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Sound Waves: Resonance

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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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Apodized coupled resonator waveguides.

J Capmany, P Muñoz, J D Domenech

|June 24, 2009

Summary

This summary is machine-generated.

Apodisation, or windowing, of coupling coefficients in coupled resonator waveguide devices (CROWs) effectively reduces secondary sidelobes in their bandpass characteristics. This technique, common in digital filters, enhances the performance of photonic devices.

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Area of Science:

Photonics
Optical Engineering
Filter Design

Background:

Coupled Resonator Waveguide Devices (CROWs) are crucial for optical filtering.
Secondary sidelobes in CROW transfer functions degrade filter performance.
Traditional apodisation techniques are used in digital and photonic filters.

Purpose of the Study:

To analyze the apodisation of coupling coefficients in CROW unit cells.
To investigate the reduction of secondary sidelobes in CROW bandpass characteristics.
To explore the application of windowing functions for improved CROW performance.

Main Methods:

Apodisation (windowing) applied to coupling coefficients within CROW unit cells.
Analysis of both Type-I and Type-II CROW structures.
Evaluation using various standard windowing functions.

Main Results:

Apodisation significantly reduces secondary sidelobe levels in CROW transfer functions.
Different windowing functions offer varying degrees of sidelobe suppression.
The technique is applicable to both Type-I and Type-II CROW designs.

Conclusions:

Apodisation is a viable and effective method for suppressing secondary sidelobes in CROWs.
Windowing coupling coefficients offers a practical approach to enhance CROW filter performance.
This study provides insights for designing improved CROW-based optical filters.