Related Experiment Video
Updated: Jun 19, 2026

08:48
Writing Bragg Gratings in Multicore Fibers
Published on: April 20, 2016
Cladding mode resonances in short- and long- fiber grating filters: comment
1Ministry of Education, Key Laboratory of Fiber Optic Sensing Technology and Information Processing, Wuhan University of Technology, Wuhan 430070, China. ymyyq@whut.edu.cn
Summary
This study clarifies calculations for core-mode-cladding-mode coupling constants. It validates existing power-carrying formulas and provides new derivations for specific cladding mode power equations, enhancing optical fiber analysis.
Area of Science:
- Optics and Photonics
- Fiber Optics
- Electromagnetism
Background:
- Core-mode-cladding-mode coupling is crucial for understanding light propagation in optical fibers.
- Accurate calculation of the coupling constant requires precise determination of power carried by cladding modes.
- Existing formulas by T. Erdogan provide a basis for these calculations.
Purpose of the Study:
- To investigate and clarify the calculation of the coupling constant for core-mode-cladding-mode coupling.
- To validate and comment on specific formulas related to cladding mode power.
- To present new derivations for previously complex equations.
Main Methods:
- Comparison of derived formulas for cladding mode power (P1, P2, P3) with established literature.
- Detailed analysis and commentary on equations (B3)-(B15) from T. Erdogan's 1997 paper.
- Derivation of new formulas for specific aspects of cladding mode power calculation.
Main Results:
- The derived formulas for P1 and P3 were found to be consistent with T. Erdogan's 1997 publication (Eqs. B2 and B16).
- Equations (B3)-(B15) for P2 were identified as requiring further clarification and commentary.
- New derivations were successfully developed for the P2 equations, offering improved understanding.
Conclusions:
- The study confirms the validity of certain existing formulas for cladding mode power.
- New derivations provide a more comprehensive understanding of cladding mode power calculations.
- This work contributes to more accurate modeling of core-mode-cladding-mode coupling in optical fibers.
Related Concept Videos
Parallel Resonance
The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
Sound Waves: Resonance
Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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:
Modes of Standing Waves: II
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.

