Transfer-matrix method based on a discrete coupling model for analyzing uniform and nonuniform codirectional fiber grating couplers

Abrishamian, Fatemeh; Morishita, K.

doi:10.1364/ao.51.002367

Cited by 7 publications

(2 citation statements)

References 15 publications

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“…and phase-mismatching is evaluated by ∆β = (β f − β s )/2. Then, from the well-known transfer matrix method for fiber gratings [30,31], the total transfer matrix of the coupler is calculated as…”

Section: Coupled-mode Formulasmentioning

confidence: 99%

Efficient excitation and phase matching of fiber-coupled degenerate whispering gallery modes

2019

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The ability of optical Whispering Gallery Mode (WGM) resonators to store energy in a very small volume for a long time enables their use in practical applications as low threshold lasers, high sensitivity sensors and tunable add-drop filters. In this paper, we express in detail the tapered fiber asymmetric coupling mechanism to multimode microsphere resonators in order to selectively-excite or collect WGMs. It is shown that due to close effective refractive indices of degenerate spherical WGMs, depending on the amount of phase-matching and overlap of fiber and resonator modes, a combination of WGMs with certain intrinsic losses are excited. By precisely designing the taper dimensions, critical-coupling to one or a group of modes can be satisfied. This paper, provides a general figure of merit for designing tapercoupled microresonators which can be employed in nonlinear optics and lasers in which the intra-cavity field distribution determines the characteristics of the device.

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Section: Coupled-mode Formulasmentioning

confidence: 99%

Efficient excitation and phase matching of fiber-coupled degenerate whispering gallery modes

2019

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“…LPFG devices with cosine-class apodizations are nonuniform. The existing methods available to analyze the apodized LPFGs are just only numerical methods, such as the transfer matrix (TM) [10,11], Runge-Kutta algorithm, Bloch wave, and electromagnetic scattering methods [12,13], etc. The TM method, which is based on the well-known coupled-mode theory, is the most often exploited and preferred.…”

Section: Introductionmentioning

confidence: 99%

Fast analyses and designs of long-period fiber grating devices with cosine-class apodizations by using Fourier mode coupling theory

Zeng

Wei

2013

Appl. Opt.

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This paper presents an analytical approach to fast analyzing and designing long-period fiber grating (LPFG) devices with cosine-class apodizations by using the Fourier mode coupling (FMC) theory. The LPFG devices include LPFGs, LPFG-based in-fiber Mach-Zehnder and Michelson interferometers, which are apodized with the cosine-class windows of cosine, raised-cosine, Hamming, and Blackman. The analytic models (AMs) of the apodized LPFG devices are derived from the FMC theory, which are compared with the preferred transfer matrix (TM) method to confirm their efficiencies and accuracies. The AM-based analyses are achieved and verified to be accurate and efficient enough. The AM-based analysis efficiency is improved over 1318 times versus the TM-based one. Based on the analytic models, an analytic design algorithm is proposed and then applied to designing these LPFG devices, which has the complexity of ON and is far faster than the existing design methods.

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Distributed strain sensing, employing apodized π-phase shifted FBG: Application in power transformer oil breakdown detection

Talebi

Soofi²

2022

Optik

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Transfer-matrix method based on a discrete coupling model for analyzing uniform and nonuniform codirectional fiber grating couplers

Cited by 7 publications

References 15 publications

Efficient excitation and phase matching of fiber-coupled degenerate whispering gallery modes

Efficient excitation and phase matching of fiber-coupled degenerate whispering gallery modes

Fast analyses and designs of long-period fiber grating devices with cosine-class apodizations by using Fourier mode coupling theory

Distributed strain sensing, employing apodized π-phase shifted FBG: Application in power transformer oil breakdown detection

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