Abstract

In this Letter, we suggest an on-chip integrated isolator based on an add–drop filter with unidirectional Raman-induced gain (or loss). For the steady state, complete one-way propagation for monochromatic signals is realized in the bus waveguide. For transient transmission, the burr is suppressed. And the power consumption is reduced by enhancing the Q factor of the resonator at the control frequency.

© 2012 Optical Society of America

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References

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  1. M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
    [CrossRef]
  2. S. M. Drezdzon and T. Yoshie, Opt. Express 17, 9276 (2009).
    [CrossRef]
  3. Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 23902 (2008).
    [CrossRef]
  4. L. Tang, S. M. Drezdzon, and T. Yoshie, Opt. Express 16, 16202 (2008).
    [CrossRef]
  5. H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A 82, 043803 (2010).
    [CrossRef]
  6. Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
    [CrossRef]
  7. X. Huang and S. Fan, J. Lightwave Technol. 29, 2267 (2011).
  8. M. S. Kang, A. Butsch, and P. St. J. Russell, Nat. Photon. 5, 549 (2011).
    [CrossRef]
  9. M. Krause, H. Renner, and E. Brinkmeyer, Electron. Lett. 44, 691 (2008).
    [CrossRef]
  10. Y. H. Wen, O. Kuzucu, T. Hou, M. Lipson, and A. L. Gaeta, Opt. Lett. 36, 1413 (2011).
    [CrossRef]
  11. B. C. Jacobs and J. D. Franson, Phys. Rev. A 79, 063830 (2009).
    [CrossRef]
  12. R. W. Boyd, Nonlinear Optics (Academic, 2003).
  13. M. Cardona, in Topics in Applied Physics V. 50: Light Scattering in Solids II, M. Cardona and G. Guntherodt, eds. (Springer-Verlag, 1982), pp. 19–98.
  14. T. Saito, K. Suto, J. Nishizawa, and M. Kawasaki, J. Appl. Phys. 90, 1831 (2001).
    [CrossRef]
  15. R. Loudon, Adv. Phys. 50, 813 (2001).
    [CrossRef]
  16. Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
    [CrossRef]
  17. H. Sang, M. Li, X. Yu, and J. Zhou, Chin. Opt. Lett. 4, 536 (2006).
  18. J. Muller, M. Krause, H. Renner, and E. Brinkmeyer, Opt. Express 18, 19532 (2010).
    [CrossRef]

2011 (4)

M. S. Kang, A. Butsch, and P. St. J. Russell, Nat. Photon. 5, 549 (2011).
[CrossRef]

Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
[CrossRef]

Y. H. Wen, O. Kuzucu, T. Hou, M. Lipson, and A. L. Gaeta, Opt. Lett. 36, 1413 (2011).
[CrossRef]

X. Huang and S. Fan, J. Lightwave Technol. 29, 2267 (2011).

2010 (2)

J. Muller, M. Krause, H. Renner, and E. Brinkmeyer, Opt. Express 18, 19532 (2010).
[CrossRef]

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A 82, 043803 (2010).
[CrossRef]

2009 (3)

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

B. C. Jacobs and J. D. Franson, Phys. Rev. A 79, 063830 (2009).
[CrossRef]

S. M. Drezdzon and T. Yoshie, Opt. Express 17, 9276 (2009).
[CrossRef]

2008 (3)

L. Tang, S. M. Drezdzon, and T. Yoshie, Opt. Express 16, 16202 (2008).
[CrossRef]

M. Krause, H. Renner, and E. Brinkmeyer, Electron. Lett. 44, 691 (2008).
[CrossRef]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 23902 (2008).
[CrossRef]

2006 (1)

2001 (2)

T. Saito, K. Suto, J. Nishizawa, and M. Kawasaki, J. Appl. Phys. 90, 1831 (2001).
[CrossRef]

R. Loudon, Adv. Phys. 50, 813 (2001).
[CrossRef]

1996 (1)

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, 2003).

Brinkmeyer, E.

J. Muller, M. Krause, H. Renner, and E. Brinkmeyer, Opt. Express 18, 19532 (2010).
[CrossRef]

M. Krause, H. Renner, and E. Brinkmeyer, Electron. Lett. 44, 691 (2008).
[CrossRef]

Butsch, A.

M. S. Kang, A. Butsch, and P. St. J. Russell, Nat. Photon. 5, 549 (2011).
[CrossRef]

Cadieu, F. J.

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Cardona, M.

M. Cardona, in Topics in Applied Physics V. 50: Light Scattering in Solids II, M. Cardona and G. Guntherodt, eds. (Springer-Verlag, 1982), pp. 19–98.

Christodoulides, D. N.

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A 82, 043803 (2010).
[CrossRef]

Drezdzon, S. M.

El-Ganainy, R.

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A 82, 043803 (2010).
[CrossRef]

Fan, S.

X. Huang and S. Fan, J. Lightwave Technol. 29, 2267 (2011).

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 23902 (2008).
[CrossRef]

Franson, J. D.

B. C. Jacobs and J. D. Franson, Phys. Rev. A 79, 063830 (2009).
[CrossRef]

Fratello, V. J.

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Gaeta, A. L.

Hegde, H.

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Hou, T.

Huang, X.

J, J.-R.

Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
[CrossRef]

Jacobs, B. C.

B. C. Jacobs and J. D. Franson, Phys. Rev. A 79, 063830 (2009).
[CrossRef]

Kang, M. S.

M. S. Kang, A. Butsch, and P. St. J. Russell, Nat. Photon. 5, 549 (2011).
[CrossRef]

Kawasaki, M.

T. Saito, K. Suto, J. Nishizawa, and M. Kawasaki, J. Appl. Phys. 90, 1831 (2001).
[CrossRef]

Kottos, T.

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A 82, 043803 (2010).
[CrossRef]

Krause, M.

J. Muller, M. Krause, H. Renner, and E. Brinkmeyer, Opt. Express 18, 19532 (2010).
[CrossRef]

M. Krause, H. Renner, and E. Brinkmeyer, Electron. Lett. 44, 691 (2008).
[CrossRef]

Kuzucu, O.

Levy, M.

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Li, M.

Lipson, M.

Loudon, R.

R. Loudon, Adv. Phys. 50, 813 (2001).
[CrossRef]

Luo, Z.

Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
[CrossRef]

Muller, J.

Nishizawa, J.

T. Saito, K. Suto, J. Nishizawa, and M. Kawasaki, J. Appl. Phys. 90, 1831 (2001).
[CrossRef]

Osgood, R. M.

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Ramezani, H.

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A 82, 043803 (2010).
[CrossRef]

Renner, H.

J. Muller, M. Krause, H. Renner, and E. Brinkmeyer, Opt. Express 18, 19532 (2010).
[CrossRef]

M. Krause, H. Renner, and E. Brinkmeyer, Electron. Lett. 44, 691 (2008).
[CrossRef]

Saito, T.

T. Saito, K. Suto, J. Nishizawa, and M. Kawasaki, J. Appl. Phys. 90, 1831 (2001).
[CrossRef]

Sang, H.

St. J. Russell, P.

M. S. Kang, A. Butsch, and P. St. J. Russell, Nat. Photon. 5, 549 (2011).
[CrossRef]

Suto, K.

T. Saito, K. Suto, J. Nishizawa, and M. Kawasaki, J. Appl. Phys. 90, 1831 (2001).
[CrossRef]

Tang, L.

Veronis, G.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 23902 (2008).
[CrossRef]

Wang, Z.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 23902 (2008).
[CrossRef]

Wen, Y. H.

Wolfe, R.

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Ye, W.-M.

Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
[CrossRef]

Yoshie, T.

Yu, X.

Yu, Z.

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 23902 (2008).
[CrossRef]

Yuan, X.-D.

Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
[CrossRef]

Zeng, C.

Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
[CrossRef]

Zhou, J.

Adv. Phys. (1)

R. Loudon, Adv. Phys. 50, 813 (2001).
[CrossRef]

Chin. Opt. Lett. (1)

Chin. Phys. B (1)

Z. Luo, X.-D. Yuan, W.-M. Ye, C. Zeng, and J.-R. J, Chin. Phys. B 20, 024205 (2011).
[CrossRef]

Electron. Lett. (1)

M. Krause, H. Renner, and E. Brinkmeyer, Electron. Lett. 44, 691 (2008).
[CrossRef]

J. Appl. Phys. (1)

T. Saito, K. Suto, J. Nishizawa, and M. Kawasaki, J. Appl. Phys. 90, 1831 (2001).
[CrossRef]

J. Lightwave Technol. (1)

Nat. Photon. (2)

Z. Yu and S. Fan, Nat. Photon. 3, 91 (2009).
[CrossRef]

M. S. Kang, A. Butsch, and P. St. J. Russell, Nat. Photon. 5, 549 (2011).
[CrossRef]

Opt. Express (3)

Opt. Lett. (1)

Photon. Technol. Lett. (1)

M. Levy, R. M. Osgood, H. Hegde, F. J. Cadieu, R. Wolfe, and V. J. Fratello, Photon. Technol. Lett. 8, 903 (1996).
[CrossRef]

Phys. Rev. A (2)

B. C. Jacobs and J. D. Franson, Phys. Rev. A 79, 063830 (2009).
[CrossRef]

H. Ramezani, T. Kottos, R. El-Ganainy, and D. N. Christodoulides, Phys. Rev. A 82, 043803 (2010).
[CrossRef]

Phys. Rev. Lett. (1)

Z. Yu, G. Veronis, Z. Wang, and S. Fan, Phys. Rev. Lett. 100, 23902 (2008).
[CrossRef]

Other (2)

R. W. Boyd, Nonlinear Optics (Academic, 2003).

M. Cardona, in Topics in Applied Physics V. 50: Light Scattering in Solids II, M. Cardona and G. Guntherodt, eds. (Springer-Verlag, 1982), pp. 19–98.

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Figures (3)

Fig. 1.
Fig. 1.

Layout of the isolator based on a resonator add–drop filter.

Fig. 2.
Fig. 2.

Ttrp with variable κ1 and ΔG in a lossless resonator (left) and a resonator with 1dB circumferential loss (right). It is under the condition that the transmission from A to B keeps zero. The nonlinear loss of the cavity and the loss of the bus waveguide are neglected.

Fig. 3.
Fig. 3.

Oscillograms of the lossy isolators with different parameters. The resonators are with 1dB circumferential loss, and the other parameters are listed in Table 1.

Tables (1)

Tables Icon

Table 1. Parameters of Different Isolators

Equations (9)

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

(Eb,t+τ1EB,t+τ1)=(1κ1iκ1iκ11κ1)(Ea,tEA,t)eG1/2eiβ1l1,Ec,t+τ1+τR=Eb,t+τ1eGR/2eiβ0lR,(Ed,t+τ1+τR+τ2ED,t+τ1+τR+τ2)=(1κ2iκ2iκ21κ2)(Ec,t+τ1+τR0)eG2/2eiβ2l2,Ea,t+τ1+τR+τ2+τL=Ed,t+τ1+τR+τ2eGL/2eiβ0lL,
T=|EBEA|2=(1κ21κ1eG/21κ11κ2eG/2)2eG1,
ΔφR+iΔGR=ηγgRIc(l1+l2)/[ΩLO±(ωωc+iγ)],
GCW=αl2βIcl2+GRCGL
GCCW=αl2βIcl2+GRC±ηgRIc(l1+l2)GL+ΔG
ΔG=ln(1κ1)ln(1κ2)GL,
Ttrp=TBA(1κ21κ1eGL/21κ11κ2eGL/2)2eαl1.
TAB(κ1=1)=TBA(κ1=1)eΔG,
TBA(κ1=1)=(1κ2)exp(GLαl1).

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