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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:
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.
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.

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Related Experiment Video

Updated: Jun 20, 2026

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

Two-dimensional waveguide modeling of leaky-mode arrays.

G R Hadley

    Optics Letters
    |September 16, 2009
    PubMed
    Summary

    We validated effective-index method insights for index-guided arrays using a 2D Helmholtz equation. This confirms guidewidth tailoring is crucial for high-power, fundamental-mode operation in these optical devices.

    Area of Science:

    • Optics and Photonics
    • Waveguide Array Physics

    Background:

    • Previous calculations used the effective-index method for index-guided arrays.
    • Understanding leaky mode behavior is essential for high-power device operation.

    Purpose of the Study:

    • To validate previous findings using a more rigorous method.
    • To investigate the mode-selection mechanism in detail.
    • To confirm the impact of guidewidth tailoring on device performance.

    Main Methods:

    • Direct solution of the two-dimensional Helmholtz equation.
    • Analysis of leaky modes in infinite periodic index-guided arrays.

    Main Results:

    • Validated physical insights from the effective-index method.

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  • Confirmed the effectiveness of guidewidth tailoring for fundamental-mode operation at high power.
  • Provided new insights into the mode-selection mechanism.
  • Conclusions:

    • A full two-dimensional treatment is necessary for accurate mode profile and gain description.
    • Guidewidth tailoring is a key design parameter for high-power index-guided arrays.