Abstract

In this Letter we present the design of a novel (to our best knowledge) integrated TE isolator realized using ultra-low-loss Si3N4 waveguides. The device is made of two straight waveguides coupled to an array of ring resonators including a Ce:YIG garnet grown on their internal side. The analysis demonstrates advantages in loss, isolation, and passband width as the number of rings is increased.

© 2011 Optical Society of America

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2011 (4)

2010 (2)

2008 (2)

2007 (2)

2006 (2)

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

T. R. Zaman, X. Guo, and R. J. Ram, IEEE Photon. Technol. Lett. 18, 1359 (2006).
[CrossRef]

2005 (1)

2001 (2)

T. Sekijima, H. Itoh, T. Fujii, K. Wakino, and M. Okada, J. Cryst. Growth 229, 409 (2001).
[CrossRef]

T. Uno and S. Noge, J. Eur. Ceram. Soc. 21, 1957 (2001).
[CrossRef]

2000 (1)

J. Fujita, M. Levy, R. M. Osgood, L. Wilkens, and H. Dotsch, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

1998 (1)

T. Shintaku, Appl. Phys. Lett. 73, 1946 (1998).
[CrossRef]

Baets, R.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Barton, J. S.

Bauters, J. F.

Bettotti, P.

Blumenthal, D. J.

Bowers, J.

P. Pintus, M.-C. Tien, and J. Bowers, Photon. Technol. Lett. 23, 1670 (2011).
[CrossRef]

Bowers, J. E.

Capmany, J.

Dagens, B.

W. Śmigaj, J. Romero-Vivas, B. Gralak, L. Magdenko, B. Dagens, and M. Vanwolleghem, Opt. Lett. 35, 568 (2010).
[CrossRef] [PubMed]

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Dai, D.

Decobert, J.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Domenech, J. D.

Dotsch, H.

J. Fujita, M. Levy, R. M. Osgood, L. Wilkens, and H. Dotsch, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

Eich, M.

Fan, S.

Fujii, T.

T. Sekijima, H. Itoh, T. Fujii, K. Wakino, and M. Okada, J. Cryst. Growth 229, 409 (2001).
[CrossRef]

Fujita, J.

J. Fujita, M. Levy, R. M. Osgood, L. Wilkens, and H. Dotsch, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

Gralak, B.

Guider, R.

Guo, X.

T. R. Zaman, X. Guo, and R. J. Ram, J. Lightwave Technol. 26, 291 (2008).
[CrossRef]

T. R. Zaman, X. Guo, and R. J. Ram, IEEE Photon. Technol. Lett. 18, 1359 (2006).
[CrossRef]

Hampe, J.

Heck, M. J. R.

Heideman, R-G.

Itoh, H.

T. Sekijima, H. Itoh, T. Fujii, K. Wakino, and M. Okada, J. Cryst. Growth 229, 409 (2001).
[CrossRef]

Jalas, D.

John, D.

Kakihara, K.

Kono, N.

Koshiba, M.

Krause, M.

Kromer, H.

Lagae, L.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Le Gouezigou, O.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Leinse, A.

Levy, M.

J. Fujita, M. Levy, R. M. Osgood, L. Wilkens, and H. Dotsch, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

Magdenko, L.

Make, D.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Mancinelli, M.

Masi, M.

Mizumoto, T.

Moeyersoon, B.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Muñoz, P.

Muriel, M. A.

Noge, S.

T. Uno and S. Noge, J. Eur. Ceram. Soc. 21, 1957 (2001).
[CrossRef]

Okada, M.

T. Sekijima, H. Itoh, T. Fujii, K. Wakino, and M. Okada, J. Cryst. Growth 229, 409 (2001).
[CrossRef]

Osgood, R. M.

J. Fujita, M. Levy, R. M. Osgood, L. Wilkens, and H. Dotsch, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

Pavesi, L.

Petrov, A.

Pintus, P.

Ram, R. J.

T. R. Zaman, X. Guo, and R. J. Ram, J. Lightwave Technol. 26, 291 (2008).
[CrossRef]

T. R. Zaman, X. Guo, and R. J. Ram, IEEE Photon. Technol. Lett. 18, 1359 (2006).
[CrossRef]

Romero-Vivas, J.

Saitoh, K.

Sekijima, T.

T. Sekijima, H. Itoh, T. Fujii, K. Wakino, and M. Okada, J. Cryst. Growth 229, 409 (2001).
[CrossRef]

Shintaku, T.

T. Shintaku, Appl. Phys. Lett. 73, 1946 (1998).
[CrossRef]

Smigaj, W.

Tien, M.-C.

Uno, T.

T. Uno and S. Noge, J. Eur. Ceram. Soc. 21, 1957 (2001).
[CrossRef]

Van Parys, W.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Van Thourhout, D.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Vanacharla, M. Rao

Vanheertum, R.

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Vanwolleghem, M.

W. Śmigaj, J. Romero-Vivas, B. Gralak, L. Magdenko, B. Dagens, and M. Vanwolleghem, Opt. Lett. 35, 568 (2010).
[CrossRef] [PubMed]

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

Wakino, K.

T. Sekijima, H. Itoh, T. Fujii, K. Wakino, and M. Okada, J. Cryst. Growth 229, 409 (2001).
[CrossRef]

Wang, Z.

Wilkens, L.

J. Fujita, M. Levy, R. M. Osgood, L. Wilkens, and H. Dotsch, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

Yokoi, H.

H. Yokoi, Opt. Mater. 31, 189 (2008).
[CrossRef]

Zaman, T. R.

T. R. Zaman, X. Guo, and R. J. Ram, J. Lightwave Technol. 26, 291 (2008).
[CrossRef]

T. R. Zaman, X. Guo, and R. J. Ram, IEEE Photon. Technol. Lett. 18, 1359 (2006).
[CrossRef]

Appl. Phys. Lett. (3)

J. Fujita, M. Levy, R. M. Osgood, L. Wilkens, and H. Dotsch, Appl. Phys. Lett. 76, 2158 (2000).
[CrossRef]

T. Shintaku, Appl. Phys. Lett. 73, 1946 (1998).
[CrossRef]

W. Van Parys, B. Moeyersoon, D. Van Thourhout, R. Baets, M. Vanwolleghem, B. Dagens, J. Decobert, O. Le Gouezigou, D. Make, R. Vanheertum, and L. Lagae, Appl. Phys. Lett. 88, 071115 (2006).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

T. R. Zaman, X. Guo, and R. J. Ram, IEEE Photon. Technol. Lett. 18, 1359 (2006).
[CrossRef]

J. Cryst. Growth (1)

T. Sekijima, H. Itoh, T. Fujii, K. Wakino, and M. Okada, J. Cryst. Growth 229, 409 (2001).
[CrossRef]

J. Eur. Ceram. Soc. (1)

T. Uno and S. Noge, J. Eur. Ceram. Soc. 21, 1957 (2001).
[CrossRef]

J. Lightwave Technol. (1)

Opt. Express (4)

Opt. Lett. (4)

Opt. Mater. (1)

H. Yokoi, Opt. Mater. 31, 189 (2008).
[CrossRef]

Photon. Technol. Lett. (1)

P. Pintus, M.-C. Tien, and J. Bowers, Photon. Technol. Lett. 23, 1670 (2011).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Top view of the (a) isolator and (b) device cross section. The equivalent waveguide cross section has been highlighted.

Fig. 2
Fig. 2

TE Poynting vector for a 100 nm × 0.9 μm Si 3 N 4 waveguide and four different Ce:YIG layer thicknesses.

Fig. 3
Fig. 3

TE wavelength split (left axis) and field confinement factor in the Ce:YIG layer (right axis) with respect to three Si 3 N 4 waveguide cross sections and several Ce:YIG layer thickness.

Fig. 4
Fig. 4

Input–output transfer function R for α rr = 1 dB / cm .

Tables (1)

Tables Icon

Table 1 Calculated Device Performance

Equations (11)

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K Ce : YIG = ( n 2 0 0 0 n 2 0 0 0 n 2 ) + ( 0 0 j ε x z 0 0 0 j ε x z 0 0 ) .
× ( K 1 × H ̲ ) k 0 2 H ̲ = 0 ,
H ̲ = [ H x ( x , y ) i ̲ x + H y ( x , y ) i ̲ y + j H z ( x , y ) i ̲ z ] e j ω t j β z .
M UC i = 1 R 2 i ( ( R 1 i R 2 i T 1 i T 2 i ) exp ( γ wg L ) T 2 i exp ( γ wg L ) T 1 i exp ( γ wg L ) exp ( γ wg L ) ) ,
M C N = 1 R 2 N ( ( R 1 N R 2 N T 1 N T 2 N ) T 2 N T 1 N 1 ) ,
R 1 i = t 1 i t 2 i * ( | t 1 i | 2 + | c 1 i | 2 ) exp ( 2 π R γ rr ) 1 t 1 i * t 2 i * exp ( 2 π R γ rr ) ,
R 2 i = t 2 i t 1 i * ( | t 2 i | 2 + | c 2 i | 2 ) exp ( 2 π R γ rr ) 1 t 1 i * t 2 i * exp ( 2 π R γ rr ) ,
T 1 i = c 1 i * c 2 i exp ( π R γ rr ) 1 t 1 i * t 2 i * exp ( 2 π R γ rr ) ,
T 2 i = c 2 i * c 1 i exp ( π R γ rr ) 1 t 1 i * t 2 i * exp ( 2 π R γ rr ) ,
( E N + E N ) = M C N M UC ( N 1 ) M UC 1 ( E 1 + E 1 ) = ( M 11 M 12 M 21 M 22 ) ( E 1 + E 1 ) .
R = E 1 E 1 + | E N = 0 = M 21 M 22 .

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