Abstract

For a four-port microracetrack channel drop filter, unexpected transmission characteristics due to strong dispersive coupling are demonstrated by the light tunneling between the input–output waveguides and the resonator, where a large dropping transmission at off-resonance wavelengths is observed by finite-difference time-domain simulation. It causes a severe decline of the extinction ratio and finesse. An appropriate decrease of the coupling strength is found to suppress the dispersive coupling and greately increase the extinction ratio and finesse, a decreased coupling strength can be realized by the application of an asymmetrical coupling waveguide structure. In addition, the profile of the coupling dispersion in the transmission spectra can be predicted based on a coupled mode theory analysis of an equivalent system consisting of two coupling straight waveguides. The effects of structure parameters on the transmission spectra obtained by this method agree well with the numerical results. It is useful to avoid the strong dispersive coupling region in the filter design.

© 2007 Optical Society of America

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References

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  1. B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
    [CrossRef]
  2. B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
    [CrossRef]
  3. S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
    [CrossRef]
  4. J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
    [CrossRef]
  5. R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
    [CrossRef]
  6. M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
    [CrossRef]
  7. R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
    [CrossRef]
  8. Q. Chen, Y. D. Yang, and Y. Z. Huang, Appl. Phys. Lett. 89, 061118 (2006).
    [CrossRef]
  9. A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
    [CrossRef]

2006 (1)

Q. Chen, Y. D. Yang, and Y. Z. Huang, Appl. Phys. Lett. 89, 061118 (2006).
[CrossRef]

2003 (1)

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

2002 (1)

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

2000 (1)

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
[CrossRef]

1999 (2)

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

1998 (1)

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

1997 (1)

B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

1988 (1)

A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
[CrossRef]

Absil, P. P.

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
[CrossRef]

Amarnath, K.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

Ankiewicz, A.

A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
[CrossRef]

Calhoun, L. C.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

Chen, Q.

Q. Chen, Y. D. Yang, and Y. Z. Huang, Appl. Phys. Lett. 89, 061118 (2006).
[CrossRef]

Chin, M. K.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Chu, S. T.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Ding, T. N.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

Foresi, J. S.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Greene, W.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Grover, R.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

Haus, H. A.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Ho, P. T.

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
[CrossRef]

Ho, P.-T.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

Ho, S. T.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Hryniewicz, J. V.

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
[CrossRef]

Huang, Y. Z.

Q. Chen, Y. D. Yang, and Y. Z. Huang, Appl. Phys. Lett. 89, 061118 (2006).
[CrossRef]

Ibrahim, T. A.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

Ippen, E. P.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Johnson, F. G.

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

Kanakaraju, S.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

Kaneko, T.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

Kimerling, L. C.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Kokubun, Y.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

Kuo, L.-C.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

Laine, J. P.

B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Leng, Y.

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

Little, B. E.

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Pan, W.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

Pierson, T.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Ren, Z.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Sato, S.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

Snyder, A. W.

A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
[CrossRef]

Steinmeyer, G.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Thoen, E. R.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Van, V.

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

Wang, L.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Wilson, R. A.

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
[CrossRef]

Wu, S. L.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Yang, Y. D.

Q. Chen, Y. D. Yang, and Y. Z. Huang, Appl. Phys. Lett. 89, 061118 (2006).
[CrossRef]

Youtsey, C.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Zhao, W.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Zhao, Y. G.

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

Appl. Phys. Lett. (1)

Q. Chen, Y. D. Yang, and Y. Z. Huang, Appl. Phys. Lett. 89, 061118 (2006).
[CrossRef]

IEEE Photon. Technol. Lett. (5)

M. K. Chin, C. Youtsey, W. Zhao, T. Pierson, Z. Ren, S. L. Wu, L. Wang, Y. G. Zhao, and S. T. Ho, IEEE Photon. Technol. Lett. 11, 1620 (1999).
[CrossRef]

R. Grover, T. A. Ibrahim, T. N. Ding, Y. Leng, L.-C. Kuo, S. Kanakaraju, K. Amarnath, L. C. Calhoun, and P.-T. Ho, IEEE Photon. Technol. Lett. 15, 1082 (2003).
[CrossRef]

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P. T. Ho, IEEE Photon. Technol. Lett. 12, 320 (2000).
[CrossRef]

J. Lightwave Technol. (3)

R. Grover, V. Van, T. A. Ibrahim, P. P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P. T. Ho, J. Lightwave Technol. 20, 900 (2002).
[CrossRef]

A. W. Snyder and A. Ankiewicz, J. Lightwave Technol. 6, 463 (1988).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. S. Foresi, and J. P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Schematic of a racetrack channel drop filter with the corresponding parameters labeled.

Fig. 2
Fig. 2

Transmission spectra (dashed curves) at the through port in a racetrack filter with n = 3.2 , W r = 0.20 μ m , R = 2.0 μ m , L = 3.5 μ m , g = 0.20 μ m , and (a) W g = 0.20 μ m , (b) W g = 0.24 μ m . The solid curves are one-cycle transmission spectra.

Fig. 3
Fig. 3

Field distributions in the racetrack filter at the time 2 × 10 4 Δ t in the FDTD simulation with a single-frequency exciting source at the wavelength of a, 1.5528; b, 1.5688; c, 1.5825; d, 1.6025 μ m , corresponding to the labels in Fig. 2.

Fig. 4
Fig. 4

Solid curves, one-cycle transmission spectra at the through port by the FDTD method. The scatters are results of two coupled straight waveguides, by CMT. (a) L = 1.5 , 3.5 , 5.5 , 7 μ m in the FDTD simulation, effective coupling length L = 4.8 μ m in CMT. (b) g = 0.2 , 0.22 , 0.24 , 0.26 μ m ; the corresponding L is 4.8, 4.7, 4.6, 4.6 μ m . (c) W g = W r = 0.18 , 0.20 , 0.22 , 0.24 μ m ; the corresponding L is 4.8, 4.8, 4.8, 4.7 μ m . (d) W g = 0.18 , 0.20 , 0.22 , 0.24 μ m ; the corresponding L is 4.8 μ m , and the W g values used in CMT are 0.185, 0.200, 0.226, 0.246 μ m . The other parameters are the same as in Fig. 2a.

Equations (5)

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

C 1 ( x , z ) = [ α 1 A 0 ( x ) + B 0 ( x ) ] e j β 1 z ,
C 2 ( x , z ) = [ α 2 A 0 ( x ) γ B 0 ( x ) ] e j β 2 z ,
A ( x , z ) = α 1 A 0 ( x ) e j β 1 z + α 2 A 0 ( x ) e j β 2 z ,
B ( x , z ) = B 0 ( x ) e j β 1 z γ B 0 ( x ) e j β 2 z .
T = A ( x , L ) 2 A ( x , 0 ) 2 = α 1 e j β 1 L + α 2 e j β 2 L 2 α 1 + α 2 2 ,

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