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Related Experiment Video

Updated: Mar 9, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Harnessing fano-like line shape resonance in a rectangular waveguide for filtering applications.

El-Aouni Mimoun1, Ali Hennache2, Ben-Ali Youssef3

  • 1Laboratory of Materials, Waves, Energy and Environment, Team of Waves, Acoustics, Photonics and Materials, Mohamed I University, Oujda, Morocco.

Scientific Reports
|March 7, 2026
PubMed
Summary

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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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Characteristics of Series Resonant Circuit01:24

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Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
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Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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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.
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The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...
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This study details a tunable one-dimensional rectangular waveguide structure (1D-RWS) for radio-frequency applications. Geometric modifications allow precise control over transmission spectra, enabling versatile bandpass filter designs for communication systems.

Area of Science:

  • Electromagnetics and Wave Propagation
  • Applied Physics
  • Microwave Engineering

Background:

  • One-dimensional rectangular waveguide structures (1D-RWS) are fundamental components in radio-frequency (RF) systems.
  • Controlling electromagnetic wave propagation and filtering characteristics is crucial for advanced communication systems.
  • Existing designs often require complex fabrication or lack tunability.

Purpose of the Study:

  • To investigate the transmission characteristics and filtering performance of a tailored 1D-RWS.
  • To explore the influence of geometric parameters on the spectral response of the waveguide.
  • To establish a design principle for tunable RF bandpass filters based on 1D-RWS.

Main Methods:

  • Theoretical modeling using the Green's function method (GFM) to understand physical mechanisms.
Keywords:
Electromagnetic filterFano-like line shape resonanceGeometric and optical parametersResonatorRing

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  • Numerical validation through rigorous finite element method (FEM) simulations.
  • Systematic analysis of geometric parameters: resonator length, lateral position, and width.

    • Main Results:

    • Demonstrated high tunability of transmission spectra and resonant frequencies.
    • Observed phenomena including resonant frequency shifts, critical coupling, and bandwidth variations.
    • Confirmed the 1D-RWS as a versatile platform for controlling electromagnetic wave propagation.

    Conclusions:

    • The proposed 1D-RWS offers a flexible platform for designing tunable bandpass filters in the RF spectrum.
    • Geometric parameter control provides a method for achieving desired spectral responses.
    • This research provides a design principle for integrated radio-wave circuits and communication systems.