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Standing Waves in a Cavity

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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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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

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Published on: November 30, 2012

Excitable wave patterns in a spatially extended nonlinear optical cavity.

W Lu, D Yu, R G Harrison

|December 13, 2007

Summary

Finite external excitation generates traveling waves in passive optical systems. Optical phase influences wave velocity, and 2D systems exhibit rotating spiral waves.

Area of Science:

Nonlinear dynamics
Optical physics
Wave phenomena

Background:

Excitable media exhibit complex dynamics, including wave propagation.
Passive optical systems offer a platform for studying nonlinear phenomena.
Understanding wave behavior is crucial for optical system design.

Purpose of the Study:

To investigate the generation and characteristics of traveling waves in a passive optical system.
To analyze the influence of optical phase on wave properties.
To explore wave dynamics in two-dimensional space.

Main Methods:

Simulating wave propagation in a one-dimensional passive optical system.
Comparing excitable and diffusive system behaviors.
Numerical observation of wave evolution in two-dimensional space.

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Main Results:

Finite external excitation induces traveling waves in 1D systems.
Optical phase significantly affects traveling wave solutions and velocity.
Rotating optical spiral waves are observed in 2D systems from truncated planar fronts.

Conclusions:

Passive optical systems can support traveling wave solutions.
Optical phase is a critical parameter controlling wave dynamics.
Complex wave patterns like spiral waves emerge in higher dimensions.