Expression of reflection-peak wavelengths of arbitrary chirped and sampled fiber Bragg gratings

Yuling Lu; Chinhua Wang; Xiaojun Zhu; Guiju Zhang; Minfu Zhao

doi:10.1117/12.803949

11 November 2008 Expression of reflection-peak wavelengths of arbitrary chirped and sampled fiber Bragg gratings

Yuling Lu, Chinhua Wang, Xiaojun Zhu, Guiju Zhang, Minfu Zhao

Proceedings Volume 7134, Passive Components and Fiber-based Devices V; 71340O (2008) https://doi.org/10.1117/12.803949
Event: Asia-Pacific Optical Communications, 2008, Hangzhou, China

Abstract

We present an analytical expression for sampled fiber Bragg gratings (SFBGs) with arbitrary chirps in sampling function or grating period or combination of both. The relationship among the wavelength of each channel, the chirp coefficient of the sampling and the grating period, and the total length of the grating is explicitly given. Specifically, the chirped sampling function is first expanded into a new function using Fourier theory; the equivalent local Bragg period is then obtained to derive the expression of the reflection peak wavelength. The overall wavelength position is obtained by summation of both contributions from sampling chirp and the grating chirp. The calculated results based on the analytical expression are examined with the conventional numerical results, which are found to be in excellent agreement.

Citation Download Citation

Yuling Lu, Chinhua Wang, Xiaojun Zhu, Guiju Zhang, and Minfu Zhao "Expression of reflection-peak wavelengths of arbitrary chirped and sampled fiber Bragg gratings", Proc. SPIE 7134, Passive Components and Fiber-based Devices V, 71340O (11 November 2008); https://doi.org/10.1117/12.803949

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

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
9 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Fiber Bragg gratings

Statistical analysis

Modulation

Reflectivity

Refractive index

Fourier theory

Numerical analysis

Show All Keywords

Keywords/Phrases

Search In:

Publication Years