A simple and accurate model analysis of strip-loaded optical waveguides with various index profiles

Abstract

A simple first-order perturbation approach has been developed to study the propagation characteristics of strip-loaded diffused waveguides with various refractive index profiles. Propagation constants of the guided modes of rib waveguides and strip-loaded waveguides with exponential and Gaussian refractive index profiles are obtained and it is observed that our results are in good agreement with the results reported in the literature using variational and numerical techniques. The technique also provides analytical expressions for the modal field profile that should be useful in the design of various integrated optical devices. , as an Alexander Von Humboldt Research Fellow in the field of fiber optics. He has 42 research papers to his credit. His current research interests are in the fields of fiber and integrated optics and fiber optic sensors.

Analysis of arbitrary index profile planar optical waveguides and multilayer nonlinear structures: a simple finite difference algorithm

“…In this regard application of several techniques such as effective index method (Knox and Toulious 1970), spectral index method (Robson and Kendall 1990), weighted index method (Robertson et al 1989), perturbation method (Varshney and Kumar 1988), collocation method (Sharma and Banerjee 1989) etc. are well known.…”

Efficient semivectorial mode solvers

“…For grid points near an interface, the coefficients are adapted according to the EIC's described in [37]. For grid points at a lateral boundary, adapted transparent boundary conditions are used, as described in (15). The computational advantage of the ADI method is the fact that the two matrix equations (16) and (17) are both tridiagonal matrix problems.…”

“…For this reason, in the IIM, an adapted form of Hadley's transparent boundary conditions, has to be used at grid points located at a lateral boundary. On solving the matrix equation (6), the values of at the boundaries are given as (15) for . The question which of the two IIM versions, (12) or (14), is to be preferred is strongly related to the ADI-matrix equation solver, to be discussed in Section II-C.…”

“…In many methods, the field is written as a product of two functions depending on one transverse coordinate only; the problem is solved analytically for these two fields and the solutions are combined. Wellknown methods are the effective index method (EIM) [12], [13] and the Marcatili method [14], but many similar methods have been developed [15], [16]. In many other methods, the 3-D problem is tackled by expressing the solution in terms of basis functions, which can be Hermite-Gauss basis functions or slab waveguide solutions [17], circular harmonics [18], sine functions [19], or a combination of the use of sine functions in one transverse direction and the FDBPM method for the other transverse direction [20].…”

A new semirigorous analysis of rib waveguides

“…They are not aimed at providing very accurate predictions, and indeed none of them can be considered as reliable for all the practical cases of interest. For instance, the effective index method is known to be accurate only if d2 is close to dl while the recent perturbation approach proposed in [3] yields precise results only when d2 << dl. This situation strongly contrasts with the rectangular waveguide theory where there now exists approximate approaches that nevertheless are accurate 141.…”