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.
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 1010 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.

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
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 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 www.nasatech.com/tsp  under the Physical Sciences category.

NPO-20619

Topics:
Fiber optics Fibers Optics Physical Sciences
This Brief includes a Technical Support Package (TSP).
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Simple Fiber-Optic Coupling for Microsphere Resonators

(reference NPO-20619) is currently available for download from the TSP library.

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NASA Tech Briefs Magazine

This article first appeared in the May, 2001 issue of NASA Tech Briefs Magazine (Vol. 25 No. 5).

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Overview

This document presents a technical report from NASA's Jet Propulsion Laboratory (JPL) detailing advancements in fiber optics, specifically focusing on a new type of fiber coupler designed for optical whispering-gallery modes. The authors, Lutfollah Maleki, Vladimir S. Iltchenko, and Xiaotian Steve Yao, explore the potential applications of optical microsphere cavities, which exhibit exceptionally high quality factors (up to Q-10^10) and submillimeter dimensions. These characteristics make them promising components for various photonics applications, including ultra-compact narrow-band filters, spectrum analyzers, microlasers, and optoelectronic microwave oscillators.

The report describes the experimental setup used to investigate the effective index of a standard Corning SMF-28 fiber, which features a germanium-doped core and silica cladding. The authors utilized a finesse ring interferometer with a 2x2 fused coupler to measure the effective index at a wavelength of 1310 nm. This setup involved a probe distributed feedback (DFB) laser and a photodetector, allowing for precise monitoring of the light coupling efficiency.

A key innovation discussed is the angle-polished fiber tip, which serves as a phase-matched coupler for whispering-gallery modes. This design allows light propagating within the fiber core to undergo total internal reflection upon striking the angled surface, facilitating efficient coupling of light into the microsphere cavity. The document emphasizes the importance of optimizing the alignment of the fiber tip to maximize the coupling efficiency, which is monitored by assessing the intensity of the free beam escaping the fiber tip and the power transmitted to the output coupler.

The report also highlights the broader implications of this research, suggesting that the developed couplers could significantly enhance the performance of various optical devices, leading to advancements in telecommunications, sensing technologies, and other fields reliant on fiber optics.

Overall, this document encapsulates a significant step forward in the integration of fiber optics with microsphere cavities, showcasing innovative techniques that could pave the way for future developments in photonics and optical engineering.