Correcting ray optics at curved dielectric microresonator interfaces: phase-space unification of Fresnel filtering and the Goos-Hänchen shift.
@article{Schomerus2006CorrectingRO, title={Correcting ray optics at curved dielectric microresonator interfaces: phase-space unification of Fresnel filtering and the Goos-H{\"a}nchen shift.}, author={Henning Schomerus and Martina Hentschel}, journal={Physical review letters}, year={2006}, volume={96 24}, pages={ 243903 } }
We develop an amended ray-optics description for reflection at the curved dielectric interfaces of optical microresonators which improves the agreement with wave optics by about one order of magnitude. The corrections are separated into two contributions of similar magnitude, corresponding to ray displacement in independent quantum-phase-space directions, which can be identified with Fresnel filtering and the Goos-Hänchen shift, respectively. Hence we unify two effects which only have been…
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References
SHOWING 1-10 OF 31 REFERENCES
Fresnel laws at curved dielectric interfaces of microresonators.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002
The Goos-Hänchen effect for curved light fronts at a planar interface can be adapted to provide a qualitative and quantitative extension of the ray model which explains the observed deviations from Fresnel's laws.
Effect of the Goos–Hänchen shift on the geometrical-optics model for spherical-cavity mode spacing
- Physics
- 1994
In the geometrical-optics framework, the internal fields near morphology-dependent resonances (MDR) of dielectric spheres are represented by rays undergoing total internal reflection at the sphere…
Multiple beam interference in a quadrupolar glass fiber.
- PhysicsOptics letters
- 2001
It is revealed that different polygonal cavity modes that are refractively output coupled in the high-curvature region of the fiber contribute to the observed far-field interference.
BLOCH modes dressed by evanescent waves and the generalized Goos-Hänchen effect in photonic crystals.
- PhysicsPhysical review letters
- 2004
A physical interpretation is given, showing that the existence of evanescent waves near the interfaces of the photonic crystal can be considered as a generalized Goos-Hänchen effect and a renormalized isofrequency diagram is derived giving the correct direction.
Fresnel filtering in lasing emission from scarred modes of wave-chaotic optical resonators.
- PhysicsPhysical review letters
- 2002
Lasing emission from asymmetric resonant cavity GaN microlasers is studied and it is found that the lasing modes are concentrated on three-bounce unstable periodic ray orbits; i.e., the modes are scarred.
Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond
- Physics
- 2003
We introduce generalized Husimi functions at the interfaces of dielectric systems. Four different functions can be defined, corresponding to the incident and departing wave on both sides of the…
Direct measurement of the wigner delay associated with the goos-Hanchen effect
- PhysicsPhysical review letters
- 2000
It is shown experimentally that the nonspecular reflection of light on an interface induces a time delay, as predicted by Wigner's scattering theory. A differential femtosecond technique is used to…
Deviation from Snell's law for beams transmitted near the critical angle: application to microcavity lasers.
- PhysicsOptics letters
- 2002
We show that when a narrow beam is incident upon a dielectric interface near the critical angle for total internal reflection it will be transmitted into the far field with an angular deflection from…
Quantum chaos in optical systems: the annular billiard.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002
An S-matrix approach to open optical cavities is introduced which proves very suitable for the identification of resonances of intermediate width that will be most important in future applications like optical communication devices and it is shown that the Husimi representation is a useful tool in characterizing resonances.
High-power directional emission from microlasers with chaotic resonators
- PhysicsScience
- 1998
A "bow-tie"-shaped resonance is responsible for the improved performance of the lasers in the higher range of deformations, in contrast to "whispering-gallery"-type modes of circular and weakly deformed lasers.