Abstract

We demonstrate a simple lossless method for the implementation of repetition-rate multiplication of a periodic pulse train. As it is showed, a single all-pass optical cavity (APOC) can increase the repetition rate of the output pulse train by factors of 2, 3, and 4. Two different APOC implementations, based on a Gires-Tournois interferometer and an all-pass ring resonator, are proposed and numerically demonstrated.

© 2008 Optical Society of America

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2007 (1)

2006 (1)

B. Xia and L. R. Chen, IEEE Photonics Technol. Lett. 18, 1999 (2006).
[CrossRef]

2003 (2)

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, Electron. Lett. 39, 1138 (2003).
[CrossRef]

1999 (1)

1998 (2)

S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, J. Lightwave Technol. 16, 405 (1998).
[CrossRef]

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari, Electron. Lett. 34, 792 (1998).
[CrossRef]

1990 (1)

Arahira, S.

Avramopoulos, H.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

Azaña, J.

Buck, J. R.

A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing (Prentice-Hall, 1999).

Caraquitena, J.

Chen, L. R.

B. Xia and L. R. Chen, IEEE Photonics Technol. Lett. 18, 1999 (2006).
[CrossRef]

Guekos, G.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

Ishii, M.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, Electron. Lett. 39, 1138 (2003).
[CrossRef]

Jiang, Z.

Kamei, S.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, Electron. Lett. 39, 1138 (2003).
[CrossRef]

Kawanishi, S.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari, Electron. Lett. 34, 792 (1998).
[CrossRef]

Kehayas, E.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

Kunimatsu, D.

Kutsuzawa, S.

Leaird, D. E.

Matsui, Y.

Muriel, M. A.

Ogawa, Y.

Okamoto, K.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, Electron. Lett. 39, 1138 (2003).
[CrossRef]

Oppenheim, A. V.

A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing (Prentice-Hall, 1999).

Pleros, N.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

Saruwatari, M.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari, Electron. Lett. 34, 792 (1998).
[CrossRef]

Schafer, R. W.

A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing (Prentice-Hall, 1999).

Seo, D. S.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, Electron. Lett. 39, 1138 (2003).
[CrossRef]

Shake, I.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari, Electron. Lett. 34, 792 (1998).
[CrossRef]

Sugita, A.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, Electron. Lett. 39, 1138 (2003).
[CrossRef]

Takara, H.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari, Electron. Lett. 34, 792 (1998).
[CrossRef]

Vlachos, K.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

Vyrsokinos, K.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

Weiner, A. M.

Xia, B.

B. Xia and L. R. Chen, IEEE Photonics Technol. Lett. 18, 1999 (2006).
[CrossRef]

Yiannopoulos, K.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

Appl. Opt. (1)

Electron. Lett. (2)

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari, Electron. Lett. 34, 792 (1998).
[CrossRef]

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, Electron. Lett. 39, 1138 (2003).
[CrossRef]

IEEE Photonics Technol. Lett. (2)

B. Xia and L. R. Chen, IEEE Photonics Technol. Lett. 18, 1999 (2006).
[CrossRef]

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, IEEE Photonics Technol. Lett. 15, 1294 (2003).
[CrossRef]

J. Lightwave Technol. (1)

Opt. Lett. (2)

Other (1)

A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing (Prentice-Hall, 1999).

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Figures (3)

Fig. 1
Fig. 1

Architecture of the system. The periodic pulse train is processed by an APOC. Two APOC implementations, based on ring resonator and GTI, are proposed.

Fig. 2
Fig. 2

Figure of merit and gradient function for [(a) and (d)] 2 × multiplication, [(b) and (e)] 3 × multiplication, and [(c) and (f)] 4 × multiplication.

Fig. 3
Fig. 3

Output-pulse-train intensity for (a) 2 × multiplication, (b) 3 × multiplication, and (c) 4 × multiplication, corresponding to the first, second, and third examples, respectively.

Tables (1)

Tables Icon

Table 1 Summary of Parameter Values Obtained for 2 × , 3 × , and 4 × Multiplication of an Input Pulse Train of 100 GHz

Equations (6)

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H ( ω ) = exp ( j 2 tan 1 ( ( 1 + x 1 x ) tan ( ω 2 FSR + ϕ o f f s e t ) ) ) , x = { r GTI ( 1 k ) 1 2 RR ,
A 2 ( ω ) = A 1 ( ω ) H ( ω ) = A 0 ( ω ) ω T m = H ( m ω T ) δ ( ω m ω T ) .
H ( m ω T ) = exp ( j 2 tan 1 ( ( 1 + x 1 x ) tan ( π m N + ϕ o f f s e t ) ) ) .
a 2 ( t ) = n = C n a 0 ( t n T N ) ,
{ C n } = IDFT n { H ( m ω T ) } ,
FM N ( x , ϕ offset ) = n = 0 N 1 ( C n ( x , ϕ offset ) ( 1 N ) 1 2 ) 2 ,

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