Related Experiment Video
Updated: Jun 14, 2026

10:21
Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
Published on: July 26, 2016
Exact analysis of the evanescent coupling between two indiffused optical waveguides
Applied Optics
|March 25, 2010
Summary
An exact wave analysis of directional couplers reveals coupled-mode theory is accurate for weak waveguide coupling but unreliable for strong coupling scenarios.
Area of Science:
- Optics and Photonics
- Waveguide Theory
Background:
- Directional couplers are fundamental components in integrated optics.
- Graded-index waveguides with exponential profiles are commonly used.
- Coupled-mode theory is a prevalent method for analyzing such structures.
Purpose of the Study:
- To perform an exact scalar wave analysis of a directional coupler.
- To evaluate the accuracy of coupled-mode theory for analyzing directional couplers with exponential graded-index profiles.
Main Methods:
- Exact scalar wave analysis was employed.
- The analysis focused on two identical graded-index waveguides with exponential profiles.
Main Results:
- The study provides an exact analysis of the directional coupler.
- Comparison with coupled-mode theory was performed.
- Accuracy of coupled-mode theory was assessed based on coupling strength.
Conclusions:
- Coupled-mode theory provides accurate results for weak coupling in these structures.
- Coupled-mode theory can yield significantly inaccurate results when coupling is sufficiently strong.
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...
Electromagnetic Wave Equation
Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations: What...
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations: What...
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:
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.
Electromagnetic Waves in Matter
Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...

