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Brian Krummel's
UMBC Honors Undergraduate Thesis: An analysis of curvatures of discrete surfaces with boundary[pdf] Invited Talk at Conference on Nonlinearity and Randomness in Complex Systems, SUNY Buffalo, March 31, 2006 OFC 2006 Talk OFC 2006 Poster Resources for Course on Modeling Optical Fiber Communication Systems Optical Communication System (OCS) Software Documentation I am an Associate Professor in the Department of Mathematics
and Statistics at UMBC.
From 2000-2003, I was a research associate faculty member in the Optical Fiber Communications Laboratory at the University of Maryland Baltimore County. From 1998-2000, I was a postdoc in the Computer Science Department at the University of New Mexico doing research in human and computer vision in collaboration with Lance Williams. From 1988-1998, I did research in differential geometry in collaboration with Reese Harvey at Rice University and Blaine Lawson at The State University of New York at Stony Brook. I held positions in the Math Departments at Rice, Stony Brook, U.T. Austin and the University of Nevada Reno and have extensive experience teaching mathematics to undergraduate and graduate students. I have a Ph.D. in Mathematics from Rice University, 1993. |
| BOOK CHAPTERS |
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1) C.R. Menyuk, B.S. Marks, I.T. Lima, Jr., J. Zweck, Y. Sun, G.M. Carter, and D. Wang, ``Polarization effects in long-haul undersea systems'', in Undersea Fibre Communication Systems, Jose Chesnoy, ed., Elsevier Press, 2002 |
| PUBLICATIONS IN REFEREED JOURNALS |
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17) J. Zweck and S.E. Minkoff, "Modeling compensation for optical fiber communication systems", SIAM Journal on Optimization, pp. 1--38, [to appear] |
16) H. Xu, B.S. Marks, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "Statistical properties of the DGD in a long-haul optical fiber system with temporally drifting birefringence", Journal of Lightwave Technology, pp. 1--32, [to appear] |
15) W. Xi, T. Adali, and J. Zweck, "A MAP equalizer for the optical communications channel", Journal of Lightwave Technology, pp. 1--19, [to appear] |
14) O.V. Sinkin, V.S. Grigoryan, J. Zweck, C.R. Menyuk, A. Docherty, and M. Ablowitz, "Calculation, characterization, and application of the time-shift function in wavelength-division-multiplexed return-to-zero systems", Optics Letters, vol. 30, no. 16, pp. 2056--2058, 2005 |
13) W. Pellegrini, J. Zweck, C.R. Menyuk, and R. Holzloehner, "Computation of bit error ratios for a dense WDM system using the noise covariance matrix and multicanonical Monte Carlo methods", Photonics Technology Letters, vol. 17, no. 8, pp. 1644--1646, 2005 |
12) I.T. Lima Jr., A.O. Lima, Y. Sun, H. Jiao, J. Zweck, C.R. Menyuk, and G.M. Carter, "A receiver model for optical fiber communication systems with arbitrarily polarized noise", Journal of Lightwave Technology, vol. 23, no. 3, pp. 1478--1490, 2005 |
11) R. Holzloehner, A. Mahadevan, C.R. Menyuk, J.M. Morris, and J. Zweck, "Evaluation of the very low BER of FEC codes using dual adaptive importance sampling", IEEE Communications Letters, vol. 9, no. 2, pp. 163-165, 2005 |
10) H. Xu, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "Quantitative experimental study of intra-channel nonlinear timing jitter in a 10 Gb/s terrestrial WDM return-to-zero system", Photonics Technology Letters, vol. 16, no. 1, pp. 314--316, 2004 |
9) Y. Sun, I.T. Lima Jr., A.O. Lima, H. Jiao, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "System performance variations due to partially polarized noise in a receiver", Photonics Technology Letters, vol. 15, no. 11, pp. 1648--1650, 2003 |
8) T. Wanner, B.S. Marks, C.R. Menyuk, and J. Zweck, "Polarization decorrelation in optical fibers with randomly varying elliptical birefringence", Optics Letters, vol. 28, no. 19, pp. 1799-1801, 2003 |
7) Y. Sun, A.O. Lima, I.T. Lima Jr., J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "Statistics of the system performance in a scrambled recirculating loop with PDL and PDG", Photonics Technology Letters, vol. 15, no. 8, pp. 1067--1069, 2003 |
6) I.T. Lima, Jr., A.O. Lima, J. Zweck, and C.R. Menyuk, "Performance characterization of chirped return-to-zero modulation format using an accurate receiver model", Photonics Technology Letters, vol. 15, no. 4, pp. 608-610, 2003 |
5) J. Zweck and C.R. Menyuk, "Reduction of intra-channel four-wave mixing using subchannel multiplexing", Photonics Technology Letters, vol. 15, no. 2, pp. 323-325, 2003 |
4) I.T. Lima, Jr., A.O. Lima, J. Zweck, and C.R. Menyuk, "Efficient computation of outage probabilities due to polarization effects in a WDM system using importance sampling", Photonics Technology Letters, vol. 15, no. 1, pp. 45-47, 2003 |
3) O.V. Sinkin, R. Holzlöhner, J. Zweck, and C.R. Menyuk, "Optimization of the split-step Fourier method in modeling optical fiber communications systems", Journal of Lightwave Technology, vol. 21, no. 1, pp. 61-68, 2003 |
2) J. Zweck and C.R. Menyuk, "Analysis of four-wave mixing between pulses in high-data-rate quasi-linear subchannel-multiplexed systems", Optics Letters, vol. 27, no. 14, pp. 1235-1237, 2002 |
1) O.V. Sinkin, J. Zweck, and C.R. Menyuk, "A comparative study of pulse interactions in optical fiber transmission systems with different modulation formats", Optics Express, vol. 9 no. 7, pp. 339-352, 2001 [Electronic Journal: http://www.opticsexpress.org] |
| INVITED CONFERENCE PUBLICATIONS |
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2) C.R. Menyuk, B.S. Marks, and J. Zweck, "A methodology for calculating performance in an optical fiber communications system", Optical Communication Theory and Techniques, Proceedings of Tyrrhenian International Workshop on Digital Communications, E. Forestieri (Ed.), Springer-Verlag, pp. 113--120, Pisa Italy, October 17-18, 2004 |
1) J. Zweck, I.T. Lima, Jr., R. Holzlöhner, and C.R. Menyuk, "New Advances in Modeling Optical Fiber Communication Systems", Integrated Photonics Research (Technical Digest), Vancouver, Canada, July 17--19, 2002 |
| REFEREED CONFERENCE PUBLICATIONS |
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26) L. Fomundam, J. Zweck, H. Xu, H. Jiao, and G.M. Carter, "Probability density functions of rotations in loop-synchronous polarization scrambling for recirculating loop experiments", Optical Fiber Communications 2006, Anaheim, CA, paper OWI16, [poster] |
25) J. Zweck and C.R. Menyuk, "Detection and mitigation of soft failure due to polarization-mode dispersion in optical networks", Optical Fiber Communications 2006, Anaheim, CA, paper OFG5 |
24) O.V. Sinkin, V.S. Grigoryan, J. Zweck and C.R. Menyuk, "Calculation of the bit-error ratio in wavelength-division-multiplexed return-to-zero systems when the nonlinear penalty is dominated by collision-induced timing jitter", Optical Fiber Communications 2006, Anaheim, CA, paper JThB3, [poster] |
23) W. Xi, T. Adali, and J. Zweck, "Electrical estimation of conditional probability for maximum-likelihood based PMD mitigation", Optical Fiber Communications 2005, Anaheim, CA, paper OWJ5 |
22) A.O. Lima, I.T. Lima Jr., C.R. Menyuk, and J. Zweck, "Performance evaluation of single-section and three-section PMD compensators using extended Monte Carlo methods", Optical Fiber Communications 2005, Anaheim, CA, paper OME27 |
21) H. Xu, B.S. Marks, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "The long-term distribution of differential group delay in a recirculating loop", Symposium on Optical Fiber Measurements, SOFM 2004, Boulder Colorado, paper V3, pp. 95--98 |
20) W. Wang, O.V. Sinkin, T. Adali, J. Zweck, and C.R. Menyuk, "Prior-based line-coding for WDM RZ systems", Conference on Lasers and Electro-Optics, San Fransisco, CA, 2004, paper CFN5 |
19) A. Karla, J. Zweck, and C.R. Menyuk, "Comparison of bit-error ratios for receiver models with integrate-and-dump and realistic electrical filters using the Gaussian approximation", Conference on Lasers and Electro-Optics, San Fransisco, CA, 2004, paper CWA24, [poster] |
18) W. Xi, T. Adali, and J. Zweck, "A MAP equalizer for the optical communications channel", International Conference on Acoustics, Speech, and Signal Processing, Montreal, Canada, 2004, paper SPCOM-P10, [poster] |
17) O.V. Sinkin, V.S. Grigoryan, R. Holzloehner, A. Karla, J. Zweck, and C.R. Menyuk, "Calculation of error probability in WDM RZ systems in presence of bit-pattern-dependent nonlinearity and of noise", Optical Fiber Communications 2004, Los Angeles, CA, paper TuN4 |
16) O.V. Sinkin, R. Holzloehner, V.S. Grigoryan, J. Zweck, and C.R. Menyuk, "Probabilistic description of nonlinear penalties in WDM RZ systems using multicanonical Monte Carlo simulations", IEEE Lasers and Electro-optics Society (LEOS) 2003 Annual Meeting, Tuscon AZ, paper ThI5 |
15) A.O. Lima, I.T. Lima Jr., J. Zweck, and C.R. Menyuk, "Efficient computation of PMD-induced penalties using multicanonical Monte Carlo simulations", ECOC-IOOC 2003, Rimini, Italy, paper 507 |
14) I.T. Lima Jr., A.O. Lima, J. Zweck, and C.R. Menyuk, "An accurate formula for the Q-factor of a fiber transmission system with partially polarized noise", Conference on Lasers and Electro-Optics 2003, paper CThJ |
13) H. Jiao, I.T. Lima Jr., A.O. Lima, Y. Sun, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "Experimental validation of a realistic receiver model for systems with unpolarized noise", Conference on Lasers and Electro-Optics 2003, paper CThJ |
12) J. Zweck, S.E. Minkoff, A.O. Lima, I.T. Lima, Jr., and C.R. Menyuk, "A comparative study of feedback controller sensitivity to all orders of PMD for a fixed DGD compensator", OFC 2003, paper ThY2 |
11) T. Wanner, B.S. Marks, C.R. Menyuk, and J. Zweck, "Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying elliptical birefringence", OFC 2003, paper WJ5 |
10) O.V. Sinkin, J. Zweck, and C.R. Menyuk, "Effects of the nonlinearly-induced timing and amplitude jitter on the performance of different modulation formats in WDM optical fiber communications systems", OFC 2003, paper TuF5 |
9) I.T. Lima Jr., A.O. Lima, J. Zweck, and C.R. Menyuk, "Computation of the Q-factor in optical fiber systems using an accurate receiver model", OFC 2003, paper MF81 |
8) W. Xi, T. Adali, A.O. Lima, W. Wang, J. Zweck, and C.R. Menyuk, "Electrical estimation of polarization mode dispersion parameters for compensation", OFC 2003, paper TuO5 |
7) Y. Sun, I.T. Lima Jr., A.O. Lima, H. Jiao, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter "Effects of partially polarized noise in a receiver", OFC 2003, paper MF82 |
6) Y. Sun, A.O. Lima, I.T. Lima Jr., L. Yan, J. Zweck, C.R. Menyuk, and G.M. Carter, "Accurate Q-factor distributions in optical transmission systems with polarization effects", OFC 2003, paper ThJ4 |
5) H. Xu, J. Wen, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "The effects of distributed PMD, PDL, and loop scrambling on BER distributions in a recirculating loop used to emulate a long-haul terrestrial transmission", OFC 2003, paper TuO2 |
4) H. Xu, H. Jiao, J. Wen, J. Zweck, L. Yan, C.R. Menyuk, and G.M. Carter, "Quantitative experimental study of intra-channel nonlinear timing jitter in a 10 Gb/s terrestrial WDM return-to-zero system", OFC 2003, paper FE7 |
3) I.T. Lima, Jr., A.O. Lima, Y. Sun, J. Zweck, B.S. Marks, G.M. Carter, and C.R. Menyuk, "Computation of the outage probability due to the polarization effects using importance sampling", Optical Fiber Communications Conference 2002, paper TuI7,2002 |
2) J. Zweck, and C.R. Menyuk, "Reduction of intra-channel four-wave mixing using subcarrier multiplexing", Optical Fiber Communications Conference 2002, paper ThGG9, 2002 |
1) O.V. Sinkin, J. Zweck, and C.R. Menyuk, "A comparative study of pulse interactions in optical fiber transmission systems with different modulation formats", IEEE Lasers and Electro-Optics Society Annual Meeting, La Jolla, CA, paper TuK2, 2001, [Winner of IEEE-LEOS Best Student Paper Award] |
| REFEREED JOURNAL PUBLICATIONS |
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3) J.W. Zweck and L.R. Williams, "Euclidean group invariant computation of stochastic completion fields using shiftable-twistable functions", Journal of Mathematical Imaging and Vision, vol. 21, no. 2, pp. 135-154, 2004 |
2) L.R. Williams and J. Zweck, "A rotation and translation invariant discrete saliency network", Biocybernetics, vol. 88, no. 1, pp. 2-10, 2003 [SIAM Annual Meeting 2003 Talk (PDF)] |
1) L.R. Williams, J. Zweck, T. Wang, and K.K. Thornber, "Computing stochastic completion fields in linear-time using a resolution pyramid", Computer Vision and Image Understanding, 76 (3), pp. 289-297, 1999 |
| REFEREED CONFERENCE PUBLICATIONS |
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2) L.R. Williams and J. Zweck, "A rotation and translation invariant discrete saliency network", Advances in Neural Information Processing Systems 14, MIT Press, 2002 |
1) J. Zweck and L.R. Williams, "Euclidean group invariant computation of stochastic completion fields using shiftable-twistable functions", Proc. of the 6th European Conference on Computer Vision (ECCV '00), Part II, Dublin, Ireland, Lecture Notes in Computer Science, 1842-43, pp. 100-116, Springer-Verlag, 2000 |
| OTHER PUBLICATIONS |
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2) J. Zweck and L.R. Williams, "Euclidean invariant computation of stochastic completion fields using shiftable-twistable wavelets", Applications of High Performance Computing in Engineering VI, Ingber, Power, and Brebbia (eds.), WIT Press, 2000 |
1) J. Zweck and L.R. Williams, "Euclidean invariant computation of visual contours using wavelets", SIAM News Applications on advanced architecture computers column, 33 (3), 2000 |
| PUBLICATIONS IN REFEREED JOURNALS |
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6) R. Harvey, B. Lawson and J. Zweck, "The de Rham-Federer theory of differential characters and character duality", American Journal of Mathematics, 125 (4), pp. 791--847, August 2003 |
5) J. Zweck and R. Harvey, "Divisors and Euler sparks of atomic sections", Indiana Mathematics Journal, 50 (1), pp. 243-298, 2001 |
4) J. Zweck, "The Stiefel-Whitney spark", Houston Journal of Mathematics, 27 (2), pp. 325-351, 2001 |
3) J. Zweck and R. Harvey, "Stiefel-Whitney currents", The Journal of Geometric Analysis, 8 (5), pp. 805-840, 1998 |
2) J. Zweck, "Euler and Pontrjagin currents of a section of a compactified real bundle", Journal of Differential Geometry and its Applications, 5, pp. 277-309, 1995 |
1) J. Zweck, "Chern currents of singular connections associated with a section of a compactified bundle", Indiana Mathematics Journal, 44, pp. 341-384, 1995 |
| UNPUBLISHED MATERIAL |
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1) R. Harvey, B. Lawson and J. Zweck, "The product formula for the total Chern and Pontryjagin sparks", pp. 1-54, 1999 |