Doing Arithmetic With Nonlinear Acoustic Vortices

@article{citeulike:3094375, abstract = {Phase singularities of wave-front-like screw dislocations or vortices possess a well-defined quantity that can only take integer value: the topological charge. In the nonlinear regime, it has been demonstrated that optical or acoustical vortices interact and the topological charge follows a conservation law. Here this facility is used in nonlinear parametric interaction of two vortices shifted in frequency to perform sums and subtractions of the topological charge. Thus, we experimentally demonstrate a new technique to perform wave computation in the group of integer . When the two vortices have commensurable frequencies, different combinations give the same frequencies but different tolopological charges may occur. We show that an energy criterion can be used to predict the outcome. A corollary is that a modulation of amplitude of the vortices switches from one result to the other.}, author = {Marchiano, R\'egis and Thomas, Jean L. }, citeulike-article-id = {3094375}, doi = {http://dx.doi.org/10.1103/PhysRevLett.101.064301}, journal = {Physical Review Letters}, keywords = {vortices}, number = {6}, posted-at = {2008-08-07 09:10:49}, priority = {2}, publisher = {APS}, title = {Doing Arithmetic With Nonlinear Acoustic Vortices}, url = {http://dx.doi.org/10.1103/PhysRevLett.101.064301}, volume = {101}, year = {2008} }

TY - JOUR ID - citeulike:3094375 L3 - citeulike-article-id:3094375 TI - Doing Arithmetic With Nonlinear Acoustic Vortices JF - Physical Review Letters VL - 101 IS - 6 PB - APS N2 - Phase singularities of wave-front-like screw dislocations or vortices possess a well-defined quantity that can only take integer value: the topological charge. In the nonlinear regime, it has been demonstrated that optical or acoustical vortices interact and the topological charge follows a conservation law. Here this facility is used in nonlinear parametric interaction of two vortices shifted in frequency to perform sums and subtractions of the topological charge. Thus, we experimentally demonstrate a new technique to perform wave computation in the group of integer . When the two vortices have commensurable frequencies, different combinations give the same frequencies but different tolopological charges may occur. We show that an energy criterion can be used to predict the outcome. A corollary is that a modulation of amplitude of the vortices switches from one result to the other. KW - vortices AU - Marchiano, R\'egis AU - Thomas, Jean PY - 2008/// UR - http://dx.doi.org/10.1103/PhysRevLett.101.064301 ER -