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Related Concept Videos

Active Filters01:25

Active Filters

Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
Passive Filters01:27

Passive Filters

Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff frequency...
Integrator and Differentiator01:13

Integrator and Differentiator

Op-amp circuits have significant applications in various fields, including automotive engineering. One such application is cruise control systems in cars, where op-amp circuits are integral for maintaining a constant speed. In these systems, op-amps function as both integrators and differentiators.
An integrator within an op-amp circuit produces an output directly proportional to the integral of the input signal. This is achieved by replacing the feedback resistor in a typical inverting...
Properties of Laplace Transform-II01:16

Properties of Laplace Transform-II

Time differentiation, convolution, integration, and periodicity are fundamental concepts in analyzing functions and signals over time. Each concept provides a unique perspective on how functions evolve, interact, and repeat, offering essential tools for various scientific and engineering applications.
Time differentiation involves analyzing the rate of change of a function over time. Mathematically, it is the derivative of a function with respect to time. This concept can be likened to tracking...
Convolution Properties I01:20

Convolution Properties I

Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
First Order Systems01:21

First Order Systems

First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...

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Related Experiment Video

Updated: Jun 13, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

High-order passive photonic temporal integrators.

Mohammad H Asghari1, Chao Wang, Jianping Yao

  • 1Institut National de la Recherche Scientifique-Energie, Matériaux et Télécommunications (INRS-EMT),Montréal, Québec, H5A 1K6 Canada. asghari@emt.inrs.ca

Optics Letters
|April 23, 2010
PubMed
Summary

Researchers developed an ultrafast photonic integrator using fiber Bragg gratings (FBGs). This technology enables precise first- and second-order temporal integrations of complex optical signals.

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Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

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Last Updated: Jun 13, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

Area of Science:

  • Photonics
  • Optical Signal Processing
  • Fiber Optics

Background:

  • Ultrafast optical signal processing requires efficient temporal integration.
  • Existing methods for temporal integration often lack efficiency or order flexibility.

Purpose of the Study:

  • To experimentally demonstrate a novel ultrafast photonic high-order (second-order) complex-field temporal integrator.
  • To present a general fiber Bragg grating (FBG) design approach for arbitrary-order passive temporal integrators.
  • To achieve significant energetic-efficiency improvements in first-order temporal integration.

Main Methods:

  • Utilizing a single apodized uniform-period fiber Bragg grating (FBG) for device fabrication.
  • Implementing a general FBG design methodology for optimized arbitrary-order photonic passive temporal integrators.
  • Experimental testing and validation of fabricated FBG devices for temporal integration.

Main Results:

  • Successful demonstration of the first-order photonic passive temporal integrator with over an order of magnitude improvement in energetic efficiency.
  • Successful demonstration of the second-order photonic passive temporal integrator.
  • Accurate and efficient temporal integration of ultrafast complex-field optical signals with temporal features as fast as approximately 2.5 ps.

Conclusions:

  • The developed FBG-based approach enables the creation of efficient, arbitrary-order photonic passive temporal integrators.
  • This work represents a significant advancement in ultrafast optical signal processing capabilities.
  • The demonstrated technology paves the way for enhanced performance in various photonic applications.