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The coupled mode equation describing the propagation of light in a disordered waveguide system composed of randomly different cores in size is analytically solved by the perturbation method and the average amplitude of light is derived. In the summation of a perturbation series only successive scatterings from different cores are taken into account. The result obtained shows that the average amplitude behaves as if in an ordered waveguide system composed of identical cores at short distance and decreases exponentially with increasing distance at large distance. The result is compared with the result obtained by the coherent potential approximation and the both results are in good agreement with each other. The results are also compared with the results obtained by numerically solving the coupled mode equation.

- Publication
- IEICE TRANSACTIONS on Electronics Vol.E93-C No.1 pp.46-51

- Publication Date
- 2010/01/01

- Publicized

- Online ISSN
- 1745-1353

- DOI
- 10.1587/transele.E93.C.46

- Type of Manuscript
- Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)

- Category

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Akira KOMIYAMA, "Propagation of Light in a Disordered Waveguide System: Average Amplitude" in IEICE TRANSACTIONS on Electronics,
vol. E93-C, no. 1, pp. 46-51, January 2010, doi: 10.1587/transele.E93.C.46.

Abstract: The coupled mode equation describing the propagation of light in a disordered waveguide system composed of randomly different cores in size is analytically solved by the perturbation method and the average amplitude of light is derived. In the summation of a perturbation series only successive scatterings from different cores are taken into account. The result obtained shows that the average amplitude behaves as if in an ordered waveguide system composed of identical cores at short distance and decreases exponentially with increasing distance at large distance. The result is compared with the result obtained by the coherent potential approximation and the both results are in good agreement with each other. The results are also compared with the results obtained by numerically solving the coupled mode equation.

URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E93.C.46/_p

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@ARTICLE{e93-c_1_46,

author={Akira KOMIYAMA, },

journal={IEICE TRANSACTIONS on Electronics},

title={Propagation of Light in a Disordered Waveguide System: Average Amplitude},

year={2010},

volume={E93-C},

number={1},

pages={46-51},

abstract={The coupled mode equation describing the propagation of light in a disordered waveguide system composed of randomly different cores in size is analytically solved by the perturbation method and the average amplitude of light is derived. In the summation of a perturbation series only successive scatterings from different cores are taken into account. The result obtained shows that the average amplitude behaves as if in an ordered waveguide system composed of identical cores at short distance and decreases exponentially with increasing distance at large distance. The result is compared with the result obtained by the coherent potential approximation and the both results are in good agreement with each other. The results are also compared with the results obtained by numerically solving the coupled mode equation.},

keywords={},

doi={10.1587/transele.E93.C.46},

ISSN={1745-1353},

month={January},}

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TY - JOUR

TI - Propagation of Light in a Disordered Waveguide System: Average Amplitude

T2 - IEICE TRANSACTIONS on Electronics

SP - 46

EP - 51

AU - Akira KOMIYAMA

PY - 2010

DO - 10.1587/transele.E93.C.46

JO - IEICE TRANSACTIONS on Electronics

SN - 1745-1353

VL - E93-C

IS - 1

JA - IEICE TRANSACTIONS on Electronics

Y1 - January 2010

AB - The coupled mode equation describing the propagation of light in a disordered waveguide system composed of randomly different cores in size is analytically solved by the perturbation method and the average amplitude of light is derived. In the summation of a perturbation series only successive scatterings from different cores are taken into account. The result obtained shows that the average amplitude behaves as if in an ordered waveguide system composed of identical cores at short distance and decreases exponentially with increasing distance at large distance. The result is compared with the result obtained by the coherent potential approximation and the both results are in good agreement with each other. The results are also compared with the results obtained by numerically solving the coupled mode equation.

ER -