Richard O Moore

Contact Info

Title:	Assistant Professor
Email:	richard.o.moore@njit.edu
Office:	603 Cullimore Hall

Phone:	973-596-5557
Dept:	Mathematical Sciences
Webpage:	http://web.njit.edu/~rmoore

About Teaching Research Publications & Projects

NJIT Newsroom tagged with "Richard O. Moore"

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About Me

Education

PhD, Applied Mathematics, Northwestern University
MS, Applied Mathematics, Northwestern University
BSc, Combined Honors Physics and Mathematics, University of British Columbia

Courses I Teach

2008U | 2008F | 2009S

MATH 111

CALCULUS I

MATH 332

INTRO COMPLEX VARIABLES

Courses Taught

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Research Interests

Investigating the robustness of optical bits (e.g., optical solitons) to deterministic and random perturbations
Developing hybrid analytical/computational methods (e.g., using biased sampling techniques) to compute statistics of low-probability events, such as bit errors in optical communication lines
Exploring the validity of finite-dimensional reductions of dispersive PDEs
Analysing patterns/localised objects and their dynamics in damped-dispersive systems
Exploring the effect of heating on dispersive systems such as optical parametric gain devices
Devising multi-scale computational techniques to exploit the disparity of time scales in physically relevant coupled hyperbolic-parabolic systems

Recent Publications

R. O. Moore, K. Promislow, "Mean-field limit of optical parametric oscillators with self-heating", in preparation.
R. O. Moore, G. Biondini and W. L. Kath, "A method to compute statistics of large, noise-induced perturbations of nonlinear Schrödinger solitons", revised version selected for publication in SIGEST section of SIAM Review, to appear in 2008.
R. O. Moore and K. Promislow, The semi-strong limit of multipulse interaction in a thermally driven optical system, submitted to J. Diff. Eq.
T. Schäfer and R. O. Moore, A path integral method for coarse-graining noise in stochastic differential equations with multiple time scales , submitted to Physica D.
R. O. Moore, G. Biondini and W. L. Kath, A method to compute statistics of large, noise-induced perturbations of nonlinear Schrödinger solitons, SIAM J. Appl. Math. (2007)
C. J. McKinstrie, R. O. Moore, S. Radic and R. Jiang, Phase-sensitive amplification of chirped optical pulses in fibers, Opt. Exp. (2007).
R. O. Moore, T. Schäfer, C. K. R. T. Jones, Soliton broadening under random dispersion fluctuations: Importance sampling based on low-dimensional reductions, Opt. Comm. (2005).
R. O. Moore, K. Promislow, Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators, Physica D, 206 (2005) pp. 62-81.
E. T. Spiller, W. L. Kath, R. O. Moore and C. J. McKinstrie, Computing Large Signal Distortions and Bit-Error Ratios in DPSK Transmission Systems, IEEE Phot. Tech. Lett., 17 (5) (2005) pp. 1022-1024.
R. O. Moore, G. Biondini and W. L. Kath, Importance sampling for noise-induced amplitude and timing jitter in soliton transmission systems,Opt. Lett., 28 (1) (2003) pp. 105-107.
T. Schäfer, R. O. Moore and C. K. R. T. Jones, Pulse propagation in media with deterministic and random dispersion variations, Opt. Comm., 214 (1-6) (2002) pp. 353-362.
R. O. Moore, G. Biondini and W. L. Kath, Self-induced thermal effects and modal competition in continuous-wave optical parametric oscillators, J. Opt. Soc. Am. B, 19 (4) (2002) pp. 802-811.
R. O. Moore, W. L. Kath, B. Sandstede, C. K. R. T. Jones and J. C. Alexander, Stability of multiple pulses in optical fibers with phase-sensitive amplification, Opt. Comm., 195 (1-4) (2001) pp. 127-139.