Nonlinear Phase Shift

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Steve Blair - One of the best experts on this subject based on the ideXlab platform.

  • engineering the Nonlinear Phase Shift with multistage autoregressive moving average optical filters
    Applied Optics, 2005
    Co-Authors: Yan Chen, Geeta Pasrija, Behrouz Farhangboroujeny, Steve Blair
    Abstract:

    We propose and demonstrate the application of concepts from digital filter design in order to optimize artificial optical resonant structures to produce a nearly ideal Nonlinear Phase Shift response. Multistage autoregressive moving average (ARMA) optical filters (ring-resonator-based Mach–Zehnder interferometer lattices) are designed and studied. The filter group delay is used as a measure instead of finesse or quality factor to study the Nonlinear sensitivity for multiple resonances. The Nonlinearity of a four-stage ARMA filter is 17 times higher than that of the intrinsic material of the same group delay. We demonstrate that the Nonlinear sensitivity can be increased within constant bandwidth by allocating more in-band Phase or by using higher-order filter structures and that the Nonlinear sensitivity enhancement improves with increasing group delay. We also investigate methods to precompensate the Nonlinear response to reduce the occurrence of optical bistabilities. The effect of optical loss, including linear absorption and two-photon absorption, is discussed in postanalysis. In addition, we discuss how the improvement in Nonlinear response scales with respect to various filter parameters.

  • engineering the Nonlinear Phase Shift using multistage autoregressive moving average optical filters
    Proceedings of SPIE, 2004
    Co-Authors: Yan Chen, Geeta Pasrija, Behrouz Farhangboroujeny, Steve Blair
    Abstract:

    In this paper, we propose and demonstrate the application of concepts from digital filter design to optimize artificial optical resonant structures to produce a nearly ideal Nonlinear Phase Shift response. Multi-stage autoregressive moving average (ARMA) optical filters (ring resonator based Mach-Zehnder interferometer lattices) are designed and studied. The filter group delay is used as an alternate measure instead of finesse or quality factor to study the Nonlinear sensitivity for multiple resonances. The Nonlinearity of a 4-stage ARMA filter is 17 times higher than that of the intrinsic material. We demonstrate that the Nonlinear sensitivity can be increased within the same bandwidth by allocating more in-band Phase or using higher-order filter structures and that the Nonlinear enhancement improves with increasing group delay. We also investigate some possible ways to pre-compensate the Nonlinear response to reduce the occurrence of optical bistabilities. The impact of optical loss, including linear absorption and two-photon absorption, and fabrication tolerance are discussed in post-analysis.

  • engineering the Nonlinear Phase Shift
    Optics Letters, 2003
    Co-Authors: Yan Chen, Geeta Pasrija, Behrouz Farhangboroujeny, Steve Blair
    Abstract:

    We treat the Nonlinear Phase Shift response in the weak perturbation limit as a linear digital filter that can be synthesized into the values of its poles and zeros and mapped onto an optical architecture. This procedure results in a significant enhancement in the Nonlinear sensitivity with a response that is robust to frequency changes within the filter passband. A precompensation technique can be used to reduce distortions under strongly driven Nonlinear operation to achieve a larger Phase Shift. We also show that Nonlinear sensitivity improves with increasing filter group delay and can be increased within constant linear bandwidth by use of higher-order filters.

  • Nonlinear Phase Shift of cascaded microring resonators
    Journal of The Optical Society of America B-optical Physics, 2003
    Co-Authors: Yan Chen, Steve Blair
    Abstract:

    We study cascaded microring resonator (CMRR) configurations as general Nonlinear Phase-Shifting elements that exhibit enhanced Nonlinear sensitivity and flattened transmission characteristics. We show that even when the material itself has large two-photon absorption, CMRR devices with five rings facilitate a factor-of-10 enhancement of the optical Nonlinearity when compared with a channel waveguide having the same group delay. In addition, high throughput in intensity can be maintained up to a 3π Phase Shift.

  • engineering the Nonlinear Phase Shift
    Nonlinear Guided Waves and Their Applications (2002) paper NLMD36, 2002
    Co-Authors: Steve Blair, Yan Chen, Benjamin B Yang, Geeta Pasrija
    Abstract:

    Large Nonlinear Phase Shifts can be achieved using cascaded and coupled microresonator systems even if the constituent material has large linear and two-photon absorption. Proper design can maintain nearly constant intensity transmittance.

Kazuhito Tajima - One of the best experts on this subject based on the ideXlab platform.

Shuisheng Jian - One of the best experts on this subject based on the ideXlab platform.

  • impacts of spm xpm on distributed raman amplified multispan systems at identical Nonlinear Phase Shift
    IEEE Photonics Technology Letters, 2004
    Co-Authors: Zhi Tong, Shuisheng Jian
    Abstract:

    The influences of self-Phase modulation (SPM) and cross-Phase modulation (XPM) on Raman amplified multispan systems with periodic dispersion compensation (DC) are numerically investigated at identical Nonlinear Phase Shift. The results show that compared with lumped amplification, distributed amplification tends to enhance the SPM/XPM-induced penalties provided per span complete DC is used. However, these performance differences can be canceled out by means of optimal dispersion managements. Useful guidelines for optimizing the dispersion maps of Raman amplified systems are demonstrated.

  • Impacts of SPM/XPM on distributed Raman amplified multispan systems at identical Nonlinear Phase Shift
    IEEE Photonics Technology Letters, 2004
    Co-Authors: Zhi Tong, Shuisheng Jian
    Abstract:

    The influences of self-Phase modulation (SPM) and cross-Phase modulation (XPM) on Raman amplified multispan systems with periodic dispersion compensation (DC) are numerically investigated at identical Nonlinear Phase Shift. The results show that compared with lumped amplification, distributed amplification tends to enhance the SPM/XPM-induced penalties provided per span complete DC is used. However, these performance differences can be canceled out by means of optimal dispersion managements. Useful guidelines for optimizing the dispersion maps of Raman amplified systems are demonstrated.

Aephraim M Steinberg - One of the best experts on this subject based on the ideXlab platform.

  • observation of the Nonlinear Phase Shift due to single post selected photons
    Nature Physics, 2015
    Co-Authors: Amir Feizpour, Matin Hallaji, Greg Dmochowski, Aephraim M Steinberg
    Abstract:

    Using post-selection and electromagnetically induced transparency in a cold atomic gas it is now possible to generate a strong Nonlinear interaction between two optical beams, bringing Nonlinear optics into the quantum regime. Over the past years, much effort has gone towards generating interactions between two optical beams so strong that they could be observed at the level of individual photons1,2,3. Interactions this strong, beyond opening up a new regime in optics4, could lead to technologies such as all-optical quantum information processing5,6. However, the extreme weakness of photon–photon scattering has hindered any attempt to observe such interactions at the level of single particles. Here we present an implementation of a strong optical Nonlinearity using electromagnetically induced transparency7, and a direct measurement of the resulting Nonlinear Phase Shift for single post-selected photons. We show that the observed Phase Shift depends not only on the incident intensity of the (coherent-state) input signal, but also in a discrete fashion on whether 0 or 1 photons are detected at the output. We believe that this constitutes the first direct measurement of the cross-Phase Shift due to single photons, whose presence or absence is established based on a discrete detection event. It opens a door to future studies of Nonlinear optics in the quantum regime, and potential applications in areas such as quantum information processing.

  • observation of the Nonlinear Phase Shift due to single post selected photons
    Conference on Lasers and Electro-Optics, 2015
    Co-Authors: Amir Feizpour, Matin Hallaji, Greg Dmochowski, Aephraim M Steinberg
    Abstract:

    We implement a strong optical Nonlinearity using electromagnetically-induced transparency in cold atoms, and measure the resulting Nonlinear Phase Shift for postselected photons. We believe that this represents the first direct measurement of the cross-Phase Shift due to individual photons.

Yan Chen - One of the best experts on this subject based on the ideXlab platform.

  • engineering the Nonlinear Phase Shift with multistage autoregressive moving average optical filters
    Applied Optics, 2005
    Co-Authors: Yan Chen, Geeta Pasrija, Behrouz Farhangboroujeny, Steve Blair
    Abstract:

    We propose and demonstrate the application of concepts from digital filter design in order to optimize artificial optical resonant structures to produce a nearly ideal Nonlinear Phase Shift response. Multistage autoregressive moving average (ARMA) optical filters (ring-resonator-based Mach–Zehnder interferometer lattices) are designed and studied. The filter group delay is used as a measure instead of finesse or quality factor to study the Nonlinear sensitivity for multiple resonances. The Nonlinearity of a four-stage ARMA filter is 17 times higher than that of the intrinsic material of the same group delay. We demonstrate that the Nonlinear sensitivity can be increased within constant bandwidth by allocating more in-band Phase or by using higher-order filter structures and that the Nonlinear sensitivity enhancement improves with increasing group delay. We also investigate methods to precompensate the Nonlinear response to reduce the occurrence of optical bistabilities. The effect of optical loss, including linear absorption and two-photon absorption, is discussed in postanalysis. In addition, we discuss how the improvement in Nonlinear response scales with respect to various filter parameters.

  • engineering the Nonlinear Phase Shift using multistage autoregressive moving average optical filters
    Proceedings of SPIE, 2004
    Co-Authors: Yan Chen, Geeta Pasrija, Behrouz Farhangboroujeny, Steve Blair
    Abstract:

    In this paper, we propose and demonstrate the application of concepts from digital filter design to optimize artificial optical resonant structures to produce a nearly ideal Nonlinear Phase Shift response. Multi-stage autoregressive moving average (ARMA) optical filters (ring resonator based Mach-Zehnder interferometer lattices) are designed and studied. The filter group delay is used as an alternate measure instead of finesse or quality factor to study the Nonlinear sensitivity for multiple resonances. The Nonlinearity of a 4-stage ARMA filter is 17 times higher than that of the intrinsic material. We demonstrate that the Nonlinear sensitivity can be increased within the same bandwidth by allocating more in-band Phase or using higher-order filter structures and that the Nonlinear enhancement improves with increasing group delay. We also investigate some possible ways to pre-compensate the Nonlinear response to reduce the occurrence of optical bistabilities. The impact of optical loss, including linear absorption and two-photon absorption, and fabrication tolerance are discussed in post-analysis.

  • engineering the Nonlinear Phase Shift
    Optics Letters, 2003
    Co-Authors: Yan Chen, Geeta Pasrija, Behrouz Farhangboroujeny, Steve Blair
    Abstract:

    We treat the Nonlinear Phase Shift response in the weak perturbation limit as a linear digital filter that can be synthesized into the values of its poles and zeros and mapped onto an optical architecture. This procedure results in a significant enhancement in the Nonlinear sensitivity with a response that is robust to frequency changes within the filter passband. A precompensation technique can be used to reduce distortions under strongly driven Nonlinear operation to achieve a larger Phase Shift. We also show that Nonlinear sensitivity improves with increasing filter group delay and can be increased within constant linear bandwidth by use of higher-order filters.

  • Nonlinear Phase Shift of cascaded microring resonators
    Journal of The Optical Society of America B-optical Physics, 2003
    Co-Authors: Yan Chen, Steve Blair
    Abstract:

    We study cascaded microring resonator (CMRR) configurations as general Nonlinear Phase-Shifting elements that exhibit enhanced Nonlinear sensitivity and flattened transmission characteristics. We show that even when the material itself has large two-photon absorption, CMRR devices with five rings facilitate a factor-of-10 enhancement of the optical Nonlinearity when compared with a channel waveguide having the same group delay. In addition, high throughput in intensity can be maintained up to a 3π Phase Shift.

  • engineering the Nonlinear Phase Shift
    Nonlinear Guided Waves and Their Applications (2002) paper NLMD36, 2002
    Co-Authors: Steve Blair, Yan Chen, Benjamin B Yang, Geeta Pasrija
    Abstract:

    Large Nonlinear Phase Shifts can be achieved using cascaded and coupled microresonator systems even if the constituent material has large linear and two-photon absorption. Proper design can maintain nearly constant intensity transmittance.