Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonics
Presented here is a new approximate Analytical solution for guided modes of one-dimensional arrays of identical rectangular dielectric waveguides and phased laser arrays (including, but not limited to one-dimensional photonic crystals). The well-known concept of an Analytical solution for a single r...
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Elsevier
2025-08-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025021061 |
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| author | Inon Sarusi Vladislav Shteeman |
| author_facet | Inon Sarusi Vladislav Shteeman |
| author_sort | Inon Sarusi |
| collection | DOAJ |
| description | Presented here is a new approximate Analytical solution for guided modes of one-dimensional arrays of identical rectangular dielectric waveguides and phased laser arrays (including, but not limited to one-dimensional photonic crystals). The well-known concept of an Analytical solution for a single rectangular step-index waveguide, based on separation of variables, has been modified and extended to the case of one-dimensional photonic arrays of identical waveguides. This approach proposes an analytical description of a full set of array modes, or supermodes (i.e., guided modes of a multiwaveguide system), in arrays of coupled strip-, embedded strip-, buried, strip-loaded-, rib-, inverted rib-, etc. waveguides of rectangular geometry, incorporating an arbitrary number of individual devices. It is applicable not only to step-index waveguides (as in the case of the existing Analytical solution for a single waveguide), but also to their graded-index counterparts. In practical computations, this Approach is numerically stable. It can be useful for fast, accurate, and comprehensive analysis and design of the integrated photonics components mentioned above. The accuracy of the new Analytical approach is examined against the solution of the two-dimensional Helmholtz equation obtained with the Finite Difference scheme and against the Coupled-Mode Theory. |
| format | Article |
| id | doaj-art-bfd53455b7f245d8801cd5a1fbb08c88 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Elsevier |
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| series | Heliyon |
| spelling | doaj-art-bfd53455b7f245d8801cd5a1fbb08c882025-08-20T04:01:02ZengElsevierHeliyon2405-84402025-08-011113e4371710.1016/j.heliyon.2025.e43717Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonicsInon Sarusi0Vladislav Shteeman1Braude College of Engineering, Department of Electrical and Electronic Engineering, Karmiel, IsraelCorresponding author.; Braude College of Engineering, Department of Electrical and Electronic Engineering, Karmiel, IsraelPresented here is a new approximate Analytical solution for guided modes of one-dimensional arrays of identical rectangular dielectric waveguides and phased laser arrays (including, but not limited to one-dimensional photonic crystals). The well-known concept of an Analytical solution for a single rectangular step-index waveguide, based on separation of variables, has been modified and extended to the case of one-dimensional photonic arrays of identical waveguides. This approach proposes an analytical description of a full set of array modes, or supermodes (i.e., guided modes of a multiwaveguide system), in arrays of coupled strip-, embedded strip-, buried, strip-loaded-, rib-, inverted rib-, etc. waveguides of rectangular geometry, incorporating an arbitrary number of individual devices. It is applicable not only to step-index waveguides (as in the case of the existing Analytical solution for a single waveguide), but also to their graded-index counterparts. In practical computations, this Approach is numerically stable. It can be useful for fast, accurate, and comprehensive analysis and design of the integrated photonics components mentioned above. The accuracy of the new Analytical approach is examined against the solution of the two-dimensional Helmholtz equation obtained with the Finite Difference scheme and against the Coupled-Mode Theory.http://www.sciencedirect.com/science/article/pii/S2405844025021061Arrays of coupled rectangular waveguidesAnalytical solution for guided modesCoupled buried / ridge / rib / strip loaded rectangular waveguides |
| spellingShingle | Inon Sarusi Vladislav Shteeman Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonics Heliyon Arrays of coupled rectangular waveguides Analytical solution for guided modes Coupled buried / ridge / rib / strip loaded rectangular waveguides |
| title | Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonics |
| title_full | Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonics |
| title_fullStr | Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonics |
| title_full_unstemmed | Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonics |
| title_short | Approximate analytical solution for guided modes in one-dimensional arrays of identical dielectric rectangular waveguides for integrated photonics |
| title_sort | approximate analytical solution for guided modes in one dimensional arrays of identical dielectric rectangular waveguides for integrated photonics |
| topic | Arrays of coupled rectangular waveguides Analytical solution for guided modes Coupled buried / ridge / rib / strip loaded rectangular waveguides |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025021061 |
| work_keys_str_mv | AT inonsarusi approximateanalyticalsolutionforguidedmodesinonedimensionalarraysofidenticaldielectricrectangularwaveguidesforintegratedphotonics AT vladislavshteeman approximateanalyticalsolutionforguidedmodesinonedimensionalarraysofidenticaldielectricrectangularwaveguidesforintegratedphotonics |