Theoretical analysis of radiation-mode resonance in long-period fiber gratings

Kai Zheng; Weijun Liang; Fangcheng Yang; Shuisheng Jian

doi:10.1117/12.521501

30 April 2004 Theoretical analysis of radiation-mode resonance in long-period fiber gratings

Kai Zheng, Weijun Liang, Fangcheng Yang, Shuisheng Jian

Proceedings Volume 5279, Optical Fibers and Passive Components; (2004) https://doi.org/10.1117/12.521501
Event: Asia-Pacific Optical and Wireless Communications, 2003, Wuhan, China

Abstract

When the long period fiber grating (LPG) is surrounded with dielectric material whose refractive index is higher than that of cladding, core mode to radiation mode coupling occurs. In this paper, a theoretical method to analyze the radiation-mode resonance in LPG is presented. The coupled-mode equations of LPG are derived based on Amnon Yariv’s coupled-mode theory. Here, the radiation-mode theory is used. The electric field of individual radiation mode is given based on the weakly guiding approximation of three-layer optical waveguide. The expansion of the total radiation modes, which is a Fourier-Bessel integral, is presented. It’s noted that the weight of the integral is not one. The normalization of the individual radiation mode is discussed in detail. It’s found that the normalization integral is unbounded but changed to a Dirac function. Thus, it’s calculated only through theoretical derivation. The approximate numerical method to deal with the coupled-mode equations is presented. The transmission spectra of LPG, which are surrounded with several surrounding refractive indices, are numerically calculated.

Citation Download Citation

Kai Zheng, Weijun Liang, Fangcheng Yang, and Shuisheng Jian "Theoretical analysis of radiation-mode resonance in long-period fiber gratings", Proc. SPIE 5279, Optical Fibers and Passive Components, (30 April 2004); https://doi.org/10.1117/12.521501

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available