Related Experiment Video
Updated: Jun 10, 2026

11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Nonlinear light propagation in fractal waveguide arrays
1Department of Electrical Engineering and Princeton Institute for the Science and Technology of Materials Princeton University, Princeton, NJ 08544, USA.
Optics Express
|July 20, 2010
Summary
We studied light in fractal waveguide arrays, finding that energy transport depends on band structure and nonlinearity. This research advances nonlinear wave dynamics in self-similar structures.
Area of Science:
- Nonlinear optics
- Wave dynamics
- Fractal physics
Background:
- Fractal waveguide arrays offer unique self-similar structures for light manipulation.
- Understanding nonlinear light propagation is crucial for advanced photonic devices.
Purpose of the Study:
- To experimentally and numerically investigate nonlinear light propagation in fractal waveguide arrays.
- To analyze energy transport influenced by band structure, nonlinearity, and probe beam geometry.
Main Methods:
- Utilized a nested set of periodic arrays for fractal structure.
- Conducted experimental observations of intensity in position space.
- Performed numerical simulations and analyzed power spectra in momentum space.
Main Results:
- Observed and characterized nonlinear light propagation dynamics.
- Demonstrated the dependence of energy transport on key parameters.
- Identified fundamental behaviors in self-similar wave propagation.
Conclusions:
- The study provides fundamental insights into nonlinear wave dynamics within fractal structures.
- Results have potential applications in enhancing the efficiency and sensitivity of fractal photonic devices.
Related Concept Videos
Interference and Diffraction
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Propagation of Waves
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
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:
The de Broglie Wavelength
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
The Wave Nature of Light
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
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.

