Journal
OPTICS LETTERS
Volume 46, Issue 7, Pages 1656-1659Publisher
OPTICAL SOC AMER
DOI: 10.1364/OL.422053
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Funding
- Wolfson Foundation [22069]
- Engineering and Physical Sciences Research Council [EP/P006183/1]
- EPSRC [EP/P006183/1] Funding Source: UKRI
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The study determines the fundamental limit of microresonator field uniformity and investigates the relative nonuniformity of an eigenmode amplitude in an ideal bat microresonator. The smallest eigenmode nonuniformity for a realistic fiber is about 0.0003.
We determine the fundamental limit of microresonator field uniformity. It can be achieved in a specially designed microresonator, called a bat microresonator, fabricated at the optical fiber surface. We show that the relative nonuniformity of an eigenmode amplitude along the axial length L of an ideal bat microresonator cannot be smaller than 1/3 pi(2)n(4)lambda(-4) Q(-2)L(4), where n, lambda, and Q are its refractive index, eigenmode wavelength, and Q-factor, respectively. For a silica microresonator with Q = 10(8), this eigenmode has axial speed similar to 10(-4)c, where c is the speed of light in vacuum, and its nonuniformity along length L = 100 mu m at wavelength lambda = 1.5 mu m is similar to 10(-7). For a realistic fiber with diameter 100 mu m and surface roughness 0.2 nm, the smallest eigenmode nonuniformity is similar to 0.0003. As an application, we consider a bat microresonator evanescently coupled to high Q-factor silica microspheres, which serves as a reference supporting ultraprecise straight-line translation. (C) 2021 Optical Society of America
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