I am trying to figure out methods to calculate spatial mode(s) inside optical fiber using measured refractive index profile.
First thing that i can think about is Finite Element Analysis.
Is there other way to get this calculation done?
"Beam propagation method" (BPM) is one of the buzz-phrases you want to search for.
Some available books:
[1] D. Marcuse, Theory of Dielectric Optical Waveguides, New York: Academic Press, 1974.Keywords: Early laser books, Fiber optics, BPM, planar waveguides, Leaky modes, Hollow waveguide, optical waveguide analysis.
[2] M. J. Adams, Introduction to Optical Waveguides: Wiley, 1981.Keywords: Early laser books, optical fiber, optical waveguide theory, Graded index, Hollow waveguide, optical waveguide analysis.
Abstract: The book presents an integrated introduction to optical waveguide theory, covering planar, rectangular and circular guides. In each case progress from the conducting-wall to dielectric versions, including graded-index distributions, is discussed. The theory is applied to a wide range of practical problems including; guidance in stripe-geometry heterostructure lasers, various guiding structures for integrated optics, hollow guides for waveguide lasers and dispersion in monomode and multimode optical fibres. (778 refs.)
[3] T. Okoshi, Optical fibers: Academic Press, 1982.Keywords: Early laser books, Fiber optics, book, optical fibers, optical waveguide analysis.
[4] A. W. Snyder and J. D. Love, Optical waveguide theory: Chapman and Hall, 1983.Keywords: Early laser books, Fiber optics, book, optical waveguide analysis.
Notes: Classic early work, very extensive and detailed -- but not always easy to read.
[5] C. Tsao, Optical fibre waveguide analysis: Oxford University Press,, 1992.Keywords: Fiber optics, book, optical waveguide analysis
Notes: Haven't seen this?
[6] K. Okamoto, Fundamentals of Optical Waveguides: Academic Press, 2000.Keywords: Optical waveguides, fiber optics, BPM, FEM, optical waveguide analysis
Notes: Very good, detailed text on optical waveguide and fiber modes and especially on numerical methods for calculating such modes, including FEM and BPM methods. Recommended by George Lawrence.
[7] K. Kawano and T. Kitoh, Introduction to Optical Waveguide Analysis: Wiley, 2001.Keywords: Optical fibers, waveguides, numerical calculations, FFT, BPM, optical wavegide analysis
Notes: Good summary of equations for analyzing optical waveguides and fibers, plus considerable detail on numerical analysis methods.
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