Analysis of single mode inhomogeneous planar waveguides

Mishra, Prasanna K.; Sharma, Anurag

doi:10.1109/jlt.1986.1074699

Cited by 36 publications

(14 citation statements)

References 30 publications

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“…As the separation width of the plates increases, the phase constants for the parallel-plate waveguide bounded by electric or magnetic walls converges to the value for the corresponding unbounded structure given in Ref. 10. In general.…”

Section: Ill the Step Discontinuitysupporting

confidence: 53%

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<title>Modal analysis of discontinuities in diffused optical waveguides</title>

Weisshaar

Tripathi

1992

SPIE Proceedings

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The modal solutions of an arbitrary graded-index dielectric slab waveguide have been derived by applying the generalized telegraphist's equations to the equivalent inhomogeneous parallel-plate waveguide model with electric or magnetic walls. These solutions have been employed in a mode-matching procedure to calculate the transmission properties of step discontinuities in diffused optical waveguides having exponential, Gaussian and complementary error-function index profiles. For slab waveguides contaming an abrupt offset, the radiated power is found to increase smoothly with increasing displacement. Power loss calculations for an abrupt change in the diffusion depth show a sharp transition from almost zero loss to nearly total radiation loss in the vicinity of the cutoff wavelength associated with the dominant mode.

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Section: Ill the Step Discontinuitysupporting

confidence: 53%

“…In the following, the refractive index parameters are taken as n = 1, nb = 2.177, and Ln = 0.043 in agreement with Ref. 10. Figure 3 shows the normalized phase constant B as a function of plate separation for the dominant TE mode in a dielectric slab waveguide with exponential index profile.…”

Section: Ill the Step Discontinuitymentioning

confidence: 99%

<title>Modal analysis of discontinuities in diffused optical waveguides</title>

Weisshaar

Tripathi

1992

SPIE Proceedings

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“…In some cases, as identified in the tables, results were taken from other works [4], [9]. In each case, the percent error is given for easy reference.…”

Section: Numerical Resultsmentioning

confidence: 99%

Improved variational analysis of inhomogeneous optical waveguides using Airy functions

Goyal

Gallawa

Ghatak

1993

J. Lightwave Technol.

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Abstruct-Variational trial fields that are based on modified Airy functions are proposed to obtain the propagation characteristics of inhomogeneous planar optical waveguides. We compare with other recently proposed trial fields to demonstrate the improved accuracy obtained thmugh the use of these Airy function trial fields. The probable reason that the proposed fields are better suited than others is that, unlike the others, they depend on the prome shape. The argument of the Airy funetion trial field is also sensitive to the rate of change of the p M e . The fields are thus better matched to the exact field, improving the variational results.

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“…According to the phenomenon that there are no power conversions among the guided modes, which are mutually orthogonal in a perfect waveguide, it is possible to approximate the guided modes by considering linear combinations of several mutually orthogonal elementary functions with some variational parameters (Mishra et al 1985). Analysis and discussion about several kinds of trial solutions have been proposed (Zhu et al 1992a;Chao et al 1994;Mishra and Sharma 1986;Keil and Auracher 1979). These trial solutions with more than two parameters can better describe the practical field distribution by considering evanescent fields and the results are very close to the exact values and more accurate than the HG trial function.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…These trial solutions with more than two parameters can better describe the practical field distribution by considering evanescent fields and the results are very close to the exact values and more accurate than the HG trial function. Nonetheless, this adds the difficulty in calculation (Mishra and Sharma 1986). Additionally, for the diffused channel waveguide, it has been experimentally found that the profile of the fundamental mode is to be a good approximation Gaussian function in width and HG functions in depth (Keil and Auracher 1979).…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Research on the influence of fabrication parameters on the performance of buried ion-exchanged glass waveguides using the variational method

et al. 2007

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The variational method is proposed to analyze the influence of the fabrication parameters on the performance of buried K + -Na + ion-exchanged Er 3+ -Yb 3+ ions co-doped glass waveguide. The unknown parameters of the Hermite-Gaussian functions as the trial field distribution are determined based on the scalar variational principle. It is demonstrated that the results calculated in this paper agree with those measured in the experiment. The mode dimensions, the effective refractive index, and the overlap factor as the functions of the fabrication parameters are investigated. These results of the variational analysis are useful for the design and optimization of Er 3+ -Yb 3+ ions co-doped waveguides.

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Analysis of single mode inhomogeneous planar waveguides

Cited by 36 publications

References 30 publications

<title>Modal analysis of discontinuities in diffused optical waveguides</title>

<title>Modal analysis of discontinuities in diffused optical waveguides</title>

Improved variational analysis of inhomogeneous optical waveguides using Airy functions

Research on the influence of fabrication parameters on the performance of buried ion-exchanged glass waveguides using the variational method

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