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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:
Sound Waves: Resonance01:14

Sound Waves: Resonance

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...
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.
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...
Parallel Resonance01:23

Parallel Resonance

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:
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

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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Measurement of Chladni Mode Shapes with an Optical Lever Method
04:39

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Published on: June 5, 2020

Guided-mode resonant wave plates.

Robert Magnusson1, Mehrdad Shokooh-Saremi, Eric G Johnson

  • 1Department of Electrical Engineering, University of Texas at Arlington, Arlington, Texas 76019, USA. magnusson@uta.edu

Optics Letters
|July 17, 2010
PubMed
Summary
This summary is machine-generated.

Researchers developed novel optical retarders using guided-mode resonance. These wave plates, designed with electromagnetic models and optimization, offer a new method for creating half-wave and quarter-wave retarders for telecommunications.

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Area of Science:

  • Optics and Photonics
  • Materials Science
  • Nanotechnology

Background:

  • Optical retarders, or wave plates, are crucial components in various photonic applications.
  • Existing wave plate designs can be limited by bandwidth, cost, or fabrication complexity.
  • Guided-mode resonance (GMR) elements offer unique optical properties based on their structure and material composition.

Purpose of the Study:

  • To introduce novel half-wave and quarter-wave retarders utilizing the dispersion properties of guided-mode resonance elements.
  • To demonstrate the design and performance of these GMR-based wave plates for telecommunication wavelengths.
  • To explore the potential for broadband operation and improved performance over conventional retarders.

Main Methods:

  • Numerical electromagnetic modeling was employed to design the wave plate structures.
  • Particle swarm optimization (PSO) was coupled with the electromagnetic models to refine the designs.
  • The performance of the designed wave plates was evaluated by computing reflectance and phase characteristics.

Main Results:

  • A surface-relief grating on a glass substrate coated with silicon demonstrated a half-wave plate.
  • This design achieved nearly equal TE and TM polarization amplitudes and a pi phase difference.
  • A bandwidth exceeding 50 nm was achieved, with potential for wider bandwidths using more complex designs.

Conclusions:

  • Guided-mode resonance elements provide a viable platform for creating effective optical retarders.
  • The developed GMR-based wave plates offer a promising new approach for fabricating optical retarders.
  • Further advancements in design complexity can lead to enhanced operational bandwidths and performance characteristics.