Nonlinear parametric studies of photon in a Fiber Bragg Grating

Design and Analysis of Transmission Optical Filter with Multi- FPR Structure for Dense Wavelength Division Multiplexing (DWDM) Communication System

“…(2). [11] The repeated application of the matrix F takes us to the right-most layer. For example, in Fig.…”

“…Similarly, the left/right band edges in frequency are f 1 = c/ λ 1 and f 2 = c/ λ 2 as given by [14] f 1 = , f 2 = ... (10) Noting that from the relationships among the inverse trigonometric functions : Similarly, the center of the reflecting band fc = (f1 + f2)/2 is given by [11] = …. ( 14)…”

“…Indeed, noting that at λ 0 the combinations LL and HH( two layer of high index material) are half-wave or absentee layers and can be deleted resulting in the successive reductions . [11] (HL) N L(HL) N → (HL )(N−1) HLLHL(HL) N−1 → (HL) (N−1) HHL(HL) (N−1) → (HL) (N−1) L(HL) (N−1) Thus, the number of the HL layers can be successively reduced, eventually resulting in the equivalent layer L (at λ 0 ): [11] (HL…”

“…In order to see the center peaks in clearly form and calculate the value of δλ easily , the above simulation must be taken again in more suitable scale , as shown clearly in From Figure (8) it can be seen that the transmission band is now flatter but exhibits some ripples. To get rid of the ripples, the length of the middle FPR must be slightly increased.…”

“…[2] HOTF can be used to achieve the broader reflection less notches and in the design of thin-film antireflection coatings, dielectric mirrors, and optical interference filters [3,4,5,6], and in the design of broadband terminations of transmission lines. They are also used in the analysis, synthesis, and simulation of fiber Bragg gratings [7,8,9], in the design of narrow-band transmission filters for wavelength-division multiplexing (WDM), and in other fiber-optic signal processing systems [10]. In this paper, we proposed the mathematical modeling of multi-FPR structure .…”