Comparative analysis of numerical methods for the mode analysis of laser beams.

We present a comparative study of four numerical methods to detect the mode content of a laser beam from, at most, two intensity images. The techniques are compared regarding temporal effort, stability, and accuracy, using the example of three multimode optical fibers that differ in the number of supported modes.

[1]  F. Stutzki,et al.  Real-time monitoring of the modal content of monolithic large-mode-area fiber lasers , 2010, 2010 Conference on Optical Fiber Communication (OFC/NFOEC), collocated National Fiber Optic Engineers Conference.

[2]  Thomas Kaiser,et al.  Complete modal decomposition for optical fibers using CGH-based correlation filters. , 2009, Optics express.

[3]  Daniel Flamm,et al.  Mode resolved bend loss in few-mode optical fibers. , 2013, Optics express.

[4]  D. Flamm,et al.  Measurement of the orbital angular momentum density of light by modal decomposition , 2013 .

[5]  Daniel Flamm,et al.  Wavefront reconstruction by modal decomposition. , 2012, Optics express.

[6]  A. Willner,et al.  Terabit-Scale Orbital Angular Momentum Mode Division Multiplexing in Fibers , 2013, Science.

[7]  S. Wielandy,et al.  Implications of higher-order mode content in large mode area fibers with good beam quality. , 2007, Optics express.

[8]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[9]  Cesar Jauregui,et al.  Non-hexagonal Large-Pitch Fibers for enhanced mode discrimination. , 2011, Optics express.

[10]  Cesar Jauregui,et al.  High-speed modal decomposition of mode instabilities in high-power fiber lasers. , 2011, Optics letters.

[11]  Pu Zhou,et al.  Fast and accurate modal decomposition of multimode fiber based on stochastic parallel gradient descent algorithm. , 2013, Applied optics.

[12]  Steven G. Johnson,et al.  Quantitative characterization of higher-order mode converters in weakly multimoded fibers. , 2003, Optics express.

[13]  Daniel Flamm,et al.  Modal characterization of fiber-to-fiber coupling processes. , 2013, Optics letters.

[14]  T Isernia,et al.  Characterization of the transverse modes in a laser beam: analysis and application to a Q-switched Nd:YAG laser. , 1992, Applied optics.

[15]  Cesar Jauregui,et al.  High average power large-pitch fiber amplifier with robust single-mode operation. , 2011, Optics letters.

[16]  J. Joannopoulos,et al.  Complete modal decomposition for optical waveguides , 2005 .

[17]  T Isernia,et al.  Transverse mode analysis of a laser beam by near- and far-field intensity measurements. , 1995, Applied optics.

[18]  J. Rodgers,et al.  Thirteen ways to look at the correlation coefficient , 1988 .

[19]  S Ramachandran,et al.  Cross-correlated (C2) imaging of fiber and waveguide modes. , 2011, Optics express.

[20]  Duc Minh Nguyen,et al.  Modal decomposition technique for multimode fibers. , 2012, Applied optics.

[21]  Johannes Courtial,et al.  Efficient measurement of an optical orbital-angular-momentum spectrum comprising more than 50 states , 2013 .

[22]  Tommaso Isernia,et al.  Phaseless near field techniques: uniqueness conditions and attainment of the solution , 1994 .

[23]  Carsten Fallnich,et al.  Novel approach for polarization-sensitive measurements of transverse modes in few-mode optical fibers , 2008 .

[24]  Jörgen Bengtsson,et al.  Full characterization of a high-power semiconductor disk laser beam with simultaneous capture of optimally sized focus and farfield. , 2011, Applied optics.

[25]  Thomas Kaiser,et al.  Fast M2 measurement for fiber beams based on modal analysis. , 2012, Applied optics.

[26]  John M. Fini,et al.  Ultra‐large effective‐area, higher‐order mode fibers: a new strategy for high‐power lasers , 2008 .

[27]  M Ibsen,et al.  Novel technique for mode selection in a multimode fiber laser. , 2011, Optics express.

[28]  J W Nicholson,et al.  Spatially and spectrally resolved imaging of modal content in large-mode-area fibers. , 2008, Optics express.

[29]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .