Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems

Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

“…This discretization appears to be ne enough to ensure the computation of the guided modes with a high accuracy level [74] [ 75].…”

“…To this end, we employ the direct solver developed in references [74] [75]. This solver requires to rst reformulating EVP 14 in a bounded domain (see Figure 4(a)) as follows:…”

“…The measured guided modes corresponding to the target index prole are the rst three modes LP 01 , LP 11 , and LP 02 [56] [58]. The values of the corresponding propagation constants were obtained with the nite element solver [74] [75], and are given by:…”

Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

“…This discretization appears to be ne enough to ensure the computation of the guided modes with a high accuracy level [74] [ 75].…”

“…To this end, we employ the direct solver developed in references [74] [75]. This solver requires to rst reformulating EVP 14 in a bounded domain (see Figure 4(a)) as follows:…”

“…The measured guided modes corresponding to the target index prole are the rst three modes LP 01 , LP 11 , and LP 02 [56] [58]. The values of the corresponding propagation constants were obtained with the nite element solver [74] [75], and are given by:…”

Improved multimodal methods for the acoustic propagation in waveguides with finite wall impedance

“…1). This impedance condition, also referred as Robin condition [1][2][3][4][5], is of practical interest, since it describes non perfectly reflecting surfaces or absorbing materials at a waveguide wall. Limiting cases are the Neumann boundary condition Z = ∞ and the Dirichlet boundary condition Z = 0.…”

Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

“…This discretization appears to be ne enough to ensure the computation of the guided modes with a high accuracy level [74] [ 75].…”

“…To this end, we employ the direct solver developed in references [74] [75]. This solver requires to rst reformulating EVP 14 in a bounded domain (see Figure 4(a)) as follows:…”

“…The measured guided modes corresponding to the target index prole are the rst three modes LP 01 , LP 11 , and LP 02 [56] [58]. The values of the corresponding propagation constants were obtained with the nite element solver [74] [75], and are given by:…”

Improved multimodal methods for the acoustic propagation in waveguides with finite wall impedance

“…1). This impedance condition, also referred as Robin condition [1][2][3][4][5], is of practical interest, since it describes non perfectly reflecting surfaces or absorbing materials at a waveguide wall. Limiting cases are the Neumann boundary condition Z = ∞ and the Dirichlet boundary condition Z = 0.…”

Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

“…This discretization appears to be ne enough to ensure the computation of the guided modes with a high accuracy level [74] [ 75].…”

“…To this end, we employ the direct solver developed in references [74] [75]. This solver requires to rst reformulating EVP 14 in a bounded domain (see Figure 4(a)) as follows:…”

“…The measured guided modes corresponding to the target index prole are the rst three modes LP 01 , LP 11 , and LP 02 [56] [58]. The values of the corresponding propagation constants were obtained with the nite element solver [74] [75], and are given by:…”

Improved multimodal methods for the acoustic propagation in waveguides with finite wall impedance

“…1). This impedance condition, also referred as Robin condition [1][2][3][4][5], is of practical interest, since it describes non perfectly reflecting surfaces or absorbing materials at a waveguide wall. Limiting cases are the Neumann boundary condition Z = ∞ and the Dirichlet boundary condition Z = 0.…”