Intrinsic mode theory of tapered optical waveguides

Arnold, Jörg; Belghoraf, Abderrahmane; Dendane, A.

doi:10.1049/ip-j.1985.0060

Cited by 7 publications

(10 citation statements)

References 5 publications

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“…[7,12,13], but they follow a different approach than those used by Refs. [6,8,9], and the mathematical expression found is different.…”

mentioning

confidence: 88%

“…The concept of intrinsic modes was first used in acoustic underwater applications [4,5] , before its uses in integrated optics for the nonuniform structure [2,3,[6][7][8][9][10][11][12] . To assess with a great precision the radiation and the optical coupling occurring in non uniform optical waveguide, some modifications will be introduced to the mathematical model already established for the intrinsic integral [2,3,[6][7][8][9][10][11][12] . Intrinsic modes are solutions of Maxwell's equations, satisfying the boundary conditions at the interfaces between the different mediums [13] .…”

mentioning

confidence: 99%

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Numerical evaluation of radiation and optical coupling occurring in optical coupler

Bacha¹,

Belghoraf²

2017

Chin. Opt. Lett.

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We present in this work a new mathematical model to analyze and evaluate optical phenomena occurring in the nonuniform optical waveguide used in integrated optics as an optical coupler. By introducing some modifications to the intrinsic integral, we perfectly assess the radiation field present in the adjacent medium of the waveguide and, thus, follow the evolution of the optical coupling from the taper thin film to the substrate and cladding until there is a total energy transfer. The new model that is introduced can be used to evaluate electromagnetic field distribution in three mediums that constitute any nonuniform optical couplers presenting great or low wedge angles.

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“…[7,12,13], but they follow a different approach than those used by Refs. [6,8,9], and the mathematical expression found is different.…”

mentioning

confidence: 88%

mentioning

confidence: 99%

Numerical evaluation of radiation and optical coupling occurring in optical coupler

Bacha¹,

Belghoraf²

2017

Chin. Opt. Lett.

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show abstract

“…For these reasons, in our study, we will treat the general case, using the exact phase of Fresnell coefficient depending on refracted indexes of each medium (n g et n c ). Some papers [12,16,17] use the exact Fresnel coefficient to determine the intrinsic integral, but they follow a different approach from those used by [3,14,15,23].…”

Section: Analysis Of the Structure Of Tapered Optical Couplermentioning

confidence: 99%

“…The field distribution in the substrate and cladding is obtained by using the Fresnel transmission coefficient [11][12][13] at each interface in the modified intrinsic integral:…”

Section: Determination Of the New Expression Of The Modified Intrinsimentioning

confidence: 99%

“…The concept of intrinsic modes was first developed for the acoustic underwater applications [10,11], and for its importance and compatibility with the optical structure, it has been applied in integrated optics for the non-uniform structure [12][13][14][15][16][17]. Intrinsic modes are solutions of Maxwell's equations satisfying the boundaries conditions at the interfaces of the optical waveguide.…”

Section: Introductionmentioning

confidence: 99%

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Radiation Field and Optical Coupling Evaluation Using a New Mathematical Model

Bacha¹,

Belghoraf²

2016

PIER M

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Abstract-The mathematical model elaborated in this paper is based on the concept of intrinsic modes in order to analyze and synthesize optical wave propagation along a non-uniform optical structure which is used in integrated optics communication as tapered optical coupler. The new mathematical model is simply developed by introducing modifications to the intrinsic integral, and its numerical evaluation illustrates the electromagnetic field distribution inside a taper thin film and also outside the waveguide constituted by the substrate and the cladding of lower refractive index. The proposed method permits efficiently tracking the behaviour of the optical waves both inside and outside the optical waveguide, and quantifying the radiation and optical coupling occurring from the taper thin film of higher refractive index to adjacent mediums until a total energy transfer; this happens at thicknesses lower than waveguide cutoff thickness of each mode. The new model can be applied to all types of tapered optical coupler, made from different optical materials and having different wedge angles.

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Tapered polymer single-mode waveguides for mode transformation

Fan

Hooker

1999

J. Lightwave Technol.

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Intrinsic mode theory of tapered optical waveguides

Cited by 7 publications

References 5 publications

Numerical evaluation of radiation and optical coupling occurring in optical coupler

Numerical evaluation of radiation and optical coupling occurring in optical coupler

Radiation Field and Optical Coupling Evaluation Using a New Mathematical Model

Tapered polymer single-mode waveguides for mode transformation

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