Search search
Publication Date
to
Vol. 4
Latest Volume
All Volumes
PIERB 118 PIERB 117 PIERB 116 PIERB 115 PIERB 114 PIERB 113 PIERB 112 PIERB 111 PIERB 110 PIERB 109 PIERB 108 PIERB 107 PIERB 106 PIERB 105 PIERB 104 PIERB 103 PIERB 102 PIERB 101 PIERB 100 PIERB 99 PIERB 98 PIERB 97 PIERB 96 PIERB 95 PIERB 94 PIERB 93 PIERB 92 PIERB 91 PIERB 90 PIERB 89 PIERB 88 PIERB 87 PIERB 86 PIERB 85 PIERB 84 PIERB 83 PIERB 82 PIERB 81 PIERB 80 PIERB 79 PIERB 78 PIERB 77 PIERB 76 PIERB 75 PIERB 74 PIERB 73 PIERB 72 PIERB 71 PIERB 70 PIERB 69 PIERB 68 PIERB 67 PIERB 66 PIERB 65 PIERB 64 PIERB 63 PIERB 62 PIERB 61 PIERB 60 PIERB 59 PIERB 58 PIERB 57 PIERB 56 PIERB 55 PIERB 54 PIERB 53 PIERB 52 PIERB 51 PIERB 50 PIERB 49 PIERB 48 PIERB 47 PIERB 46 PIERB 45 PIERB 44 PIERB 43 PIERB 42 PIERB 41 PIERB 40 PIERB 39 PIERB 38 PIERB 37 PIERB 36 PIERB 35 PIERB 34 PIERB 33 PIERB 32 PIERB 31 PIERB 30 PIERB 29 PIERB 28 PIERB 27 PIERB 26 PIERB 25 PIERB 24 PIERB 23 PIERB 22 PIERB 21 PIERB 20 PIERB 19 PIERB 18 PIERB 17 PIERB 16 PIERB 15 PIERB 14 PIERB 13 PIERB 12 PIERB 11 PIERB 10 PIERB 9 PIERB 8 PIERB 7 PIERB 6 PIERB 5 PIERB 4 PIERB 3 PIERB 2 PIERB 1
All Journals
PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2008-01-26
Asymptotic Iteration Method: A Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides
By
Ali Rostami,

    Prof. Ali Rostami

    Faculty of Electrical and Computer Engineering

    University of Tabriz

    Iran

    Homepage

Hossein Motavali

    Dr. Hossein Motavali

    University of Tabriz

    Iran

    Homepage

Progress In Electromagnetics Research B, Vol. 4, 171-182, 2008
doi:10.2528/PIERB08011701 | Google Scholar

Abstract
In this paper a novel approach based on Asymptotic Iteration Method (AIM) is presented to solve analytically the light propagation through one-dimensional inhomogeneous slab waveguide. Practically implemented optical slab waveguides based on traditional techniques are usually inhomogeneous and numerical methods are used to obtain guided wave characteristics. In this work, we develop analytical method for modal analysis includes Eigen modes (electric and magnetic fields distribution) and Eigen values (guided wave vector) using AIM. The developed method is applied to some especial examples.
Download Full Article (314) View Full Article volume
Citation
Ali Rostami, and Hossein Motavali, "Asymptotic Iteration Method: A Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides," Progress In Electromagnetics Research B, Vol. 4, 171-182, 2008.
doi:10.2528/PIERB08011701
References

1. Motavali, H. and A. Rostami, "Exactly modal analysis of inhomogeneous slab waveguide using Nikiforov-Uvarov method," Journal of Electromagnetic Waves and Applications, Vol. 22, 681, 2008.
doi:10.1163/156939308784159507        Google Scholar

2. Nikiforov, A. F. and V. B. Uvarov, Special Functions of Mathematical Physics, Birkhauser, 1988.

3. Egrifes, H. and R. Sever, "Bound state of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method," Phys. Lett. A, Vol. 344, 117, 2005.
doi:10.1016/j.physleta.2005.06.061        Google Scholar

4. Aktas, M. and R. Sever, "Exact supersymmetric solution of Schrodinger equation for central confining potentials by using the Nikiforov-Uvarov method," J. Mol. Struct. (Theochem), Vol. 710, 223, 2004.
doi:10.1016/j.theochem.2004.09.011        Google Scholar

5. Berkdemir, C., A. Berkdemir, and R. Sever, "Systematical approach to the exact solutions of the Dirac equation for a deformed form of the Woods-Saxon potential," J. Phys. A: Math. Gen., Vol. 39, 13455, 2006.
doi:10.1088/0305-4470/39/43/005        Google Scholar

6. Yasuk, F., A. Durmus, and I. Boztosun, "Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials," J. Math. Phys., Vol. 47, 082302, 2006.
doi:10.1063/1.2227258        Google Scholar

7. Simsek, M. and H. Egrifes, "The Klein-Gordon equation for the generalized Hulthen potential in complex quantum mechanics," J. Phys. A: Math. Gen., Vol. 37, 4379, 2004.
doi:10.1088/0305-4470/37/15/007        Google Scholar

8. Ciftci, H., R. L. Hall, and N. Saad, "Asymptotic iteration method for eigenvalue problems," J. Phys. A: Math. Gen., Vol. 36, 11807, 2003.
doi:10.1088/0305-4470/36/47/008        Google Scholar

9. Ciftci, H., R. L. Hall, and N. Saad, "Perturbation theory in a framework of iteration methods," Phys. Lett. A, Vol. 346, 381, 2005.
doi:10.1016/j.physleta.2005.08.090        Google Scholar

10. Bender, C. M. and Q. Wang, "A class of exactly-solvable eigenvalue problems," J. Phys. A, Vol. 34, 9835, 2001.
doi:10.1088/0305-4470/34/46/307        Google Scholar

11. Bayrak, O. and I. Boztosun, "Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method," J. Phys. A: Math. Gen., Vol. 39, 6955, 2006.
doi:10.1016/j.theochem.2006.09.006        Google Scholar

12. Bayrak, O and I. Boztosun, "Analytical solution to the Hulthen and Morse potentials by using the asymptotic iteration method," J. Mol. Struct. (Theochem), Vol. 802, 17, 2007.
doi:10.1142/S0218301306004788        Google Scholar

13. Durmus, A., F. Yasuk, and I. Boztosun, "Exact analytical solution of the Kline-Gordon equation for the pionic atom by asymptotic iteration method," Int. J. Mod. Phys. E (IJMPE), Vol. 15, 1243, 2006.        Google Scholar

14. Rostami, A. and S. K. Moayedi, "Exact solution for light propagation through inhomogeneous media," Indian J. Phys. B, Vol. 75, 357, 2001.
doi:10.1088/1464-4258/5/4/313        Google Scholar

15. Rostami, A. and S. K. Moayedi, "TM mode in inhomogeneous slab waveguide as an exactly solvable oscillator-like Hamiltonian," J. Opt. A: Pure and Applied Optics, Vol. 5, 380, 2003.
doi:10.1140/epjb/e2003-00354-5        Google Scholar

16. Moayedi, S. K. and A. Rostami, "PT-invariant Helmholtz optics and its applications to slab waveguides," Eur. Phys. J. B, Vol. 36, 359, 2003.        Google Scholar

17. Rostami, A. and S. K. Moayedi, "Exactly modal analysis of inhomogeneous slab waveguides using similarity transformed harmonic-oscillator algebra," IL Nuovo Cimento B, Vol. 120, 285, 2005.        Google Scholar

18. Moayedi, S. K. and A. Rostami, "Exact treatment of light in inhomogeneous slab waveguides using supersymmetric quantum mechanics," IL Nuovo Cimento B, Vol. 118, 729, 2003.
doi:10.2528/PIER07071905        Google Scholar

19. Liu, S. H., C. H. Liang, W. Ding, L. Chen, and W. T. Pan, "Electromagnetic wave propagation through a slab waveguide of uniaxially anisotropic dispersive metamaterial," Progress In Electromagnetics Research, Vol. 76, 467-475, 2007.
doi:10.2528/PIER06021802        Google Scholar

20. Wang, Z. J. and J. F. Dong, "Analysis of guided modes in asymmetric left-handed slab waveguides," Progress In Electromagnetics Research, Vol. 62, 203-215, 2006.
doi:10.2528/PIER06071101        Google Scholar

21. Singh, V., Y. Prajapati, and J. P. Saini, "Modal analysis and dispersion curves of a new unconventional Bragg waveguide using a very simple method," Progress In Electromagnetics Research, Vol. 64, 191-204, 2006.
doi:10.2528/PIER05110602        Google Scholar

22. Attiya, A. M. and A. A. Kishk, "Modal analysis of a two-dimensional dielectric grating slab excited by an obliquely incident plane wave," Progress In Electromagnetics Research, Vol. 60, 221-243, 2006.
doi:10.2528/PIER03081801        Google Scholar

23. Hu, F. G., C. F. Wang, Y. Xu, and Y. B. Gan, "Modal method analysis of multilayered coated circular waveguide using a modified characteristic equation," Progress In Electromagnetics Research, Vol. 45, 243-262, 2004.
doi:10.2528/PIER99052501        Google Scholar

24. Liu, S., L. W. Li, M. S. Leong, and T. S. Yeo, "Rectangular conducting waveguide filled with uniaxial anisotropic media: A modal analysis and dyadic Green’s function," Progress In Electromagnetics Research, Vol. 25, 111-129, 2000.
doi:10.1016/j.cplett.2005.10.039        Google Scholar

25. Berkdemir, A., C. Berkdemir, and J. Han, "Bound state solutions of the Schr¨odinger equation for modified Kratzer’s molecular potential," Chem. Phys. Lett., Vol. 417, 2006.
doi:10.2528/PIERB07121303        Google Scholar

26. Hatamzadeh-Varmazyar, S. and M. Naser-Moghadasi, "New numerical method for determining the scattered electromagnetic fields from thin wires," Progress In Electromagnetics Research B, Vol. 3, 207-218, 2008.
doi:10.2528/PIER07122601        Google Scholar

27. Banai, A. and A. Hashemi, "A hybrid multimode contour integral method for analysis of the H-plane waveguide discontinuties," Progress In Electromagnetics Research, Vol. 81, 167-182, 2008.
doi:10.2528/PIER08010303        Google Scholar

28. Ho, M., F.-S. Lai, S.-W. Tan, and P.-W. Chen, "Numerical simulation of propagation of EM pulse through lossless non-uniform dielectric slab using characteristic-based method," Progress In Electromagnetics Research, Vol. 81, 197-212, 2008.
doi:10.2528/PIER07103105        Google Scholar

29. Collino, F., F. Millot, and S. Pernet, "Boundary-integral methods for iterative solution of scattering problems with variable impedance surface condition," Progress In Electromagnetics Research, Vol. 80, 1-28, 2008.
doi:10.2528/PIER07100802        Google Scholar

30. Carpentieri, B., "Fast iterative solution Methods in electromagnetic scattering," Progress In Electromagnetics Research, Vol. 79, 151-178, 2008.
doi:10.2528/PIER06071101        Google Scholar

31. Singh, V., Y. Prajapati, and J. P. Saini, "Modal analysis and dispersion curves of a new unconventional Bragg waveguide using a very simple method," Progress In Electromagnetics Research, Vol. 64, 191-204, 2006.
doi:10.2528/PIER07030802        Google Scholar

32. Khalaj-Amirhosseini, M., "Analysis of lossy inhomogeneous planar layers using equivalent sources method," Progress In Electromagnetics Research, Vol. 72, 61-73, 2007.
doi:10.2528/PIER07030806        Google Scholar

33. Berginc, G. and C. Bourrely, "The small-slope approximation method applied to a three-dimensional slab with rough boundaries," Progress In Electromagnetics Research, Vol. 73, 131-211, 2007.
doi:10.2528/PIERB07103002        Google Scholar

34. Kazemi, S., H. R. Hassani, G. Dadashzadeh, and F. Geran, "Performance improvement in amplitude synthesis of unequally spaced array using least mean square method," Progress In Electromagnetics Research B, Vol. 1, 135-145, 2008.
doi:10.2528/PIERL07111902        Google Scholar

35. Samuel, E. P. and D. S. Patil, "Analysis of wavefunction distribution in quantum well biased laser diode using transfer matrix method," Progress In Electromagnetics Research Letters, Vol. 1, 119-128, 2008.        Google Scholar

Download Full Article (314) View Full Article volume


The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.