Related Experiment Video
Updated: Feb 11, 2026
12:18
Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
Published on: August 5, 2013
17.5K
Defining cylindrical space optical resonators through supported mode properties: inverse numerical process
Optics Express
|May 3, 2018
Summary
This study introduces an inverse numerical method to determine optical resonator properties. It uses electromagnetic field profiles to identify material and geometry, aiding in designing optical fibers and photonic crystals.
Area of Science:
- Electromagnetism
- Optical Engineering
- Computational Physics
Background:
- Traditional methods solve electromagnetic wave equations for known material properties and geometry.
- Determining material and geometric properties from field data is a challenging inverse problem.
Purpose of the Study:
- To present an inverse numerical method for determining the material and geometric properties of cylindrically symmetric optical resonators.
- To demonstrate a technique that solves for material and geometry using electric and magnetic field profiles.
Main Methods:
- Conversion of Faraday's and Ampere's laws into matrix operator form.
- Rearrangement of equations to solve for unknown relative permittivity and permeability tensors.
- Application of a Fourier-Bessel numerical approach suitable for cylindrical geometries.
Main Results:
- Successful determination of material and geometry for optical resonator structures.
- Demonstration with non-magnetic materials and diagonal relative permittivity tensors.
- Inclusion of axial field propagation to showcase design capabilities for optical and photonic crystal fibers.
Conclusions:
- The presented inverse numerical process effectively determines optical resonator characteristics.
- The Fourier-Bessel approach is well-suited for analyzing cylindrical optical structures.
- This technique offers valuable design insights for advanced optical fiber applications.
Related Concept Videos
02:24Properties of Enantiomers and Optical Activity
21.8K
It is essential to understand the difference between chiral and achiral interactions and the implications thereof in optical activity and their applications. Just as our feet, which are chiral, interact uniquely with chiral objects, such as a pair of shoes, but identically with achiral socks, enantiomers of a molecule exhibit different properties only when they interact with other chiral media. An example of a significant implication from this facet is the phenomenon known as optical activity,...
21.8K
01:24Numerical Calculations
1.2K
In engineering applications, the representation of the numerical value is critical. Presenting or reporting the answer is one of the essential parts of engineering practices. Numerical calculations are performed using handheld calculators or computers since numerically accurate answers are always preferred.
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
1.2K
02:52Resonance
66.0K
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N-O and N=O bonds.
66.0K
01:07What is a Mode?
26.5K
The mode is one of the commonly used measures of a central tendency. It is defined as the most frequent value in a data set.
There can be more than one mode in a data set if multiple values have the same highest frequency. For instance, suppose that the Statistics exam scores of 20 students are: 50; 53; 59; 59; 63; 63; 72; 72; 72; 72; 72; 76; 78; 81; 83; 84; 84; 84; 90; 93. Here, the mode is 72, as it occurs most frequently, five times.
A data set with two modes is called bimodal. For example,...
There can be more than one mode in a data set if multiple values have the same highest frequency. For instance, suppose that the Statistics exam scores of 20 students are: 50; 53; 59; 59; 63; 63; 72; 72; 72; 72; 72; 76; 78; 81; 83; 84; 84; 84; 90; 93. Here, the mode is 72, as it occurs most frequently, five times.
A data set with two modes is called bimodal. For example,...
26.5K
01:22Polar and Cylindrical Coordinates
21.2K
The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
21.2K
01:26Spherical and Cylindrical Capacitor
6.8K
A spherical capacitor consists of two concentric conducting spherical shells of radii R1 (inner shell) and R2 (outer shell). The shells have equal and opposite charges of +Q and −Q, respectively. For an isolated conducting spherical capacitor, the radius of the outer shell can be considered to be infinite.
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field,...
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field,...
6.8K