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Journal ArticleDOI

Analysis of single mode inhomogeneous planar waveguides

TLDR
In this article, a new method for obtaining the propagation characteristics of single mode inhomogeneous planar waveguides is presented, based on the scalar variational principle and a new trial field-the cosine-exponential field-is proposed.
Abstract
A new method for obtaining the propagation characteristics of single mode inhomogeneous planar waveguides is presented. The method is based on the scalar variational principle and a new trial field-the cosine-exponential field-is proposed. A comparison with other methods and the exact numerical results shows that our method is much more accurate than the existing methods. The method also allows one to define an equivalent slab waveguide which is then used to obtain an accurate approximation for the propagation constant of the TM 0 -mode.

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Citations
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Journal ArticleDOI

Numerical analysis of planar optical waveguides using matrix approach

TL;DR: In this article, a simple matrix method for obtaining propagation characteristics, including losses for various modes of an arbitrarily graded planar waveguide structure which may have media of complex refractive indices, is presented.
Journal ArticleDOI

Bent planar waveguides and whispering gallery modes: a new method of analysis

TL;DR: In this article, a matrix method for analyzing bent planar optical waveguides is discussed, which is a modification of an earlier method which yields bend loss directly, inasmuch as a nonuniform refractive index is approximated by a series of linear profiles rather than a seriesof uniform profiles.
Journal ArticleDOI

Constant-width variable-index transition for efficient Ti:LiNbO 3 waveguide-fiber coupling

TL;DR: In this paper, a constant-width variable-index transition has been developed that allows for both low-loss fiber-waveguide coupling and efficient device operation on the same lithium niobate chip.
Journal ArticleDOI

Improved propagation-mode near-field method for refractive-index profiling of optical waveguides.

TL;DR: The improved method, which is valid for all relevant wavelength ranges, is demonstrated in the determination of the refractive-index profiles of two single-mode planar waveguides.
Journal ArticleDOI

Modal analysis of step discontinuities in graded-index dielectric slab waveguides

TL;DR: The modal solutions of the TE-and TM-modes 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 as mentioned in this paper.
References
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Journal ArticleDOI

Metal‐diffused optical waveguides in LiNbO3

TL;DR: In this article, a single-mode low-loss waveguide which confine the guided light to within ∼1 μm of the surface has been constructed using a single transition metal (Ti, V, and Ni).
Journal ArticleDOI

Optical waveguiding layers in LiNbO3 and LiTaO3

TL;DR: In this paper, positive refractive index layers in LiNbO3 and LiTaO3 have been produced by a novel out-diffusion technique, and the index profiles for a variety of conditions are measured directly with an interference microscope.
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Optical waveguides formed by thermal migration of ions in glass.

TL;DR: The ion-exchange process has proved to be a simple means for fabricating tapered-edge couplers and low loss films can be fabricated using this process and the modal losses in these films do not agree with those losses predicted by existing theories.
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Modes in diffused optical waveguides of arbitrary index profile

TL;DR: In this paper, a method for numerical calculation of the phase constants of the modes of diffused optical waveguides of arbitrary index profile is presented. But this method is not suitable for the case of Gaussian and exponential shapes.
Journal ArticleDOI

Finite Element Analysis Waveguides of Optical

TL;DR: In this article, a finite element program for the analysis of anisotropic optical waveguides is described and the appearance of spurious numerical modes, due to the fact that the functional is non-positive definite, is discussed and a possible solution to the problem is presented.
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