Ringing phenomenon in a high-Q fiber bottle microresonator

Meixia Shen; Mingyong Ye; Qin Lin; Rongcan Yang; Xiumin Lin

doi:10.3788/COL201614.021402

Journals >Chinese Optics Letters >Volume 14 >Issue 2 >Page 021402 > Article

Chinese Optics Letters
Vol. 14, Issue 2, 021402 (2016)

Ringing phenomenon in a high-Q fiber bottle microresonator

Meixia Shen, Mingyong Ye^*, Qin Lin, Rongcan Yang, and Xiumin Lin

Author Affiliations

Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou 350007, China

show less

DOI: 10.3788/COL201614.021402 Cite this Article Set citation alerts

Meixia Shen, Mingyong Ye, Qin Lin, Rongcan Yang, Xiumin Lin. Ringing phenomenon in a high-Q fiber bottle microresonator[J]. Chinese Optics Letters, 2016, 14(2): 021402 Copy Citation Text

EndNote(RIS)

BibTex

Plain Text

show less

Abstract

It is demonstrated that high-

Q

(

Q ～ 10^{8}

) bottle microresonators can be fabricated by using a

{CO}_{2}

laser to heat a vertical single-mode fiber with a small weight attached to its lower end. A tunable continuous-wave laser is used to excite whispering-gallery modes in a bottle microresonator through a fiber taper, and a ringing phenomenon is observed. The observed ringing phenomenon is well explained through the numerical solution of a dynamic equation. In addition, an explicit function is given to describe the light field in the resonator, and the theoretical transmission based on the function also agrees very well with the experimental ringing phenomenon.

\frac{d E_{c} (t)}{d t} = (- j w_{c} - k_{o} - k_{e}) E_{c} (t) + \sqrt{2 k_{e}} E_{in} (t),

(1)

View in Article

E_{out} (t) = - E_{in} (t) + \sqrt{2 k_{e}} E_{c} (t) .

(2)

View in Article

E_{in} (t) = s e^{- j (w_{l_{0}} t + \frac{1}{2} v t^{2})}, v < 0, t \geq 0,

(3)

View in Article

E_{c} (t) = e^{A (t)} \int_{0}^{t} e^{- A (t^{'})} \sqrt{2 k_{e}} E_{in} (t^{'}) d t^{'}, t \geq 0,

(4)

View in Article

E_{c}^{'} (t) = C e^{(- j w_{c} - k_{o} - k_{e}) (t - t_{0})}, t \geq t_{0},

(5)

View in Article

Meixia Shen, Mingyong Ye, Qin Lin, Rongcan Yang, Xiumin Lin. Ringing phenomenon in a high-Q fiber bottle microresonator[J]. Chinese Optics Letters, 2016, 14(2): 021402

Download Citation

EndNote(RIS)

BibTex

Plain Text

Set citation alerts for the article

Tools

Set citation alerts for the article

Save the article for my favorites

Paper Information