Optical resonances in tubular microcavities with subwavelength wall thicknesses

Zhan, Tianrong; Xu, Chun; Zhao, Fangyuan; Xiong, Zhaoming; Hu, Xinhua; Huang, Gaoshan; Mei, Yongfeng; Zi, Jian

doi:10.1063/1.3664110

Cited by 20 publications

(29 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…When the wall thickness of microtubes is smaller than the wavelength range of interest, it is reasonable to neglect the structural imperfections in the microtubes such as lobes on the inside and outside rolling edge and possible defects. This approximation can serve as a good starting point for analytical investigation of optical properties of microtubes . The microtube can be treated as an N ‐layered cylindrical structure as shown in Figs.…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

“…Schematic diagrams: (a, b) An N ‐layered cylindrical structure [ N = 2 is shown] and (c) Flat dielectric film with dielectric constant ε and thickness ∆ in air .…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

“…The Mie scattering method can be applied to investigate the optical response of microtubes. When TM (TE) waves impact a microtube, the electric field

E_{z} (r, ϕ)

(magnetic field

H_{z} (r, ϕ)

in the i th layer) can be expressed as

\begin{matrix} true \\ right Ψ_{i} (r) = \sum_{m} [a_{i, m} J_{m} (k_{i} r) + b_{i, m} H_{m}^{(1)} (k_{i} r)] {normale}^{i m φ}, \end{matrix}

where Ψ represents E z ( H z ) of the TE (TM) waves,

k_{i} = \sqrt{ɛ_{i}} k_{0}

. The origin of the cylindrical coordinates

(r, ϕ)

is at the center of microtube and the Bessel function J m and Hankel function

H_{m}^{(1)}

of the first kind stand for the incident and scattering waves, respectively.…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

“…The origin of the cylindrical coordinates

(r, ϕ)

is at the center of microtube and the Bessel function J m and Hankel function

H_{m}^{(1)}

of the first kind stand for the incident and scattering waves, respectively. Using continuities of E z ( H z ) and

\frac{\partial}{\partial r} E_{z}

(

\frac{1}{ɛ} \frac{\partial}{\partial r} H_{z}

) for TM (TE) waves, we have

\begin{matrix} true \\ right \frac{J_{m}^{'} (u) + D_{i + 1, m} H_{m}^{{(1)}^{'}} (u)}{J_{m} (u) + D_{i + 1, m} H_{m}^{(1)} (u)} = \frac{α_{i}}{α_{i + 1}} \frac{J_{m}^{'} (v) + D_{i, m} H_{m}^{{(1)}^{'}} (v)}{J_{m} (v) + D_{i, m} H_{m}^{(1)} (v)}, \end{matrix}

where u = k i +1 r i +1 , v = k i r i +1 , D i , m ≡ b i , m / a i , m , and α i = k i ( k i / ε i ) are for the TM (TE) waves . Using D 1, m = 0 and Eq.…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

“…The perturbation theory is quite effective and suitable for the calculation of defects in microcavities or nanoparticles on the surface of tubular microcavities . Both the Mie scattering theory and adiabatic approximation have been employed to determine the optical axial confinement and more details concerning 3D optical confinement can be found later in Section .…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

See 4 more Smart Citations

Optical microcavities with tubular geometry: properties and applications

Wang

Zhan

Huang

et al. 2013

Laser & Photonics Reviews

Self Cite

102

View full text Add to dashboard Cite

Optical microcavities with whispering-gallery modes (WGMs) have large potential and, in particular, those with a tubular geometry have attracted increasing attention due to their special geometry and interesting properties such as trimmed resonant modes, simplicity as fluidic channels, threedimensionally (3D) mode confinement, unique evanescent wave, and so on. Optical microcavities with the tubular geometry meet the challenge of assembly of conductive, semiconductive and insulating materials into a tubular geometry, thus spurring multifunctional applications to optofluidic devices, optical microdevices like microlasers, and bio/chemical sensors. Fabrication methods such as the fiber-drawing method, rolled-up nanotechnology, electrospin technique, and template-assistant method have been developed to address the various requirements. These tubular optical microcavities enable researchers to explore and construct novel optical microdevices for a wide range of potential applications. This review describes the tubular optical microcavities from the perspectives of theoretical consideration, optical characterization, and potential applications.

show abstract

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

“…Schematic diagrams: (a, b) An N ‐layered cylindrical structure [ N = 2 is shown] and (c) Flat dielectric film with dielectric constant ε and thickness ∆ in air .…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

“…The Mie scattering method can be applied to investigate the optical response of microtubes. When TM (TE) waves impact a microtube, the electric field

E_{z} (r, ϕ)

(magnetic field

H_{z} (r, ϕ)

in the i th layer) can be expressed as

\begin{matrix} true \\ right Ψ_{i} (r) = \sum_{m} [a_{i, m} J_{m} (k_{i} r) + b_{i, m} H_{m}^{(1)} (k_{i} r)] {normale}^{i m φ}, \end{matrix}

where Ψ represents E z ( H z ) of the TE (TM) waves,

k_{i} = \sqrt{ɛ_{i}} k_{0}

. The origin of the cylindrical coordinates

(r, ϕ)

is at the center of microtube and the Bessel function J m and Hankel function

H_{m}^{(1)}

of the first kind stand for the incident and scattering waves, respectively.…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

“…The origin of the cylindrical coordinates

(r, ϕ)

is at the center of microtube and the Bessel function J m and Hankel function

H_{m}^{(1)}

of the first kind stand for the incident and scattering waves, respectively. Using continuities of E z ( H z ) and

\frac{\partial}{\partial r} E_{z}

(

\frac{1}{ɛ} \frac{\partial}{\partial r} H_{z}

) for TM (TE) waves, we have

\begin{matrix} true \\ right \frac{J_{m}^{'} (u) + D_{i + 1, m} H_{m}^{{(1)}^{'}} (u)}{J_{m} (u) + D_{i + 1, m} H_{m}^{(1)} (u)} = \frac{α_{i}}{α_{i + 1}} \frac{J_{m}^{'} (v) + D_{i, m} H_{m}^{{(1)}^{'}} (v)}{J_{m} (v) + D_{i, m} H_{m}^{(1)} (v)}, \end{matrix}

where u = k i +1 r i +1 , v = k i r i +1 , D i , m ≡ b i , m / a i , m , and α i = k i ( k i / ε i ) are for the TM (TE) waves . Using D 1, m = 0 and Eq.…”

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

Section: Theoretical Consideration Of Tubular Microresonatorsmentioning

confidence: 99%

See 3 more Smart Citations

Optical microcavities with tubular geometry: properties and applications

Wang

Zhan

Huang

et al. 2013

Laser & Photonics Reviews

Self Cite

102

View full text Add to dashboard Cite

show abstract

Rolled‐Up Whispering‐Gallery Mode Optical Microcavities

Wang¹,

Yang²,

Huang³

et al. 2022

Nanomembranes

View full text Add to dashboard Cite

Stacking‐Order‐Dependent Optoelectronic Properties of Bilayer Nanofilm Photodetectors Made From Hollow ZnS and ZnO Microspheres

et al. 2012

Self Cite

View full text Add to dashboard Cite

Innovative bilayer nanofilms composed of semiconducting ZnS and ZnO hollow microspheres are successfully fabricated by an oil-water interfacial self-assembly strategy. The photocurrent of the bilayer film-based photodetectors is dependent on the stacking orders of the building blocks. The optimal optoelectronic properties of the ZnS(up)/ZnO(down) device are much better than those of the monolayer-film based device.

show abstract

Optical resonances in tubular microcavities with subwavelength wall thicknesses

Cited by 20 publications

References 19 publications

Optical microcavities with tubular geometry: properties and applications

Optical microcavities with tubular geometry: properties and applications

Rolled‐Up Whispering‐Gallery Mode Optical Microcavities

Stacking‐Order‐Dependent Optoelectronic Properties of Bilayer Nanofilm Photodetectors Made From Hollow ZnS and ZnO Microspheres

Contact Info

Product

Resources

About