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@unpublished{burov:hb2023-tua1i1, author = {A.V. Burov}, title = {{Inverse Stability Problem in Beam Dynamics}}, % booktitle = {Proc. HB'23}, booktitle = {Proc. ICFA Adv. Beam Dyn. Workshop High-Intensity High-Brightness Hadron Beams (HB'23)}, eventdate = {2023-10-09/2023-10-13}, language = {english}, intype = {presented at the}, series = {ICFA Advanced Beam Dynamics Workshop on High-Intensity and High-Brightness Hadron Beams}, number = {68}, venue = {Geneva, Switzerland}, publisher = {JACoW Publishing, Geneva, Switzerland}, month = {04}, year = {2024}, note = {presented at HB'23 in Geneva, Switzerland, unpublished}, abstract = {{Beam stability is conventionally described by means of the stability diagram, which is a threshold line in a complex plane of a particular intensity parameter, the coherent tune shift; the diagram separates stable and unstable states. The incoherent tune spread of the beam particles normally causes the transverse stability diagram to be an asymmetric bell-shaped curve above the real axis; for a given optical nonlinearity, the diagram is determined by the beam distribution function only. Recently, such a diagram was measured by means of an antidamper, see S. Antipov et al., Phys. Rev. Lett. 126, 164801 (2021). Such measurements open the door to a new method of beam diagnostics, finding the beam phase space density as a solution of an inverse stability problem. The main idea, methods of its implementation, possible obstacles and optimizations are discussed.}}, }