Related Experiment Video
Updated: Jun 20, 2026

11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Forward wide-angle light propagation in semiconductor rib waveguides
Optics Letters
|September 18, 2009
Summary
Researchers developed a new wide-angle equation for light propagation, offering a rapid solution method. This approach accurately predicts optical losses in semiconductor rib-waveguide Y junctions.
Area of Science:
- Optics and Photonics
- Computational Electromagnetics
- Semiconductor Device Physics
Background:
- Accurate modeling of light propagation in optical waveguides is crucial for device design.
- Existing methods may have limitations in handling wide-angle propagation or computational efficiency.
- Nonparaxial effects become significant in strongly guiding structures.
Purpose of the Study:
- To derive and validate a novel nonparaxial wide-angle equation for unidirectional light propagation.
- To develop an efficient and accurate numerical solution technique for the derived equation.
- To assess the performance of the new method using a realistic semiconductor rib-waveguide Y junction test case.
Main Methods:
- Derivation of a new nonparaxial wide-angle equation.
- Development of a unitary solution procedure combining split-step fast-Fourier-transform and finite-difference methods.
- Numerical simulation of light propagation in a semiconductor rib-waveguide Y junction.
Main Results:
- Successful derivation of the nonparaxial wide-angle equation.
- Implementation of a rapid unitary solution algorithm.
- Calculated optical losses show good agreement with established Fresnel equation methods for the test case.
Conclusions:
- The new nonparaxial wide-angle equation provides an accurate description of light propagation.
- The developed solution procedure is efficient and suitable for practical applications.
- The method shows promise for analyzing complex waveguide structures like Y junctions.
Related Concept Videos
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...
Biasing of Metal-Semiconductor Junctions
Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
In Schottky junctions, where the semiconductor is n-type, applying a positive voltage to the metal relative to the semiconductor reduces its Fermi...
In Schottky junctions, where the semiconductor is n-type, applying a positive voltage to the metal relative to the semiconductor reduces its Fermi...
Semiconductors
There is variation in the electrical conductivity of materials - metals, semiconductors, and insulators that are showcased with the help of the energy band diagrams.
Metals such as copper (Cu), zinc (Zn), or lead (Pb) have low resistivity and feature conduction bands that are either not fully occupied or overlap with the valence band, making a bandgap non-existent. This allows electrons in the highest energy levels of the valence band to easily transition to the conduction band upon gaining...
Metals such as copper (Cu), zinc (Zn), or lead (Pb) have low resistivity and feature conduction bands that are either not fully occupied or overlap with the valence band, making a bandgap non-existent. This allows electrons in the highest energy levels of the valence band to easily transition to the conduction band upon gaining...
Propagation Speed of Electromagnetic Waves
Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:

