Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Wave-function reconstruction of complex fields obeying nonlinear parabolic equations.

Yaw-Ren E Tan1, David M Paganin, Rotha P Yu

  • 1School of Physics and Materials Engineering, Monash University, Victoria 3800, Australia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

On optimisation of Paganin's method for propagation-based X-ray phase-contrast imaging and tomography.

Journal of microscopy·2026
Same author

Criteria for selecting the Paganin-filter reconstruction parameter in X-ray phase-contrast tomography.

Journal of synchrotron radiation·2026
Same author

Demonstration of a family of X-ray dark-field retrieval approaches on a common set of samples.

Journal of synchrotron radiation·2026
Same author

Active wave-particle clusters.

Physical review. E·2026
Same author

Quantitative Stain Mapping in X-Ray Virtual Histology.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2026
Same author

Signal-to-noise and spatial resolution in in-line imaging. 3. Optimization using a simple model.

Journal of synchrotron radiation·2026
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

A new Gerchberg-Saxton algorithm reconstructs complex wave fields from modulus data. This method accurately recovers Bose-Einstein condensate wave functions, even with noise and strong nonlinearities.

Area of Science:

  • Quantum physics
  • Nonlinear optics
  • Computational physics

Background:

  • Reconstructing complex wave fields is crucial for understanding quantum systems.
  • Existing methods face challenges with nonlinear dynamics and noisy data.

Purpose of the Study:

  • To develop a generalized Gerchberg-Saxton algorithm for reconstructing (2+1)-dimensional complex scalar wave fields.
  • To apply this algorithm to recover the wave function of Bose-Einstein condensates (BECs) from simulated modulus data.

Main Methods:

  • A generalized Gerchberg-Saxton algorithm was developed for nonlinear parabolic differential equations.
  • The algorithm reconstructs wave fields using modulus information at multiple evolution parameter values.
  • Bose-Einstein condensate dynamics were modeled using the Gross-Pitaevskii equation.

Related Experiment Videos

Main Results:

  • The generalized Gerchberg-Saxton algorithm successfully reconstructed (2+1)-dimensional complex wave fields.
  • Accurate recovery of BEC wave functions was achieved from simulated absorption images.
  • The algorithm demonstrated efficacy under strong nonlinearities, vortex states, and Poisson noise.

Conclusions:

  • The generalized Gerchberg-Saxton algorithm provides a robust method for wave field reconstruction.
  • This technique is valuable for studying the phase dynamics of topological defects in coherent quantum systems.
  • The algorithm's ability to handle time-dependent wave functions opens new avenues for quantum system analysis.