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Anomalous reflections at photonic crystal surfaces
1Department of Applied Physics, Stanford University, Stanford, California 94305, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
Summary
Reflection in photonic crystals deviates from Snell's law, showing unique effects like absent total internal reflection and pinned reflected beam directions. These findings are crucial for advanced photonic circuits.
Area of Science:
- Photonics
- Optics
- Condensed Matter Physics
Background:
- Photonic crystals offer unique light manipulation properties.
- Understanding light reflection at interfaces is key for photonic device design.
- Snell's law governs conventional reflection but may not apply in complex media.
Purpose of the Study:
- To investigate light reflection phenomena at photonic crystal-dielectric interfaces.
- To determine if generalized wave-vector conservation applies to non-aligned interfaces.
- To explore unusual reflection behaviors beyond Snell's law.
Main Methods:
- Theoretical analysis using a generalized wave-vector conservation relation.
- Investigation of phase and group velocity directions of reflected beams.
- Examination of reflection phenomena at various incidence angles, including glancing angles.
Main Results:
- A generalized wave-vector conservation relation is proven for non-aligned interfaces.
- Snell's law is not satisfied by the phase or group velocity of the reflected beam.
- Unusual effects observed: absence of total internal reflection (except at discrete angles), pinned reflected beam directions, and strong backward reflections at glancing incidence.
Conclusions:
- Photonic crystal interfaces exhibit unique reflection properties distinct from conventional optics.
- These phenomena challenge traditional understanding and offer new design possibilities.
- Potential applications include integrated photonic circuits and on-chip optical data transfer.