We report an analysis of the problems encountered in the design of modern high-bit-rate coherent communication links. A phenomenological communication link model is described, which is suitable for solving applied tasks of the network design with nonlinear effects taken into account. We propose an engineering approach to the design that is based on the use of fundamental nonlinearity coefficients calculated in advance for the experimental configurations of communication links. An experimental method is presented for calculating the nonlinearity coefficient of communication links. It is shown that the proposed approach allows one to successfully meet the challenges in designing communication networks.We report an analysis of the problems encountered in the design of modern high-bit-rate coherent communication links. A phenomenological communication link model is described, which is suitable for solving applied tasks of the network design with nonlinear effects taken into account. We propose an engineering approach to the design that is based on the use of fundamental nonlinearity coefficients calculated in advance for the experimental configurations of communication links. An experimental method is presented for calculating the nonlinearity coefficient of communication links. It is shown that the proposed approach allows one to successfully meet the challenges in designing communication networks.

Quantum ElectronicsDec 7, 201612 citations

Frequency-Matched Optical Switching in Slow Nonlinear Media: A Spatiotemporal Design Framework

Nyamsuren Ochirbat, Ochirbat Guseelee

We introduce a frequency-matching design principle that overcomes speed limitations of slow optical nonlinearities. By matching the optical timescale via modulation frequency or pulse duration to the material's nonlinear response time $\tau$ , efficient all-optical switching becomes possible even in thermally dominated, free-carrier-based, or other slow nonlinear systems. The condition $\omega\tau \sim 1$ maximizes switching efficiency and transforms the material response time from a limitation into a design parameter. Combined with spatial barrier engineering via propagation constant tuning, this provides a complete spatiotemporal framework for nonlinear photonic switches. Universal scaling laws and design guidelines are given for various material platforms.We introduce a frequency-matching design principle that overcomes speed limitations of slow optical nonlinearities. By matching the optical timescale via modulation frequency or pulse duration to the material's nonlinear response time $\tau$, efficient all-optical switching becomes possible even in thermally dominated, free-carrier-based, or other slow nonlinear systems. The condition $\omega\tau \sim 1$ maximizes switching efficiency and transforms the material response time from a limitation into a design parameter. Combined with spatial barrier engineering via propagation constant tuning, this provides a complete spatiotemporal framework for nonlinear photonic switches. Universal scaling laws and design guidelines are given for various material platforms.

Feb 16, 20260 citations

Approximation Methods

J. Daniel Kelley, Jacob J. Leventhal

Springer eBooksNov 25, 20160 citations

Cavity enhanced second-order nonlinear quantum photonic logic circuits

Rahul Trivedi, Uday K. Khankhoje, Arka Majumdar

A large obstacle for realizing quantum photonic logic is the weak optical nonlinearity of available materials, which results in large power consumption. In this paper, we present the theoretical design of all-optical logic with second order ( $\chi^{(2)}$ ) nonlinear bimodal cavities and their networks. Using semiclassical models derived from the Wigner quasi-probability distribution function, we analyze the power consumption and signal-to-noise ratio (SNR) of networks implementing an optical AND gate and an optical latch. Comparison between the second and third order $(\chi^{(3)})$ optical logic reveals that while the $\chi^{(3)}$ design outperforms the $\chi^{(2)}$ design in terms of the SNR for the same input power, employing the $\chi^{(3)}$ nonlinearity necessitates the use of cavities with ultra high quality factors ( $Q\sim 10^6$ ) to achieve gate power consumption comparable to that of the $\chi^{(2)}$ design at significantly smaller quality factors ( $Q \sim 10^4$ ). Using realistic estimates of the $\chi^{(2)}$ and $\chi^{(3)}$ nonlinear susceptibilities of available materials, we show that at achievable quality factors ( $Q \sim 10^4$ ), the $\chi^{(2)}$ design is an order of magnitude more energy efficient than the corresponding $\chi^{(3)}$ design.A large obstacle for realizing quantum photonic logic is the weak optical nonlinearity of available materials, which results in large power consumption. In this paper, we present the theoretical design of all-optical logic with second order ($\chi^{(2)}$) nonlinear bimodal cavities and their networks. Using semiclassical models derived from the Wigner quasi-probability distribution function, we analyze the power consumption and signal-to-noise ratio (SNR) of networks implementing an optical AND gate and an optical latch. Comparison between the second and third order $(\chi^{(3)})$ optical logic reveals that while the $\chi^{(3)}$ design outperforms the $\chi^{(2)}$ design in terms of the SNR for the same input power, employing the $\chi^{(3)}$ nonlinearity necessitates the use of cavities with ultra high quality factors ($Q\sim 10^6$) to achieve gate power consumption comparable to that of the $\chi^{(2)}$ design at significantly smaller quality factors ($Q \sim 10^4$). Using realistic estimates of the $\chi^{(2)}$ and $\chi^{(3)}$ nonlinear susceptibilities of available materials, we show that at achievable quality factors ($Q \sim 10^4$), the $\chi^{(2)}$ design is an order of magnitude more energy efficient than the corresponding $\chi^{(3)}$ design.

Nov 26, 20151 citation

Complexity and Criticality

Kim Christensen, Nicholas R. Moloney

Imperial college press advanced physics textOct 1, 2005505 citations

\tau

, efficient all-optical switching becomes possible even in thermally dominated, free-carrier-based, or other slow nonlinear systems. The condition

\omega\tau \sim 1

maximizes switching efficiency and transforms the material response time from a limitation into a design parameter. Combined with spatial barrier engineering via propagation constant tuning, this provides a complete spatiotemporal framework for nonlinear photonic switches. Universal scaling laws and design guidelines are given for various material platforms.

\chi^{(2)}

) nonlinear bimodal cavities and their networks. Using semiclassical models derived from the Wigner quasi-probability distribution function, we analyze the power consumption and signal-to-noise ratio (SNR) of networks implementing an optical AND gate and an optical latch. Comparison between the second and third order

(\chi^{(3)})

optical logic reveals that while the

\chi^{(3)}

design outperforms the

\chi^{(2)}

design in terms of the SNR for the same input power, employing the

\chi^{(3)}

nonlinearity necessitates the use of cavities with ultra high quality factors (

Q\sim 10^6

) to achieve gate power consumption comparable to that of the

\chi^{(2)}

design at significantly smaller quality factors (

Q \sim 10^4

). Using realistic estimates of the

\chi^{(2)}

and

\chi^{(3)}

nonlinear susceptibilities of available materials, we show that at achievable quality factors (

Q \sim 10^4

), the

\chi^{(2)}

design is an order of magnitude more energy efficient than the corresponding

\chi^{(3)}

design.