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Modes of Standing Waves - I

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...

Modes of Standing Waves: II

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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....

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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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Second harmonic generation in thin optical fibers via cladding modes.

Eman A Elzahaby, Ishac Kandas, Moustafa H Aly

|July 14, 2016

Summary

This study introduces a new method for second harmonic generation (SHG) in silica fibers using cladding modes. The technique achieves efficient signal generation by functionalizing tilted long period gratings with nonlinear coatings.

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Area of Science:

Optics and Photonics
Materials Science
Nonlinear Optics

Background:

Investigating nonlinear optical processes like second harmonic generation (SHG) in amorphous silica-based fibers is challenging.
Existing methods for SHG in optical fibers have limitations in efficiency and applicability to silica.

Purpose of the Study:

To propose and demonstrate a novel method for efficient second harmonic signal (SHS) generation in silica-based optical fibers.
To utilize cladding modes as pump modes for enhanced nonlinear interactions.

Main Methods:

Introduction of cladding modes into optical fibers using tilted long period gratings (T-LPG).
Transfer of core mode power into cladding modes via T-LPG.
Functionalization of T-LPG with nonlinear coating to induce nonlinear interaction.

Main Results:

Successful generation of second harmonic signal (SHS) through the interaction of cladding modes and nonlinear coating.
Achieved SHS generation efficiency up to 0.14%.

Conclusions:

The proposed T-LPG based method offers an effective approach for SHG in silica fibers.
Functionalized cladding modes provide a viable pathway for efficient nonlinear optical signal generation in amorphous materials.