Dynamics of multisection semiconductor lasers

References

• Bandelow , U. 1994 . “ Theorie longitudinaler Effekte in 1.55 ” . In μm Mehrsektions DFB‐Laserdioden , Humboldt‐Universität Berlin . PhD thesis
   Google Scholar
• Bandelow , U. , Recke , L. and Sandstede , B. 1998 . Frequency regions for forced locking of self‐pulsating multi‐section DFB lasers . Opt. Comm , 147 : 212 – 218 .
   Web of Science ®Google Scholar
• Bandelow , U. , Wolfram , M. , Radziunas , M. and Sieber , J. 2001 . Impact of gain dispersion on the spatio‐temporal dynamics of multisection lasers . IEEEJ.of Quant El , 37 (2) : 183 – 189 .
   Web of Science ®Google Scholar
• Bates , P. W. , Lu , K. and Zeng , C. 1998 . Existence and persistence of invariant manifolds for semiflows in Banach spaces . Mem. Amer. Math. Soc , 135
   Google Scholar
• Bates , P. W. , Lu , K. and Zeng , C. 1999 . Persistence of overflowing manifolds for semiflow . Comm. Pure Appl. Math , 52 (8) : 983 – 1046 .
   Web of Science ®Google Scholar
• Bates , P. W. , Lu , K. and Zeng , C. 2000 . Invariant foliations near normally hyperbolic invariant manifolds for semiflows . Trans. Amer. Math. Soc , 352 : 4641 – 4676 .
   Google Scholar
• Bauer , S. , Brox , O. , Kreissl , J. , Sartorius , B. , Radziunas , M. , Sieber , J. , Wünsche , H.‐J. and Henneberger , F. 2004 . Nonlinear dynamics of semiconductor lasers with active optical feedback . Phys. Rev. E , 69 : 016206
   Google Scholar
• Brox , O. , Bauer , S. , Radziunas , M. , Wolfrum , M. , Sieber , J. , Kreissl , J. , Sartorius , B. and Wünsche , H.‐J. 2003 . High‐frequency pulsations in DFB‐lasers with amplifi ed feedback . IEEEJ.Quantum Elect , 39 (11) : 1381 – 1387 .
   Web of Science ®Google Scholar
• Diekmann , O. , van Gils , S. and Verduyn , S. M. Springer‐Verlag 1995 . “ Lunel and H.‐O. Walther ” . In Delay Equations volume 110 of Applied Mathematical Sciences Springer‐Verlag ,
   Google Scholar
• Doedel , E. J. , Champneys , A. R. , Fairgrieve , T. F. , Kuznetsov , Y. A. , Sandstede , B. and Wang , X. 1998 . AUTO97, Continuation and bifurcation software for ordinary differential equations
   Google Scholar
• Fenichel , N. 1979 . Geometric singular perturbation theory for ordinary differential equations . Journal of Differential Equations , 31 : 53 – 98 .
   Web of Science ®Google Scholar
• Friese , S. 1999 . Existenz und Stabilität von Lösungen eines Randanfangswertproblems der Halbleiterdynamik , Humboldt‐Universität Berlin . Master's thesis
   Google Scholar
• Jochmann , F. and Recke , L. 1999 . Existence and uniqueness of weak solutions of an initial boundary value problem arising in laser dynamics , Preprint 515, WIAS .
   Google Scholar
• Krauskopf , B. , Schneider , K. , Sieber , J. , Wieczorek , S. and Wolfrum , M. 2003 . Excitability and self‐pulsations near homoclinic bifurcations in laser systems . Opt. Comm , 215 : 367 – 379 .
   Web of Science ®Google Scholar
• Marcenac , D. 1993 . Fundamentals of laser modelling , University of Cambridge . PhD thesis
   Google Scholar
• Möhrle , M. , Sartorius , B. , Bornholdt , C. , Bauer , S. , Brox , O. , Sigmund , A. , Steingrüber , R. , Radziunas , M. and Wünsche , H.‐J. 2001 . Detuned grating multisection‐RW‐DFB lasers for high speed optical signal processing . IEEEJ.on Sel. Top. Quantum Electron , 7 : 217 – 223 .
   Google Scholar
• Pazy , A. Springer Verlag 1983 . Semigroups of Linear Operators and Applications to Partial Differential Equations , Springer Verlag , New York : Applied mathematical Sciences .
   Google Scholar
• Peterhof , D. and Sandstede , B. 1999 . All‐optical clock recovery using multisection distributed‐feedback lasers . J. Nonlinear Sci , 9 : 575 – 613 .
   Web of Science ®Google Scholar
• Radziunas , M. , Wünsche , H.‐J. , Sartorius , B. , Brox , O. , Hoffmann , D. , Schneider , K. and Marcenac , D. 2000 . Modeling self‐pulsating DFB lasers with integrated phase tuning section . IEEEJ.of Quant. El , 36 (9) : 1026 – 1034 .
   Web of Science ®Google Scholar
• Recke , L. , Schneider , K.R. and Strygin , V.V. 1999 . Spectral properties of coupled wave equations . Z angew. Math. Phys , 50 : 923 – 933 .
   Google Scholar
• Sieber , J. 2002 . Numerical bifurcation analysis for multi‐section semiconductor lasers . SIAMJ.of Appl. Dyn. Sys , 1 (2) : 248 – 270 .
   Google Scholar
• Sieber , J. 2003 . Longtime behavior of the coupled traveling wave model for semiconductor lasers , Preprint 23, University of Bristol, Dept. of Eng. Math. .
   Google Scholar
• Tromborg , B. , Lassen , H. E. and Olesen , H. 1994 . Travelling wave analysis of semiconductor lasers . IEEEJ.of Quant. El , 30 (5) : 939 – 956 .
   Google Scholar
• Turaev , D. Fundamental obstacles to self‐pulsations in low‐intensity lasers , Preprint 629, WIAS, 2001. Submitted to SIAMJ.of Appl. Math .
   Google Scholar
• Wenzel , H. , Bandelow , U. , Wünsche , H.‐J. and Rehberg , J. 1996 . Mechanisms of fast self pulsations in two‐section DFB lasers . IEEEJ.of Quant. El , 32 (1) : 69 – 79 .
   Web of Science ®Google Scholar
• Wolfrum , M. and Turaev , D. 2002 . Instabilities of lasers with moderately delayed optical feedback . Opt. Comm , 212 (1–3) : 127 – 138 .
   Google Scholar
• Wünsche , H. J. , Brox , O. , Radziunas , M. and Henneberger , F. 2002 . Excitability of a semiconductor laser by a two‐mode homoclinic bifurcation . Phys. Rev. Lett , 88 (2) : 023901
   Google Scholar
• Wünsche , H.‐J. , Radziunas , M. , Bauer , S. , Brox , O. and Sartorius , B. 2003 . Simulation of phase‐controlled mode‐beating lasers . IEEEJ.Selected Topics of Quantum Electron , 9 (3) : 857 – 864 .
   Google Scholar