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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...
Scaling01:26

Scaling

In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...

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Related Experiment Video

Updated: Jun 24, 2026

Writing Bragg Gratings in Multicore Fibers
08:48

Writing Bragg Gratings in Multicore Fibers

Published on: April 20, 2016

Long-period-fiber-grating-based filter configuration enabling arbitrary linear filtering characteristics.

Radan Slavík1, Mykola Kulishov, Y Park

  • 1Institute of Photonics and Electronics AS CR, Prague, Czech Republic. slavik@ufe.cz

Optics Letters
|April 3, 2009
PubMed
Summary

A new dual long-period fiber grating (LPFG) filter enables arbitrary spectral shaping in transmission. This fiber optic device achieves large bandwidths for synthesizing transform-limited square-like pulses.

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Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

Related Experiment Videos

Last Updated: Jun 24, 2026

Writing Bragg Gratings in Multicore Fibers
08:48

Writing Bragg Gratings in Multicore Fibers

Published on: April 20, 2016

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters
15:25

Design and Characterization Methodology for Efficient Wide Range Tunable MEMS Filters

Published on: February 4, 2018

Area of Science:

  • Photonics and Optical Engineering
  • Fiber Optics
  • Waveform Synthesis

Background:

  • Traditional fiber Bragg gratings (FBGs) operate in reflection and have limitations in achieving large spectral bandwidths.
  • Implementing arbitrary spectral transfer functions often requires complex designs and can be challenging in transmission mode.

Purpose of the Study:

  • To propose and demonstrate a novel filtering scheme based on dual long-period fiber gratings (LPFGs) for arbitrary spectral shaping.
  • To leverage inverse-scattering design algorithms for transmission-based spectral function implementation.
  • To achieve large spectral bandwidths for advanced optical pulse generation.

Main Methods:

  • Utilizing a dual long-period-fiber-grating (LPFG) configuration for optical filtering.
  • Employing inverse-scattering design algorithms, similar to those used for fiber Bragg gratings (FBGs), to define spectral transfer functions.
  • Designing and fabricating a LPFG-based filter for specific pulse synthesis.

Main Results:

  • Demonstrated the feasibility of implementing arbitrary spectral transfer functions using the proposed dual-LPFG transmission filter.
  • Achieved large spectral bandwidths, surpassing limitations of traditional FBG devices.
  • Successfully synthesized transform-limited 1.5-picosecond (ps) square-like optical pulses.

Conclusions:

  • The dual-LPFG configuration offers a significant advancement for optical filtering in transmission.
  • This approach provides a flexible and powerful method for arbitrary spectral shaping and optical waveform synthesis.
  • The demonstrated LPFG filter is suitable for generating precisely shaped optical pulses with large bandwidths.