittman, A. V. Sergienko, Y. H. Shih, and P. G. Kwiat, Phys. Rev. A 54, R1 (1996).
[CrossRef] [PubMed]

Spillane, S. M.

Strekalov, D. V.

D. V. Strekalov, T. B. Pittman, A. V. Sergienko, Y. H. Shih, and P. G. Kwiat, Phys. Rev. A 54, R1 (1996).
[CrossRef] [PubMed]

Teich, M. C.

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, IEEE Photon. J. 2, 736 (2010).
[CrossRef]

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, Opt. Express 18, 20475 (2010).
[CrossRef] [PubMed]

Tittel, W.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Torres, J. P.

Vallone, G.

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

Vinter, B.

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Vuckovic, J.

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photon. 3, 687 (2009).
[CrossRef]

West, B. R.

Xie, D.

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Zbinden, H.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

IEEE Photon. J. (1)

M. F. Saleh, G. Di Giuseppe, B. E. A. Saleh, and M. C. Teich, IEEE Photon. J. 2, 736 (2010).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

P. Abolghasem, J. Han, B. J. Bijlani, A. Arjmand, and A. S. Helmy, IEEE Photon. Technol. Lett. 21, 1462 (2009).
[CrossRef]

J. Mod. Opt. (1)

P. G. Kwiat, J. Mod. Opt. 44, 2173 (1997).

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

Jpn. J. Appl. Phys. (1)

K. Edamatsu, Jpn. J. Appl. Phys. 46, 7175 (2007).
[CrossRef]

Nat. Photon. (1)

J. L. O’Brien, A. Furusawa, and J. Vučković, Nat. Photon. 3, 687 (2009).
[CrossRef]

Nature (1)

T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O’Brien, Nature 464, 45 (2010).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Phys. Rev. A (2)

D. V. Strekalov, T. B. Pittman, A. V. Sergienko, Y. H. Shih, and P. G. Kwiat, Phys. Rev. A 54, R1 (1996).
[CrossRef] [PubMed]

O. Pfister, S. Feng, G. Jennings, R. Pooser, and D. Xie, Phys. Rev. A 70, 020302(R) (2004).
[CrossRef]

Phys. Rev. Lett. (4)

C.-M. Li, K. Chen, A. Reingruber, Y.-N. Chen, and J.-W. Pan, Phys. Rev. Lett. 105, 210504 (2010).
[CrossRef]

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

C. Cinelli, M. Barbieri, R. Perris, P. Mataloni, and F. De Martini, Phys. Rev. Lett. 95, 240405 (2005).
[CrossRef] [PubMed]

L. Sansoni, F. Sciarrino, G. Vallone, P. Mataloni, A. Crespi, R. Ramponi, and R. Osellame, Phys. Rev. Lett. 105, 200503(2010).
[CrossRef]

Rev. Mod. Phys. (1)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002).
[CrossRef]

Semicond. Sci. Technol. (1)

A. De Rossi, V. Ortiz, M. Calligaro, B. Vinter, J. Nagle, S. Ducci, and V. Berger, Semicond. Sci. Technol. 19, L99(2004).
[CrossRef]

Other (2)

Mode Solutions, version 4.0, Lumerical Solutions, Inc., http://www.lumerical.com/.

B. Bijlani, P. Abolghasem, A. Reijnders, and A. S. Helmy, in CLEO:2011—Laser Applications to Photonic Applications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper PDPA3.

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Figures (6)

Fig. 1
Fig. 1

(a) Sketch of an Al x Ga 1 x As -based ridge BRW. (b) Enlarged view of the 1D slab BRW under study, showing its geometrical parameters.

Fig. 2
Fig. 2

Illustration for the reflection and transmission coefficients used in Eqs. (2, 3, 4, 5) (see text).

Fig. 3
Fig. 3

Dispersion curves for fundamental and second-harmonic modes showing type I, type II, and type 0 PM: (a) 2D simulation results for a ridge waveguide with W = 4.4 μm ; (b) analytical results for an infinite-period, 1D slab waveguide.

Fig. 4
Fig. 4

(a) Intensity and (b) phase of R for different δ = δ h = δ l . The structure is as shown in Fig. 1.

Fig. 5
Fig. 5

Dependence of n TE n TM for the zero-order Bragg mode of TE versus TM polarization on the variation of layer thicknesses t c , l , h .

Fig. 6
Fig. 6

Dispersion relations of (a)–(b) structure with simultaneous type I and type II PM and (c)–(d) structure with simultaneous type II and type 0 PM. (a), (c) Analytical results for 1D slab waveguide with semi-infinite claddings, obtained from Eq. (5). (b), (d) Results from fully vectorial 2D simulation [19] for a ridge waveguide.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

1 R 2 exp ( 2 i δ c ) = 0 ,
R i = h , l = r i c + r i c e 2 i δ i 1 r i c 2 e 2 i δ i , T i = h , l = ( 1 r i c 2 ) e i δ i 1 r i c 2 e 2 i δ i ,
R h l = R h + T h 2 R l 1 R h R l , R l h = R l + T l 2 R h 1 R h R l ,
T h l = T l h = T h T l 1 R h R l .
R = R h l + T h l R T l h 1 R R l h .

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