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Standing Waves in a Cavity

Standing Waves in a Cavity

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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Related Experiment Video

Updated: May 13, 2025

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

Optical vortex arrays in a multimode silicon waveguide.

Yunlong Li, Kaiyuan Wang, Senyu Zhang

|April 15, 2025

Summary

This summary is machine-generated.

Researchers developed a novel method for generating in-plane optical vortex arrays (OVAs) on silicon photonic chips. This breakthrough enables flexible control over vortex properties for advanced optical applications.

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Last Updated: May 13, 2025

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Area of Science:

Photonics and Optical Engineering
Integrated Optics
Quantum Optics

Background:

Optical vortex arrays (OVAs) show great promise in particle manipulation, imaging, metrology, quantum technologies, and optical communication.
Photonic integrated technology offers compact, controllable, and flexible platforms for manipulating vortex beams.
Generating in-plane OVAs on-chip has been a challenge as vortex beams are not eigenmodes of rectangular waveguides.

Purpose of the Study:

To propose and demonstrate a controlled method for generating in-plane optical vortex arrays (OVAs) using silicon waveguides.
To achieve flexible generation of two distinct types of OVAs with controllable topological charges and properties.

Main Methods:

Proposed a method for generating in-plane OVAs by superimposing polarization-multiplexed modes in multimode silicon waveguides.
Utilized the superposition of fundamental transverse magnetic (TM₀) with i-order transverse electric (TE_i) modes for vortex-antivortex arrays.
Employed the superposition of i-order transverse magnetic (TM_i) with TE_i modes for arrays with consistent topological charge directions.

Main Results:

Successfully generated two distinct types of in-plane OVAs over an ultra-wide optical bandwidth.
Demonstrated control over topological charge, transmission state, and quantity of vortex beams by adjusting mode phases and waveguide width.
Achieved flexible generation of vortex-antivortex arrays and arrays with consistent topological charge directions.

Conclusions:

The proposed method provides a viable on-chip solution for generating in-plane optical vortex arrays.
This technique offers unprecedented flexibility in controlling the properties of OVAs for diverse photonic applications.
The findings pave the way for advanced integrated photonic devices utilizing optical vortex arrays.