Geometric Optics in a Phase-Space-Based Level Set and Eulerian Framework

By Stanley J. Osher, Li-Tien Cheng, Myung-joo Kang, H. Shim, Yen-Hsi Richard Tsai. 2002

145 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/27bc5b7e0179965139f02095e54e454941bc4430

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Malcolm Sambridge
2. Chohong Min
3. N. Rawlinson

In Biomedical Engineering

1. Malcolm Sambridge
2. Chohong Min
3. N. Rawlinson

In Computational Mechanics

1. J. Hauser
2. N. Rawlinson
3. Malcolm Sambridge
4. Chohong Min

Citations in the corpus

• Multiple reflection and transmission phases in complex layered media using a multistage fast marching method (2004, background): “To date, several papers develop the idea of exploiting phase space to find multivalued solutions of partial differential equations that describe highfrequency wave propagation in continuous media (Engquist et al., 2002; Fomel and Sethian, 2002; Osher et al., 2002).”
• Wave front evolution in strongly heterogeneous layered media using the fast marching method (2004, background): “The idea of exploiting phase space to find multi-valued solutions of partial differential equations that describe high frequency wave propagation has also been explored by Engquist et al. (2002) and Osher et al. (2002).”
• Seismic ray tracing and wavefront tracking in laterally heterogeneous media (2008, methodology): “In comparison with the level set method described previously, Osher et al. (2002) claims that the Fomel and Sethian (2002) scheme is less computationally efficient at each update step (by a factor of O(M1/2) in 2-”
• Local level set method in high dimension and codimension (2004, methodology): “In the future, the author expects to employ the reinitialization algorithms in [10,21] to the tree structure in our method to improve the memory efficiency, and intends to improve the accuracy of our method.”
• A method for multiple crack growth in brittle materials without remeshing (2004, unknown): “Later Burchard et al. [ 8 ] and Osher et al. [ 9 ] considered the evolution of curves by level sets. vector Here we use a level set method developed by Ventura et al. [ 10, 11 , because this method simplifies the process of freezing the existing level sets for cracks [ 2 ] .”