Modal losses and design of modal irradiance patterns in an optical fiber by the complex scaled (t, t′) method
JOSA B, Vol. 12, Issue 6, pp. 1133-1141 (1995)
http://dx.doi.org/10.1364/JOSAB.12.001133
Enhanced HTML Acrobat PDF (441 KB)
Abstract
The combination of complex scaling with the (t, t′) representation of the time-dependent Schrödinger equation [ J. Chem. Phys. 99, 4590 ( 1993)] permits the design of graded-index multimode fiber to control the distribution of power among the modes. The differential modal losses are associated with the imaginary parts of the complex eigenvalues of a complex scaled Floquet-type operator. Although the illustrative numerical calculations are given here for the case in which the index of refraction is periodically varied along the fiber axis, the method is applicable for a more general coordinate-dependent index-of-refraction case.
© 1995 Optical Society of America
Citation
Ilya Vorobeichik, Uri Peskin, and Nimrod Moiseyev, "Modal losses and design of modal irradiance patterns in an optical fiber by the complex scaled (t, t^{′} method," J. Opt. Soc. Am. B 12, 1133-1141 (1995)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-12-6-1133
Sort: Year | Journal | Reset
References
- See, for example, A. H. Cherin, An Introduction to Optical Fibers (McGraw-Hill, New York, 1983).
- H. Tal Ezer, R. Kosloff, and C. Cerjan, "Low-order polynomial approximation of propagation for the time-dependent Schrö dinger equation," J. Comput. Phys. 100, 179 (1992). [CrossRef]
- C. Leforestier, R. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. D. Hammerich, G. Julicard, W. Karrlein, H. Dieter Meyer, N. Lipkin, O. Roncero, and R. Kosloff, "A comparison of different propagation schemes for the time dependent Schrödinger equation," J. Comput. Phys. 94, 59 (1991). [CrossRef]
- H. Tal Ezer and R. Kosloff, "An accurate and efficient scheme for propagating the time-dependent Schrödinger equation," J. Chem. Phys. 81, 3967 (1984). [CrossRef]
- C. Cerjan and R. Kosloff, "Efficient variable time-dependent scheme for intense field–atom interactions," Phys. Rev. A 47, 1852 (1993). [CrossRef] [PubMed]
- D. Kosloff and R. Kosloff, "A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics," J. Comput. Phys. 52, 35 (1983). [CrossRef]
- M. D. Feit, J. A. Fleck, Jr., and A. Steiger, "Solution of the Schrödinger equation by a spectral method," J. Comput. Phys. 47, 412 (1982). [CrossRef]
- C. J. Williams, J. Qian, and D. J. Tannor, "Dynamics of triatomic photodissociation in the interaction representation. I. Methodology," J. Chem. Phys. 95, 1721 (1991). [CrossRef]
- M. D. Feit and J. A. Fleck, Jr., "Simple spectral method for solving propagation problems in cylindrical geometry with fast Fourier transforms," Opt. Lett. 14, 662 (1989). [CrossRef] [PubMed]
- S. Leasure and R. E. Wyatt, "Floquet theory of the interaction of a molecule with a laser field: techniques and an application," Opt. Eng. 19, 46 (1980). [CrossRef]
- S. Banerjee and A. Sharma, "Propagation characteristics of optical waveguiding structures by direct solution of the Helmholtz equation for total fields," J. Opt. Soc. Am. A 6, 1884 (1989). [CrossRef]
- J. Van Roey, Van der Douk, and P. E. Lagasse, "Beampropagation method: analysis and assessment," J. Opt. Soc. Am. 71, 803 (1980). [CrossRef]
- U. Peskin and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: theory, computational algorithm and applications," J. Chem. Phys. 99, 4590 (1993). [CrossRef]
- U. Peskin, O. E. Alon, and N. Moiseyev, "The solution of the time-dependent Schrödinger equation by the (t, t^{′}) method: multiphoton ionization/dissociation probabilities in different gauges of the electromagnetic potentials," J. Chem. Phys. 100, 7310 (1994). [CrossRef]
- U. Peskin, R. Kosloff, and N. Moiseyev, "The solution of the time dependent Schrödinger equation by the (t, t^{′}) method: the use of global polynomial propagators for time dependent Hamiltonians," J. Chem. Phys. 100, 8849 (1994). [CrossRef]
- E. Balslev and J. M. Combes, "Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions," Commun. Math. Phys. 22, 280 (1971). [CrossRef]
- B. Simon, "Quadratic form techniques and the Balslev– Combes theorem," Commun. Math. Phys. 27, 1 (1972); Ann. Math. 97, 247 (1973). [CrossRef]
- W. P. Reinhardt, "Complex coordinates in the theory of atomic and molecular structure and dynamics," Ann. Rev. Phys. Chem. 33, 223 (1982). [CrossRef]
- B. R. Junker, "Recent computational developments in the use of complex scaling in resonance phenomena," Adv. At. Mol. Phys. 18, 207 (1982). [CrossRef]
- Y. K. Ho, "The method of complex coordinate rotation and its application to atomic collision processes," Phy. Rep. C 99, 1 (1983). [CrossRef]
- N. Moiseyev, "Resonances, cross sections, and partial widths by the complex coordinate method," Isr. J. Chem. 31, 311 (1991).
- N. Moiseyev and H. J. Korsch, "Metastable quasienergy positions and widths for time-periodic Hamiltonians by the complex-coordinate method," Phys. Rev. A 41, 498 (1990); Isr. J. Chem. 30, 107 (1990). [CrossRef] [PubMed]
- I. Vorobeichik, U. Peskin, and N. Moiseyev, "Propagation of light beam in optical fiber by the (t, t^{′}) method," Nonlinear Opt. (to be published).
Cited By |
Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
« Previous Article | Next Article »
OSA is a member of CrossRef.