Explicit asymptotic formulas for the positions, widths, and strengths of resonances in Mie scattering

Lam, Christopher; Leung, P. T.; Young, K.

doi:10.1364/josab.9.001585

Cited by 381 publications

(245 citation statements)

References 11 publications

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“…The mode assignment requires fitting the positions of the resonances in a broad spectral range using the Mie scattering theory. 39,48 As illustrated in Figure 2e, the fiber-taper-coupled microsphere system operates in a weak coupling regime for spheres with D in 12-30 mm range. Although the maximal resonant optical forces are expected at critical coupling (k5a) around D<44 mm, these spheres are too bulky and their narrow first order (n51) resonances with Q<10 5 are difficult to use in practical optical propelling experiments.…”

Section: Microfluidic Fiber-integrated Platformmentioning

confidence: 99%

Giant resonant light forces in microspherical photonics

Svitelskiy

Maslov³

et al. 2013

Light Sci Appl

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Resonant light pressure effects can open new degrees of freedom in optical manipulation with microparticles, but they have been traditionally considered as relatively subtle effects. Using a simplified two-dimensional model of surface electromagnetic waves evanescently coupled to whispering gallery modes (WGMs) in transparent circular cavities, we show that under resonant conditions the peaks of the optical forces can approach theoretical limits imposed by the momentum conservation law on totally absorbing particles. Experimentally, we proved the existence of strong peaks of the optical forces by studying the optical propulsion of dielectric microspheres along tapered microfibers. We observed giant optical propelling velocities ,0.45 mm s 21 for some of the 15-20 mm polystyrene microspheres in water for guided powers limited at ,43 mW. Such velocities exceed previous observations by more than an order of magnitude, thereby providing evidence for the strongly enhanced resonant optical forces. We analyzed the statistical properties of the velocity distribution function measured for slightly disordered (,1% size variations) ensembles of microspheres with mean diameters varying from 3 to 20 mm. These results demonstrate a principal possibility of optical sorting of microspheres with the positions of WGM resonances overlapped at the wavelength of the laser source. They can be used as building blocks of the lossless coupled resonator optical waveguides and various integrated optoelectronics devices.

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Section: Microfluidic Fiber-integrated Platformmentioning

confidence: 99%

Giant resonant light forces in microspherical photonics

Svitelskiy

Maslov³

et al. 2013

Light Sci Appl

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“…Consequently, lasing frequencies can be well-fitted by the asymptotic solutions of Mie scattering formalism. [40] The TE modes (from the right to the left) are well matched with mode numbers of 211-218 and TM modes are indexed as 211-216 (all modes are first radial modes r = 1 as they have the highest Q value) with assuming diameter of the sphere is D = 31.53 µm, refractive index of the sphere (n 1 ) and surrounding medium (n 2 ) are 1.42 and 1, respectively. The spectral linewidth (Δλ) of the lasing modes is as small as 0.2 nm (which is limited by the resolution of our spectrometer), corresponding to a Q factor, defined as Q = λ/Δλ, of ≈3 × 10 3 .…”

mentioning

confidence: 93%

“…It is well-known that WGMs can be characterized by radial mode (r), angular, or azimuthal mode (m) ,and its polarization, either transverse electric (TE) or transverse magnetic (TM) modes (schematic of TE and TM modes is shown in Figure S5, Supporting Information). [40] For a droplet cavity, TE modes are generally expected to have higher Q factor than TM modes. [41] With this assumption, the lasing envelope with higher intensity is referred to TE modes while the other is TM modes.…”

mentioning

confidence: 99%

Microsphere Solid‐State Biolasers

Caixeiro

Fernandes

et al. 2017

Advanced Optical Materials

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Biolasers obtained from biomaterials are attracting a wealth of interest for their potential as future biosensors with enhanced sensitivity, and advanced cell tracking. Here, miniature biolasers are reported, which are formed by bovine serum albumin (BSA) protein and biosourced polysaccharides derived from land plants such as cellulose and pectin. Using a green processing route aided by simple emulsions, solid-state microspheres with diameters of 15–100 µm are fabricated and utilized as whispering gallery mode lasers with thresholds of a few µJ mm–2 and quality factors of up to 3000. Furthermore, BSA microlasers are found to be compatible with cell growth and resistant to the aqueous environment of cell culture media. This environmentally friendly and biocompatible design shows promise for future implantable biosensing devices opening a path between laser science and medicine

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“…It is useful to start with some physical insight. For a ray with wave number n s k 0 inside the microsphere striking the microsphere surface at an angle θ to the normal, the angular momentum is [25] …”

Section: The Evanescent Whispering Gallery Field In the Shell Type Stmentioning

confidence: 99%

“…But sin(θ) ranges from unity (glancing incidence) to 1/n s (the limit of total internal reflection), thus for large spheres, ν scales with x, and it is therefore convenient to define µ = ν/x(n s ≥ µ ≥ 1). Moreover, low order resonance modes (with small quantum number n) correspond to nearly glancing rays, so we expect the absolute value of |n s x − ν| to be relatively small; in fact, this difference turns out to scale as ν 1/3 [25]. So it is common to define a variable expected to be O (1), by…”

Section: The Evanescent Whispering Gallery Field In the Shell Type Stmentioning

confidence: 99%

Analytical Modeling of Quality Factor for Shell Type Microsphere Resonators

Talebi¹,

Abbasian

Rostami³

2011

PIER B

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Abstract-In this paper, we have proposed a shell type dielectric microsphere resonator in order to enhance its quality factor. In this work we have assumed that the radius of dielectric microsphere is 12 µm and that the interior metal layer radius is 11.5 µm. We have obtained analytic equations for Vector potentials, characteristic equation, quality factor, resonance frequency and resonance location of TE modes. We have plotted these characteristics by MATLAB software and compared them with the normal microsphere characteristics.

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Explicit asymptotic formulas for the positions, widths, and strengths of resonances in Mie scattering

Cited by 381 publications

References 11 publications

Giant resonant light forces in microspherical photonics

Giant resonant light forces in microspherical photonics

Microsphere Solid‐State Biolasers

Analytical Modeling of Quality Factor for Shell Type Microsphere Resonators

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