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Complex modes in optical fibers and silicon waveguides.
Optics Letters
|September 1, 2021
Summary
Complex modes in optical waveguides, though rare, can exist in lossless materials. This study explores their formation, calculates dispersion relations, and identifies conditions for their existence in circular fibers and silicon waveguides.
Area of Science:
- Photonics and Optical Engineering
- Waveguide Theory
- Materials Science
Background:
- Open optical waveguides typically support real propagation constants.
- The existence and properties of complex modes in lossless waveguides are not well-understood.
- Limited research exists on complex modes, despite their potential.
Purpose of the Study:
- To investigate the formation mechanism of complex modes in open optical waveguides.
- To calculate the dispersion relations for complex modes in specific waveguide structures.
- To determine the conditions necessary for the existence of complex modes.
Main Methods:
- Theoretical analysis of complex mode formation in optical waveguides.
- Numerical calculation of dispersion relations for circular fibers and silicon waveguides.
- Determination of the minimum refractive-index ratio for complex mode existence in circular fibers.
Main Results:
- Complex modes can form and be confined around the waveguide core even in lossless dielectric materials.
- Dispersion relations for several complex modes were calculated for circular fibers and silicon waveguides.
- The minimum refractive-index ratio required for complex mode existence in circular fibers was identified.
Conclusions:
- This study addresses a gap in optical waveguide theory concerning complex modes.
- The findings provide a theoretical foundation for understanding and potentially utilizing complex modes.
- The research lays groundwork for future applications leveraging the unique properties of complex modes.
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