Comparison of different methods for rigorous modeling of photonic crystal fibers

Optics Express

Volumn 14, Issue 12, 2006, Pages 5699-5714

  Szpulak, Marcin ^a   Urbanczyk, Waclaw ^a   Serebryannikov, Evgenii ^b   Zheltikov, Aleksei ^b   Hochman, Amit ^c   Leviatan, Yehuda ^c   Kotynski, Rafal ^d   Panajotov, Krassimir ^e,f  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^d UNIVERSITY OF WARSAW   (Poland)

^e VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^f INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

BIREFRINGENCE; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL METHODS; SPECTRUM ANALYSIS; VELOCITY MEASUREMENT;

AIR CLADDING; EQUIVALENT FIBER METHOD (EFM); PHOTONIC CRYSTAL FIBER (PCF); SOURCE MODEL TECHNIQUE (SMT);

OPTICAL FIBERS;

EID: 33745122687     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.14.005699     Document Type: Article

References (37)

1. P. St. J. Russell, "Photonic crystal fibers," Science 299, 358-362 (2003).
2. J. C. Knight, "Photonic crystal fibers," Nature 424, 847-851 (2003).
3. J. K. Ranka, R. S. Windeler, and A. J. Stentz, "Visible continuum generation in air-silica microstructure optical fibers with anomalous dispersion at 800 nm," Opt. Lett. 25, 25-27 (2000).
4. C. M. Bowden and A. M. Zheltikov, eds., "Nonlinear Optics of Photonic Crystals," Feature issue of J. Opt. Soc. Am. B 19, (2002).
5. W. H. Reeves, D. V. Skryabin, F. Biancalana, J. C. Knight, P. St. J. Russell, F. G. Omenetto, A. Efimov, and A. J. Taylor, "Transformation and control of ultra-short pulses in dispersion-engineered photonic crystal fibres," Nature 424, 511-515 (2003).
6. T. Udem, R. Holzwarth, and T. W. Hänsch, "Optical frequency metrology," Nature 416, 233-237 (2002).
7. S. O. Konorov, D. A. Akimov, E. E. Serebryannikov, A. A. Ivanov, M. V. Alfimov, and A. M. Zheltikov, "Cross-correlation FROG CARS with frequency-converting photonic-crystal fibers," Phys. Rev. E 70, 057601 (2004).
8. H. N. Paulsen, K.M. Hilligsøe, J. Thøgersen, S. R. Keiding, and J. J. Larsen, "Coherent anti-Stokes Raman scattering microscopy with a photonic crystal fiber based light source," Opt. Lett. 28, 1123-1125 (2003).
9. I. Hartl, X. D. Li, C. Chudoba, R. K. Rhanta, T. H. Ko, J. G. Fujimoto, J. K. Ranka, and R. S. Windeler, "Ultrahigh-resolution optical coherence tomography using continuum generation in an air-silica microstructure optical fiber," Opt. Lett. 26, 608-610 (2001).
10. M. T. Myaing, J. Y. Ye, T. B. Norris, T. Thomas, J. R. Baker Jr., W. J. Wadsworth, G. Bouwmans, J. C. Knight, and P. St. J. Russell, "Enhanced two-photon biosensing with double-clad photonic crystal fibers," Opt. Lett. 28, 1224-1226 (2003).
11. W. H. Reeves, J. C. Knight, P. St. J. Russell, and P. J. Roberts, "Demonstration of ultra-flattened dispersion in photonic crystal fibers," Opt. Express 10, 609-613 (2002).
12. T. A. Birks, J. C. Knight, and P. St. J. Russell, "Endlessly single-mode photonic crystal fiber," Opt. Lett. 22, 961-963 (1997).
13. A. Ferrando, E. Silvestre, J. J. Miret, P. Andrés, and M. V. Andrés, "Full-vector analysis of a realistic photonic crystal fiber modes," Opt. Lett. 24, 276-278 (1999).
14. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001).
15. N. A. Issa and L. Poladian, "Vector wave expansion method for leaky modes of microstructured optical fibers," J. Lightwave Technol. 21, 1005-1012 (2003).
16. K. Saitoh and M. Koshiba, "Full-vectorial imaginary-distance beam propagation method based on a finite element scheme: application to photonic crystal fibers," IEEE J. Quantum Electron. 38, 927-933 (2002).
17. A. Cucinotta, S. Selleri, L. Vincetti, and M. Zoboli, "Holey fiber analysis through the finite element method," IEEE Photon. Technol. Lett. 14, 1530-1532 (2002).
18. T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennet, "Modelling large air fraction holey optical fibers," J. Lightwave Technol. 18, 50-56 (2000).
19. T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botton, "Multipole method for microstructured optical fibers. I. Formulation," J. Opt. Soc. Am. B 19, 2322-2330 (2002).
20. B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botton, C. M. de Sterke, and R. C. McPhedran, "Multipole method for microstructured optical fibers. II. Implementation and results," J. Opt. Soc. Am. B 19, 2331-2340 (2002).
21. A. Hochman and Y. Leviatan, "Analysis of strictly bound modes in photonic crystal fibers by use of a source-model technique," J. Opt. Soc. Am. A 21, 1073-1081, (2004).
22. Z. Zhu and T. Brown, "Full-vectorial finite-difference analysis of microstructured optical fibers," Opt. Express 10, 853-864 (2002).
23. S. O. Konorov and A. M. Zheltikov, "Frequency conversion of subnanojoule femtosecond laser pulses in a microstructure fiber for photochromism initiation," Opt. Express 11, 2440-2445 (2003).
24. R. B. Dyott, Elliptical fiber waveguides (Artech House Optoelectronics Library, 1995).
25. M. Koshiba, S. Maruyama, and K. Hirayama, "A vector finite element method with the higher order mixed-interpolation-type triangular elements for optical waveguide problems," J. Lightwave Technol. 12, 495-502 (1994).
26. H. S. Sözüer and J. W. Haus, "Photonic bands: convergence problems with the plane-wave method," Phys. Rev. B 45, 13962-13972 (1992).
27. M. J. Steel, T. P. White, C. Martijn de Sterke, R. C. McPhedran, and L. C. Botten, "Symmetry and degeneracy in microstructured optical fibers," Opt. Lett. 26, 488-490 (2001).
28. A. Hochman and Y. Leviatan, "Calculation of confinement losses in photonic crystal fibers by use of a source-model technique," J. Opt. Soc. Am. B 22, 474-480 (2005).
29. A. Hochman and Y. Leviatan, "A spurious-tree Source-Model Technique for modal waveguide analysis," CCIT Report #521, EE Dept., Technion Israel Inst. of Technology, March 2005, online: http://www2.ee.technion.ac.il/CCIT/ info/Publications/Articles/521.pdf.
30. A. Hochman and Y. Leviatan, "Modal dynamics in hollow-core photonic-crystal fibers with elliptical veins," Opt. Express 13, 6193-6201 (2005).
31. R. Kotynski, M. Antkowiak, F. Berghmans, H. Thienpont, and K. Panajotov, "Photonic Crystal Fibers with Material Anisotropy," Opt. Quant. Electron. 37, 253-264 (2005).
32. A. Ortigosa-Blanch, A. Díez, M. Delgado-Pinar, J. L. Cruz, and M. V. Andrés, "Ultrahigh birefringent nonlinear microstructured fiber," IEEE Photon. Technol. Lett. 16, 1667-1669 (2004).
33. C. Yeh, "Elliptical dielectric waveguides," J. Appl. Phys. 33, 3235-3243 (1962).
34. A. W. Snydera and J. D. Love, Optical Waveguide Theory (London, Chapman and Hall, 1983).
35. T. P. White, R. C. McPhedram, C. M. de Sterke, L. C. Botten, and M. J. Steel, "Confinement losses in microstructured optical fibers," Opt. Lett. 26, 1660-1662 (2001).
36. D. Ferrarini, L. Vincetti, M. Zoboli, A. Cucinotta, and S. Selleri, "Leakage properties of photonic crystal fibers," Opt. Express 10, 1314-1319 (2002).
37. V. Rastogi and K. S. Chiang, "Holey optical fiber with circularly distributed holes, analyzed by the radial effective-index method," Opt. Lett. 28, 2449-2451 (2003).