Variational Analysis of Ridge-type Ti:LiNbO3 Waveguides by a Heuristic Algorithm

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Two common trial functions used in the variational method to solve the waveguiding modes of Ti:LiNbO 3 channel waveguides are compared in this paper. The first one has four parameters and the other has just two. The respective modal-field profiles described by them, as well as the respective fiber-to-waveguide coupling efficiencies estimated by these models, are rather different. We propose a self-consistent concept to examine the qualities of the trial fields and then show that the two-parameter model is better.

“…And hence two types of trial functions are commonly selected to describe the fundamental mode. The first one is a four-parameter model as [2][3][4][5][6] …”

Section: Journal Of Optical Communicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Comparison of Commonly-used Trial Functions in the Variational Analysis of Ti:LiNbO3 Channel Waveguides

Lee¹,

Lin²,

Chen³

et al. 1999

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“…The stationary solution φ (x,y) of the above variational equation should fulfill 3β 2 = 0 and make β 2 approach the upper limit [6], so we can obtain it by some optimization techniques. Usually, an appropriate trial function for the fundamental mode of the Ti-diffused waveguide is expressed by the product of two normalized functions as follows [5,7] where…”

Section: Description Of the Problemmentioning

confidence: 99%

“…This trial function can describe the horizontal symmetry and the vertical asymmetry of the fundamental mode. Substituting (3a)-(3c) into the functional (2), β 2 becomes dependent on a,, a 2 , a 3 , and d. And hence, the four parameters can be determined by the SOS algorithm with 9 points as described in [5]. This algorithm is simpler than the Ritz method [7] and the simplex method [8].…”

Section: Description Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Theoretical Analysis of Ridge-type Ti:LiNbO3 Waveguides with Trapezodial Cross Sections

Lee¹,

Sze²,

Hsieh³

et al. 1997

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A Novel Method of Assessing Trial Modes of Dielectric Rectangular Waveguides

Lee¹,

Wu²,

Lin³

et al. 1999

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In this paper, we employ a comprehensible self-consistent concept to assess two commonly-used functions for representing modal fields of dielectric rectangular waveguides. The method can be used instead of the more complicated experimental processes or other tedious numerical calculations. According to this concept, we can show that the composite Gaussian-Lorentzian function is a better candidate for modeling the waveguiding mode in case of thinner rectangular core region.