NS: Light trapped on curved surfaces

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bystander
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NS: Light trapped on curved surfaces

Post by bystander » Fri Sep 17, 2010 11:16 am

Light trapped on curved surfaces
New Scientist | Physics & Math | 17 Sept 2010
Image
Glow with the flow (Image: Physical Review Letters)
LIGHT, which in everyday experience travels in straight beams, has been trapped on complex curved surfaces. The feat is not just a parlour trick - it could help people visualise how light travels in the curved fabric of space.

According to Einstein's general theory of relativity, gravity is the result of an object's mass deforming space itself, like a bowling ball on a trampoline. To model how light's path would change in space curved by gravity, Ulf Peschel of the University of Erlangen-Nuremberg in Germany and colleagues constructed smooth 3D objects and sent laser beams shooting along their surfaces (Physical Review Letters, in press).

They took advantage of the fact that light bends, or refracts, when it moves from one medium to another. In their simplest experiment, they shot laser light at the edge of a solid glass sphere. The angle of the beam was chosen so that the light - initially travelling in air - would be bent just enough when it entered the glass that it would keep reflecting off the inside surface of the sphere, and so travel along it. When the light inside the sphere reflected off its inner surface, some was also transmitted through the glass, creating a glowing ring on the outside surface (see image).

The team also constructed an object shaped like two trumpet bells stuck end to end - called a hyperbolic surface. The object was made out of aluminium and then coated with oil. Light sent into the oil layer was confined there, bouncing between the metal and air boundaries. The beam spread out ever more quickly, generating a trumpet-shaped glow.

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alter-ego
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Re: NS: Light trapped on curved surfaces

Post by alter-ego » Mon Sep 20, 2010 2:03 am

Whispering Gallery Modes (WGM) have been used in laser technology for years. Perimeter-coupled energy stays in the sphere for 100's of round trips. Input and output coupling is managed through evanescent fields. I don't see much new value in the above post except for a visual demonstration. Below is one of many articles. (But the picture in the above post does look cool).
Bystander, I hope you don't mind me adding this article :)
TB: Simple Fiber-Optic Coupling for Microsphere Resonators
NASA's Jet Propulsion Laboratory, Pasadena, California
Tuesday, May 01 2001
The "pigtailed" ultra-high-Q microcavities make a novel building block for fiber-optic systems.
Simple fiber-optic couplers have been devised for use in coupling light into and out of the "whispering-gallery" electromagnetic modes of transparent microspheres. The need for this type of coupling arises in conjunction with the use of transparent microspheres as compact, high-Q (where Q is the resonance quality factor) resonators, delay lines for optoelectronic oscillators (including microlasers), and narrow-band-pass filters.
Figure 1. Evanescent-Wave Coupling takes place in the gap between the microsphere and the angle-polished surface on optical fiber. The angle (F) is chosen to match phases of waves propagating in the optical fiber and the microsphere
Figure 1. Evanescent-Wave Coupling takes place in the gap between the microsphere and the angle-polished surface on optical fiber. The angle (F) is chosen to match phases of waves propagating in the optical fiber and the microsphere
Fiber - Sphere.jpg (5.9 KiB) Viewed 171 times
In the whispering-gallery modes of a transparent microsphere, light orbits inside the sphere, where it is confined by total internal reflection. The high degree of confinement results in high Q (up to about 10^10 in the absence of loading). To couple light into or out of the microsphere, it is necessary to utilize overlapping of (1) the evanescent field of the whispering-gallery modes with (2) the evanescent field of a phase-matched optical waveguide or of an optimized total-internal-reflection spot in a prism or similar component. Heretofore, such coupling has been implemented, variously, by use of tapered optical fibers, side-polished optical fibers, or prisms, all of which entail disadvantages:

•Tapered optical fibers are fragile, bulky, and difficult to fabricate.
•Side-polished optical fibers offer low efficiency.
•Prisms are bulky and require collimation and focusing optics to work with optical fibers.
In contrast, the present fiber-optic couplers are simple, compact, and relatively inexpensive. A coupler of this type is essentially a hybrid of a waveguide and a prism coupler, and provides direct coupling with high-Q whispering-gallery modes. The coupler is fabricated by cleaving and polishing the tip of a single-mode optical fiber at an angle to form a microscopic coupling prism integral with the fiber. The cleaved and polished surface lies at a small angle (π/2φ F) with the longitudinal axis of the fiber (see Figure 1). The angle is chosen to secure matching of phases of the waveguide and whispering-gallery modes; by Snell's law, the angle is given by φ = arcsin(nsphere/nfiber), where nsphere is the effective index of refraction for the whispering-gallery modes propagating around the sphere in closed circumferential orbits and nfiber is the effective index of refraction for the guided wave in the truncated region of the fiber-optic core.

In the absence of a nearby microsphere, light propagating along the fiber is totally internally reflected at the angled surface and then escapes through the end face of the fiber. If a microsphere is placed near the angled surface and within the evanescent field of the fiber-optic core, then there is an efficient exchange of energy in resonance between the waveguide mode of the fiber and a whispering-gallery mode of the sphere. Inasmuch as the angle-cut area of the fiber coincides, to a close approximation, with the area of overlap of the evanescent fields, the present coupler is functionally equivalent to a prism coupler, without need for collimation and focusing optics.
Figure 2. Input and Output Fiber-Optic Couplers were placed in proximity to a silica microsphere of 203-μm radius. The total fiber-to-fiber transmission loss at resonance was 6.3 dB (~25 percent of the input light passing through the cavity), with the quality-factor ~1 ×: 10^8 at 1.55 µm
Figure 2. Input and Output Fiber-Optic Couplers were placed in proximity to a silica microsphere of 203-μm radius. The total fiber-to-fiber transmission loss at resonance was 6.3 dB (~25 percent of the input light passing through the cavity), with the quality-factor ~1 ×: 10^8 at 1.55 µm
2 Fiber - Sphere.jpg (6.19 KiB) Viewed 171 times
Figure 2 depicts an experimental setup that was used for testing this coupling method. Efficiency of input and output coupling was measured by simultaneous monitoring of the intensity of the light escaping from the end of the input optical fiber and the power transmitted to the output optical fiber. In the experiments, the gaps between the microsphere and the angled coupling faces of the optical fibers were adjusted to optimize contrast of resonances in input coupling and maximize the power transmitted to the output optical fiber.

The experiments showed that this method of coupling works well, allowing to couple, at resonance, up to 60 percent of the light from the input fiber into the microsphere. The total fiber-to-fiber insertion loss at resonance was about 6 dB, with the quality-factor ~108 at the wavelength 1.55 µm.

This work was done by Lute Maleki, Vladimir Iltchenko, and Steve Yao of Caltech for NASA's Jet Propulsion Laboratory. For further information, access the Technical Support Package (TSP) free on-line at http://www.nasatech.com/tsp under the Physical Sciences category.


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