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Ultrasonic Assessment of Myocardial Microstructure
Published on: January 14, 2014
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Summary
This study analyzes mode properties in uniform optical fibers with CMv symmetry, revealing how field component symmetries arise from governing equations. It clarifies symmetry relationships for orthogonal modes in degenerate pairs.
Area of Science:
- Physics
- Optical Engineering
- Materials Science
Background:
- Recent advancements in hollow-core microstructured optical fibers.
- Absence of translationally-periodic cladding structures in novel fiber designs.
Purpose of the Study:
- To analyze symmetry-induced properties of modes in uniform fibers with CMv point group symmetry.
- To classify modes based on irreducible representations of electric and magnetic field components.
- To clarify symmetry relationships between orthogonal modes in degenerate pairs.
Main Methods:
- Classification of modes using irreducible representations of longitudinal electric and magnetic fields.
- Analysis of radial and azimuthal field component symmetries relative to longitudinal components.
- Determination of symmetry classes for lowest order modes in CMv fibers (M=1-10).
Main Results:
- Radial electric and azimuthal magnetic fields share symmetry with longitudinal electric fields.
- Radial magnetic and azimuthal electric fields share symmetry with longitudinal magnetic fields.
- Provides symmetry classes for lowest order modes in CMv fibers.
Conclusions:
- The study clarifies the emergence of different symmetries for longitudinal electric and magnetic field components from governing equations.
- Enhanced understanding of mode behavior in novel optical fiber structures.
- Provides a foundation for designing and analyzing optical fibers with specific symmetry properties.
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