Search
This Journal
This Journal
Anywhere
Quick Search in Journals
Enter words / phrases / DOI / ISBN / keywords / authors / etc
Access type:Only show content I have full access toOnly show Open Access
Advanced Search
0 My Cart
Sign in
Institutional Access

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

No Access

ANALYSIS OF OPTICAL WAVEGUIDES WITH ARBITRARY INDEX PROFILE USING AN IMMERSED INTERFACE METHOD

THEODOROS P. HORIKIS

THEODOROS P. HORIKIS

Department of Mathematics, University of Ioannina, Ioannina 45110, Greece

Search for more papers by this author

https://doi.org/10.1142/S0129183111016543Cited by:5 (Source: Crossref)

Abstract

A numerical technique is described that can efficiently compute solutions of interface problems. These are problems with data, such as the coefficients of differential equations, discontinuous or even singular across one or more interfaces. A prime example of these problems are optical waveguides, and as such the scheme is applied to Maxwell's equations as they are formulated to describe light confinement in Bragg fibers. It is based on standard finite differences appropriately modified to take into account all possible discontinuities across the waveguide's interfaces due to the change of the refractive index. Second- and fourth-order schemes are described with additional adaptations to handle matrix eigenvalue problems, demanding geometries and defects.

Keywords:

PACS: 02.70.Bf, 02.60.Lj, 02.60.Cb, 42.81.Qb, 41.20.Jb

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

P. Yeh, A. Yariv and E. Marom, J. Opt. Soc. Am. 68, 1196 (1978), DOI: 10.1364/JOSA.68.001196. Web of Science, ADS, Google Scholar
Y. Finket al., Science 282, 1679 (1998), DOI: 10.1126/science.282.5394.1679. Web of Science, ADS, Google Scholar
B. Temelkuranet al., Nature 420, 650 (2002), DOI: 10.1038/nature01275. Web of Science, ADS, Google Scholar
M. Ibanescuet al., Science 289, 415 (2000), DOI: 10.1126/science.289.5478.415. Web of Science, ADS, Google Scholar
S. G. Johnsonet al., Opt. Express 9, 748 (2001), DOI: 10.1364/OE.9.000748. Web of Science, ADS, Google Scholar
Z. Li, Taiwanese J. Math. 7, 1 (2003). Web of Science, Google Scholar
Y. Xu, R. K. Lee and A. Yariv, Opt. Lett. 25, 1756 (2000), DOI: 10.1364/OL.25.001756. Web of Science, ADS, Google Scholar
S. Guo and S. Albin, Opt. Express 12, 198 (2004), DOI: 10.1364/OPEX.12.000198. Web of Science, ADS, Google Scholar
M. Eguchi and S. Horinouchi, Opt. Lett. 29, 1051 (2004), DOI: 10.1364/OL.29.001051. Web of Science, Google Scholar
M. Eguchi, J. Opt. Soc. Am. B 27, 1464 (2010), DOI: 10.1364/JOSAB.27.001464. Web of Science, ADS, Google Scholar
T. Kawanishi and M. Izutsu, Opt. Express 7, 10 (2000), DOI: 10.1364/OE.7.000010. Web of Science, ADS, Google Scholar
J. Sakai and P. Nouchi, Opt. Commun. 249, 153 (2005), DOI: 10.1016/j.optcom.2005.01.006. Web of Science, ADS, Google Scholar
S. Guoet al., Opt. Lett. 29, 32 (2004), DOI: 10.1364/OL.29.000032. Web of Science, ADS, Google Scholar
S. Barai and A. Sharma, J. Opt. Soc. Am. A 26, 931 (2009), DOI: 10.1364/JOSAA.26.000931. ADS, Google Scholar
M. Mendoza and J. D. Muñoz, Phys. Rev. E 82, 056708 (2010), DOI: 10.1103/PhysRevE.82.056708. Web of Science, Google Scholar
R. J. Leveque and Z. Li, SIAM J. Numer. Anal. 31, 1019 (1994). Web of Science, Google Scholar
X. Zhong, J. Comput. Phys. 225, 1066 (2007), DOI: 10.1016/j.jcp.2007.01.017. Web of Science, Google Scholar
P. A. Berthelsen, J. Comput. Phys. 197, 364 (2004), DOI: 10.1016/j.jcp.2003.12.003. Web of Science, ADS, Google Scholar
S. Xu and Z. J. Wang, J. Comput. Phys. 216, 454 (2006), DOI: 10.1016/j.jcp.2005.12.016. Web of Science, ADS, Google Scholar
D. V. Le, B. C. Khoo and J. Peraire, J. Comput. Phys. 220, 109 (2006), DOI: 10.1016/j.jcp.2006.05.004. Web of Science, ADS, Google Scholar
K. Karagiozis, R. Kamakoti and C. Pantano, J. Comput. Phys. 229, 701 (2010), DOI: 10.1016/j.jcp.2009.10.005. Web of Science, ADS, Google Scholar
T. P. Horikis, Phys. Lett. A 359, 345 (2006). Web of Science, ADS, Google Scholar
D. J. Costinett and T. P. Horikis, J. Phys. A: Math. Theor. 42, 235201 (2009), DOI: 10.1088/1751-8113/42/23/235201. Web of Science, ADS, Google Scholar
S. Deng, Comput. Phys. Commun. 179, 791 (2008). Web of Science, ADS, Google Scholar
V. Rutka and Z. Li, Comput. Methods Appl. Mech. Engrg. 197, 2317 (2008). Web of Science, ADS, Google Scholar
W. Snyder and J. D. Love , Optical Waveguide Theory ( Chapman & Hall , 1983 ) . Google Scholar
J. Scheuer and A. Yariv, J. Opt. Soc. Am. B 20, 2285 (2003), DOI: 10.1364/JOSAB.20.002285. Web of Science, ADS, Google Scholar
M. Skorobogatiy, K. Saitoh and M. Koshiba, Opt. Lett. 29, 2112 (2004), DOI: 10.1364/OL.29.002112. Web of Science, ADS, Google Scholar
Y. C. Zhouet al., J. Comput. Phys. 213, 1 (2006), DOI: 10.1016/j.jcp.2005.07.022. Web of Science, ADS, Google Scholar
K. Kurikiet al., Opt. Express 12, 1510 (2004), DOI: 10.1364/OPEX.12.001510. Web of Science, ADS, Google Scholar
T. P. Horikis and W. L. Kath, Opt. Lett. 31, 3417 (2006), DOI: 10.1364/OL.31.003417. Web of Science, ADS, Google Scholar

Journal cover image

Vol. 22, No. 07

Metrics

Downloaded 29 times

History

Received 5 April 2011

Accepted 25 May 2011

Keywords