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Understanding formation of photonic bandgap edge for maximum propagation angle in all-solid photonic bandgap fibers
| Title: | Understanding formation of photonic bandgap edge for maximum propagation angle in all-solid photonic bandgap fibers |
| Authors: | Murao, Tadashi Browse this author | | Nagao, Koyuru Browse this author | | Saitoh, Kunimasa Browse this author | | Koshiba, Masanori Browse this author |
| Issue Date: | 1-Mar-2011 |
| Publisher: | Optical Society of America |
| Journal Title: | Journal of the Optical Society of America B : Optical Physics |
| Volume: | 28 |
| Issue: | 3 |
| Start Page: | 453 |
| End Page: | 461 |
| Publisher DOI: | 10.1364/JOSAB.28.000453 |
| Abstract: | We propose a simple formula that gives the effective refractive index of the first-order photonic bandgap (PBG) edge for the maximum propagation angle, which corresponds to the PBG floor in all-solid photonic bandgap fibers (PBGFs). In particular, based on an antiresonant reflecting optical waveguide (ARROW) theory incorporating a phase relation between resonant modes in low-index regions for perpendicular direction of the light propagation, we show that the effective index of the PBG edge at a wavelength does not depend on the diameter and refractive index of high-index rods, and is largely determined only by the pitch when normalized rod diameters are small. In other words, it has a constant value for the structural parameters with which the PBG emerges at the same wavelength normalized by the pitch. Moreover, the source of rod-diameter and refractive-index dependences on the condition for the formation of the PBG edge is demonstrated when the diameter and the refractive index of high-index rods are effectively large. Finally, the validity of the proposed simple formula, which can be applied for any structural parameters, is verified with the vectorial solver based on the finite-element method (FEM). |
| Rights: | © 2011 Optical Society of America |
| Type: | article |
| URI: | http://hdl.handle.net/2115/45024 |
| Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 小柴 正則
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