We identify and explore a high orbital angular momentum (OAM) harmonics generation and amplification mechanism that manipulates the OAM independently of any other laser property, by preserving the initial laser wavelength, through stimulated Raman backscattering in a plasma. The high OAM harmonics spectra can extend at least up to the limiting value imposed by the paraxial approximation. We show with theory and particle-in-cell simulations that the orders of the OAM harmonics can be tuned according to a selection rule that depends on the initial OAM of the interacting waves. We illustrate the high OAM harmonics generation in a plasma using several examples including the generation of prime OAM harmonics. The process can also be realized in any nonlinear optical Kerr media supporting three-wave interactions. DOI: 10.1103/PhysRevLett.117.265001 Unlike cylindrically symmetrical wave fronts, which have an intensity maximum on-axis and nearly flat wave fronts, OAM lasers have doughnut intensity profiles and helical wave fronts. Since the seminal paper by Allen et al.[1], these unique properties have led to many scientific and technological advances. Experiments demonstrated the generation of entangled photons with OAM, opening new directions in quantum computing [2]. The OAM also promises to greatly enhance optical communications [3]. It plays a pivotal role in super-resolution microscopy [4], allows for new kinds of optical tweezers [5], and it might be even used as a diagnostic for rotating black holes [6]. From a fundamental perspective, all of these important contributions have only been possible because the OAM is a fundamental property of light, which can be controlled as an independent degree of freedom.There are optical processes, such as high harmonic generation [7] (HHG), where independent OAM and frequency manipulations are not allowed. Because energy and momentum are conserved, it is natural to assume that the nth harmonic of a laser pulse with initial OAM level l and photon energy ℏω has OAM nl and energy nℏω. Much effort has been dedicated to demonstrate this hypothesis. Apart from an exceptional result that seemed to break this assumption [8], experiments [9-11] and theoretical modeling [12][13][14] confirmed energy and momentum conservation in HHG, which then became the dominant view of HHG using vortex lasers.In contrast, in this Letter we identify a Raman scattering process to create high OAM harmonics that preserves the laser frequency and total angular momentum, thereby manipulating the OAM independently of any other laser property. An interesting path to produce lasers with very high OAM levels, in which the OAM and frequency harmonics are still coupled, has been recently suggested [9]. As we will show, however, only by independently controlling the OAM and laser frequency can the potential of OAM for several applications (e.g., super-resolution microscopy) become fully realized.We consider a three-wave interaction mechanism, stimulated Raman backscattering, in a plasma [15][16][17][18][19][20...