Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition

1. A. F. Stevenson, “General theory of electromagnetic horns,” J. Appl. Phys. 22 (12), 1447 (1951).

   Article  MathSciNet  MATH  Google Scholar 

2. S. A. Schelkunoff, “Conversion of Maxwell’s equations into generalized telegraphist’s equations,” Bell Syst. Tech. J. 34, 995–1043 (1955).

   Article  MathSciNet  Google Scholar 

3. B. Z. Katsenelenbaum, Theory of Irregular Waveguides with Slowly Varying Parameters (Akad. Nauk SSSR, Moscow, 1961) [in Russian].

   Google Scholar 

4. B. Z. Katsenelenbaum, L. Mercader del Rio, M. Pereyaslavets, M. Sorolla Ayza, and M. Thumm, Theory of Nonuniform Waveguides: The Cross-Section Method (Inst. Eng. Technol., London, 1998).

   Book  MATH  Google Scholar 

5. V. V. Shevchenko, Continuous Transitions in Open Waveguides (Nauka, Moscow, 1969; Golem, Boulder, Colo., 1971).

6. A. G. Sveshnikov, “Approximate method for calculation of a weakly irregular waveguide,” Dokl. Akad. Nauk SSSR 80 (3), 345–347 (1956).

   Google Scholar 

7. A. G. Sveshnikov, “The basis for a method of calculating irregular waveguides,” USSR Comput. Math. Math. Phys. 3 (1), 219–232 (1963).

   Article  Google Scholar 

8. M. V. Fedoryuk, “A justification of the method of transverse sections for an acoustic wave guide with nonhomogeneous content,” USSR Comput. Math. Math. Phys. 13 (1), 162–173 (1973).

   Article  MathSciNet  Google Scholar 

9. A. A. Ivanov and V. V. Shevchenko, “A planar transversal junction of two planar waveguides,” J. Commun. Technol. Electron. 54, 63–72 (2009).

   Article  Google Scholar 

10. L. A. Sevastianov and A. A. Egorov, “Theoretical analysis of the waveguide propagation of electromagnetic waves in dielectric smoothly irregular integrated structures,” Opt. Spectrosc. 105 (4), 576–584 (2008).

    Article  Google Scholar 

11. A. A. Egorov and L. A. Sevastianov, “Structure of modes of a smoothly irregular integrated optical four-layer three-dimensional waveguide,” Quantum Electron. 39 (6), 566–574 (2009).

    Article  Google Scholar 

12. A. A. Egorov, K. P. Lovetskiy, A. L. Sevastianov, and L. A. Sevastianov, “Simulation of guided modes (eigenmodes) and synthesis of a thin-film generalised waveguide Luneburg lens in the zero-order vector approximation,” Quantum Electron. 40 (9), 830–836 (2010).

    Article  Google Scholar 

13. V. M. Babich and V. S. Buldyrev, Asymptotic Methods in Short-Wavelength Diffraction Theory (Nauka, Moscow, 1972; Alpha Science, Oxford, UK, 2008).

14. D. V. Divakov and A. L. Sevastianov, “The implementation of the symbolic-numerical method for finding the adiabatic waveguide modes of integrated optical waveguides in CAS Maple,” Lect. Notes Comput. Sci. 11661, 107–121 (2019).

    Article  MathSciNet  MATH  Google Scholar 

15. D. V. Divakov and A. A. Tyutyunnik, “Symbolic investigation of the spectral characteristics of guided modes in smoothly irregular waveguides,” Program. Comput. Software 48 (2), 80–89 (2022).

    Article  MathSciNet  MATH  Google Scholar 

16. M. J. Adams, An Introduction to Optical Waveguides (Wiley, New York, 1981).

    Google Scholar 

17. Maple homepage. https://www.maplesoft.com. Accessed May 24, 2022.

18. M. Gevorkyan, D. Kulyabov, K. Lovetskiy, L. Sevastianov, and A. Sevastianov, “Field calculation for the horn waveguide transition in the single-mode approximation of the cross-sections method,” Proc. SPIE 10337, 103370H (2017).

19. D. V. Divakov, K. P. Lovetskiy, L. A. Sevastianov, and A. A. Tiutiunnik, “A single-mode model of cross-sectional method in a smoothly irregular transition between planar thin-film dielectric waveguides,” Proc. SPIE, 11846, 118460T (2021).

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