A unified Fourier transform theory for photonic crystal and FBG filters in the strong coupling regime
Tóm tắt
The authors present a new Fourier transform theory which provides analytic results for both strongly coupled fiber Bragg grating and photonic crystal filter structures. Trigonometric and hyperbolic descriptions of these important passive optical devices are well known for the regular grating case. However, the unified approach presented here, which is based upon a modified Debye-Waller approach to the analytical solution of the coupled-mode equations, allows intuitive, yet accurate appraisal of arbitrary-strength-coupled structures. It is also applicable to perturbed-periodic gratings, such as linearly chirped devices for dispersion compensation.
Từ khóa
#Fourier transforms #Photonic crystals #Filtering theory #Optical fiber filters #Fiber gratings #Bragg gratings #Optical devices #Equations #Appraisal #ChirpTài liệu tham khảo
10.1002/j.1538-7305.1976.tb02062.x
10.1109/3.544753
parker, 2001, multiple order adaptive dispersion compensation using polynomially-chirped grating devices, Appl Phys B— Lasers Optics Special Issue on Integrated Optics, 73, 635, 10.1007/s003400100667
yariv, 1984, Optical Waves in Crystals
10.1088/1464-4258/3/6/368
10.1364/JOSAA.2.001922
10.1109/68.942664
10.1109/3.555995
10.1109/68.662596