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Related Concept Videos

Standing Waves in a Cavity01:28

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:
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...
Plane Electromagnetic Waves II01:29

Plane Electromagnetic Waves II

Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law.
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Electric Field of Parallel Conducting Plates01:16

Electric Field of Parallel Conducting Plates

Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
Consider a cross-section of a thin, infinite conducting plate having a positive charge. For such a large thin plate, as the thickness of the plate tends to zero, the positive charges lie on the plate's two large faces. Without an external electric field, the...

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

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Published on: November 30, 2012

Mode field patterns and preferential mode coupling in planar waveguide-coupled square microcavities.

Chung Yan Fong, Andrew Poon

    Optics Express
    |May 28, 2009
    PubMed
    Summary
    This summary is machine-generated.

    We studied mode coupling in square microcavities using numerical simulations. Mode number parity influences field patterns and coupling efficiency, guiding light effectively when modes match waveguide propagation.

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    Area of Science:

    • Photonics and Waveguide Optics
    • Computational Electromagnetics

    Background:

    • Planar waveguide-coupled microcavities are key components in integrated photonic circuits.
    • Understanding mode field patterns and coupling is crucial for device performance.

    Purpose of the Study:

    • To investigate mode field patterns and coupling characteristics in square microcavities.
    • To analyze the influence of mode number parity on these properties.

    Main Methods:

    • Utilized a two-dimensional finite-difference time-domain (FDTD) method for numerical simulations.
    • Employed k-space representation to identify and analyze simulated mode field patterns.

    Main Results:

    • Distinct mode field patterns and spectral characteristics were observed for different mode number parities.
    • K-space modes closely matching the waveguide propagation mode exhibited higher coupling efficiency.
    • Mode number parity was found to modify this preferential mode coupling.

    Conclusions:

    • Mode number parity is a critical factor in controlling mode coupling in square microcavities.
    • This understanding can aid in designing more efficient waveguide-coupled photonic devices.