Abstract

A cascaded all-optical buffer with large dynamic delay based on polarization rotation of a gain-transparent semiconductor optical amplifier is proposed and demonstrated. The analysis and experimental results indicate that the pulse distortion and pattern effect can be fully improved, and the amplified spontaneous emission noise accumulation can be inhibited effectively as well; the data packets are stored for six round-trips in buffering units 1 and 2, respectively, corresponding to a delay time as long as 33 μs. The proposed buffering scheme can be regarded as an effective reference to the study work of all-optical buffer.

© 2014 Optical Society of America

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  1. Y. J. Wang, C. Q. Wu, Z. Wang, and X. J. Xin, “A new large variable delay optical buffer based on cascaded double loop optical buffers (DLOBs),” in Optical Fiber Communication Conference, San Diego, California (2009), paper OFC.2009.OWA4.
  2. Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
    [CrossRef]
  3. C. Y. Tian, C. Q. Wu, Z. Y. Li, and N. Guo, “Dual-wavelength packets buffering in dual-loop optical buffer,” IEEE Photon. Technol. Lett. 20, 578–580 (2008).
    [CrossRef]
  4. C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
    [CrossRef]
  5. M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
    [CrossRef]
  6. Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
    [CrossRef]
  7. J. P. Turkiewicz, G. D. Khoe, and H. de Waardt, “All-optical 1310 to 1550 nm wavelength conversion by utilising nonlinear polarisation rotation in semiconductor optical amplifier,” Electron. Lett. 41, 29–30 (2005).
    [CrossRef]
  8. W. Hong, D. X. Hong, X. L. Zhang, and G. X. Zhu, “Simulation and analysis of OOK-to-BPSK format conversion based on gain-transparent SOA used as optical phase-modulator,” Opt. Express 15, 18358–18369 (2007).
  9. K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
    [CrossRef]
  10. Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
    [CrossRef]
  11. X. Z. Sheng, Z. Feng, and B. Li, “Experimental investigation of all-optical packet-level time slot assignment using two optical buffers cascaded,” Appl. Opt. 52, 2917–2922 (2013).
    [CrossRef]

2013

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

X. Z. Sheng, Z. Feng, and B. Li, “Experimental investigation of all-optical packet-level time slot assignment using two optical buffers cascaded,” Appl. Opt. 52, 2917–2922 (2013).
[CrossRef]

2010

Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
[CrossRef]

2009

C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
[CrossRef]

M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
[CrossRef]

2008

C. Y. Tian, C. Q. Wu, Z. Y. Li, and N. Guo, “Dual-wavelength packets buffering in dual-loop optical buffer,” IEEE Photon. Technol. Lett. 20, 578–580 (2008).
[CrossRef]

2007

W. Hong, D. X. Hong, X. L. Zhang, and G. X. Zhu, “Simulation and analysis of OOK-to-BPSK format conversion based on gain-transparent SOA used as optical phase-modulator,” Opt. Express 15, 18358–18369 (2007).

2005

J. P. Turkiewicz, G. D. Khoe, and H. de Waardt, “All-optical 1310 to 1550 nm wavelength conversion by utilising nonlinear polarisation rotation in semiconductor optical amplifier,” Electron. Lett. 41, 29–30 (2005).
[CrossRef]

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

2004

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Calabretta, N.

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Cheng, M.

M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
[CrossRef]

de Waardt, H.

J. P. Turkiewicz, G. D. Khoe, and H. de Waardt, “All-optical 1310 to 1550 nm wavelength conversion by utilising nonlinear polarisation rotation in semiconductor optical amplifier,” Electron. Lett. 41, 29–30 (2005).
[CrossRef]

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Dorren, H. J. S.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Feng, Z.

Geldenhuys, R.

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Guo, N.

C. Y. Tian, C. Q. Wu, Z. Y. Li, and N. Guo, “Dual-wavelength packets buffering in dual-loop optical buffer,” IEEE Photon. Technol. Lett. 20, 578–580 (2008).
[CrossRef]

Hill, M. T.

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Hiltunen, J.

M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
[CrossRef]

Hong, D. X.

W. Hong, D. X. Hong, X. L. Zhang, and G. X. Zhu, “Simulation and analysis of OOK-to-BPSK format conversion based on gain-transparent SOA used as optical phase-modulator,” Opt. Express 15, 18358–18369 (2007).

Hong, W.

W. Hong, D. X. Hong, X. L. Zhang, and G. X. Zhu, “Simulation and analysis of OOK-to-BPSK format conversion based on gain-transparent SOA used as optical phase-modulator,” Opt. Express 15, 18358–18369 (2007).

Ju, H.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

Khoe, G. D.

J. P. Turkiewicz, G. D. Khoe, and H. de Waardt, “All-optical 1310 to 1550 nm wavelength conversion by utilising nonlinear polarisation rotation in semiconductor optical amplifier,” Electron. Lett. 41, 29–30 (2005).
[CrossRef]

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Khoe, G.-D.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

Lenstra, D.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

Li, B.

Li, Z.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

Li, Z. Y.

C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
[CrossRef]

C. Y. Tian, C. Q. Wu, Z. Y. Li, and N. Guo, “Dual-wavelength packets buffering in dual-loop optical buffer,” IEEE Photon. Technol. Lett. 20, 578–580 (2008).
[CrossRef]

Liu, Y.

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

Sang, X. Z.

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

Sheng, X. Z.

Sun, G.

C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
[CrossRef]

Tangdiongga, E.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

Tian, C. Y.

C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
[CrossRef]

C. Y. Tian, C. Q. Wu, Z. Y. Li, and N. Guo, “Dual-wavelength packets buffering in dual-loop optical buffer,” IEEE Photon. Technol. Lett. 20, 578–580 (2008).
[CrossRef]

Turkiewicz, J. P.

J. P. Turkiewicz, G. D. Khoe, and H. de Waardt, “All-optical 1310 to 1550 nm wavelength conversion by utilising nonlinear polarisation rotation in semiconductor optical amplifier,” Electron. Lett. 41, 29–30 (2005).
[CrossRef]

Wang, K. R.

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

Wang, Q.

M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
[CrossRef]

Wang, Y. J.

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
[CrossRef]

C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
[CrossRef]

Y. J. Wang, C. Q. Wu, Z. Wang, and X. J. Xin, “A new large variable delay optical buffer based on cascaded double loop optical buffers (DLOBs),” in Optical Fiber Communication Conference, San Diego, California (2009), paper OFC.2009.OWA4.

Wang, Y. P.

M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
[CrossRef]

Wang, Z.

Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
[CrossRef]

Y. J. Wang, C. Q. Wu, Z. Wang, and X. J. Xin, “A new large variable delay optical buffer based on cascaded double loop optical buffers (DLOBs),” in Optical Fiber Communication Conference, San Diego, California (2009), paper OFC.2009.OWA4.

Wu, C. Q.

Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
[CrossRef]

M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
[CrossRef]

C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
[CrossRef]

C. Y. Tian, C. Q. Wu, Z. Y. Li, and N. Guo, “Dual-wavelength packets buffering in dual-loop optical buffer,” IEEE Photon. Technol. Lett. 20, 578–580 (2008).
[CrossRef]

Y. J. Wang, C. Q. Wu, Z. Wang, and X. J. Xin, “A new large variable delay optical buffer based on cascaded double loop optical buffers (DLOBs),” in Optical Fiber Communication Conference, San Diego, California (2009), paper OFC.2009.OWA4.

Xin, X. J.

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

Y. J. Wang, C. Q. Wu, Z. Wang, and X. J. Xin, “A new large variable delay optical buffer based on cascaded double loop optical buffers (DLOBs),” in Optical Fiber Communication Conference, San Diego, California (2009), paper OFC.2009.OWA4.

Yan, B. B.

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

Yang, X.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

Yu, K. L.

Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
[CrossRef]

Zhang, X. L.

Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
[CrossRef]

W. Hong, D. X. Hong, X. L. Zhang, and G. X. Zhu, “Simulation and analysis of OOK-to-BPSK format conversion based on gain-transparent SOA used as optical phase-modulator,” Opt. Express 15, 18358–18369 (2007).

Zhu, G. X.

W. Hong, D. X. Hong, X. L. Zhang, and G. X. Zhu, “Simulation and analysis of OOK-to-BPSK format conversion based on gain-transparent SOA used as optical phase-modulator,” Opt. Express 15, 18358–18369 (2007).

Zhu, K.

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

Appl. Opt.

Chin. Phys. B

Y. J. Wang, C. Q. Wu, Z. Wang, K. L. Yu, and X. L. Zhang, “Investigation on performance of all optical buffer with large dynamical delay time based on cascaded DLOBs,” Chin. Phys. B 19, 094210 (2010).
[CrossRef]

Electron. Lett.

C. Y. Tian, C. Q. Wu, G. Sun, Z. Y. Li, and Y. J. Wang, “Multichannel data packets buffered in dual loop optical buffer,” Electron. Lett. 45, 640–642 (2009).
[CrossRef]

J. P. Turkiewicz, G. D. Khoe, and H. de Waardt, “All-optical 1310 to 1550 nm wavelength conversion by utilising nonlinear polarisation rotation in semiconductor optical amplifier,” Electron. Lett. 41, 29–30 (2005).
[CrossRef]

IEEE J. Quantum Electron.

Z. Li, X. Yang, E. Tangdiongga, H. Ju, G.-D. Khoe, H. J. S. Dorren, and D. Lenstra, “Simulation of mode-locking by nonlinear polarization rotation in a semiconductor optical amplifier,” IEEE J. Quantum Electron. 41, 808–816 (2005).
[CrossRef]

IEEE Photon. Technol. Lett.

M. Cheng, C. Q. Wu, J. Hiltunen, Y. P. Wang, and Q. Wang, “A variable delay optical buffer based on nonlinear polarization rotation in semiconductor optical amplifier,” IEEE Photon. Technol. Lett. 21, 1885–1887 (2009).
[CrossRef]

Y. Liu, M. T. Hill, R. Geldenhuys, N. Calabretta, H. de Waardt, G. D. Khoe, and H. J. S. Dorren, “Demonstration of a variable optical delay for a re-circulating buffer by using all-optical signal processing,” IEEE Photon. Technol. Lett. 16, 1748–1750 (2004).
[CrossRef]

C. Y. Tian, C. Q. Wu, Z. Y. Li, and N. Guo, “Dual-wavelength packets buffering in dual-loop optical buffer,” IEEE Photon. Technol. Lett. 20, 578–580 (2008).
[CrossRef]

Opt. Express

W. Hong, D. X. Hong, X. L. Zhang, and G. X. Zhu, “Simulation and analysis of OOK-to-BPSK format conversion based on gain-transparent SOA used as optical phase-modulator,” Opt. Express 15, 18358–18369 (2007).

Optik

K. R. Wang, K. Zhu, Y. J. Wang, B. B. Yan, X. Z. Sang, and X. J. Xin, “OOK-to-QPSK modulation-format conversion based on the cascaded gain-transparent SOA,” Optik 124, 4486–4489 (2013).
[CrossRef]

Other

Y. J. Wang, C. Q. Wu, Z. Wang, and X. J. Xin, “A new large variable delay optical buffer based on cascaded double loop optical buffers (DLOBs),” in Optical Fiber Communication Conference, San Diego, California (2009), paper OFC.2009.OWA4.

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Figures (8)

Fig. 1.
Fig. 1.

Basic structure of the all-optical buffer.

Fig. 2.
Fig. 2.

Reference coordinate system of GT-SOA.

Fig. 3.
Fig. 3.

GT-SOA testing system.

Fig. 4.
Fig. 4.

Gain curves of the signal lights’ relationships with (a) signal lights’ power, (b) control light power, and (c) bias current in the SOA.

Fig. 5.
Fig. 5.

Testing results of the polarization rotation switch: (a) input packets, (b) output packets from the H port with the control pulse’s absence, and (c) output packet with the control pulse’s presence.

Fig. 6.
Fig. 6.

Experimental system.

Fig. 7.
Fig. 7.

Output waveforms of the optical buffer and details.

Fig. 8.
Fig. 8.

BER curves and eye-diagrams.

Equations (8)

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

12[11].
12[gTEejϕ01TEgTMejϕ01TM]=ejϕ01TE2[gTEgTMejΔϕ1],
ejϕ0[AB],
U=[(αPCTE+αPCTM)ejϕPCTE(αPCTEαPCTM)ejϕPCTM(αPCTEαPCTM)ejϕPCTE(αPCTE+αPCTM)ejϕPCTM]2((αPCTE)2+(αPCTM)2),
U12[gejϕ01TEgejϕ01TM]=ejϕ0[AB].
ejϕ02TE2[ggejΔϕ1].
ejϕ2[BA].
ejϕ01TE2[ggejΔϕ1].

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