A new method of controllable injection to generate high quality electron bunches in the nonlinear blowout regime driven by electron beams is proposed and demonstrated using particle-in-cell simulations. Injection is facilitated by decreasing the wake phase velocity through varying the spot size of the drive beam and can be tuned through the Courant-Snyder (CS) parameters. Two regimes are examined. In the first, the spot size is focused according to the vacuum CS beta function, while in the second, it is focused by the plasma ion column. The effects of the driver intensity and vacuum CS parameters on the wake velocity and injected beam parameters are examined via theory and simulations. For plasma densities of ∼ 10 19 cm −3 , particle-in-cell (PIC) simulations demonstrate that peak normalized brightnesses 10 20 A/m 2 /rad 2 can be obtained with projected energy spreads of 1% within the middle section of the injected beam, and with normalized slice emittances as low as ∼ 10 nm.Over the past few decades, plasma-based acceleration (PBA), driven by either a laser pulse (LWFA) [1] or particle beam (PWFA) [2], has attracted significant interest in compact particle accelerator and x-ray free-electron-laser (XFEL) applications due to the high accelerating fields ∼ 10 − 100 GV/m they generate [3][4][5][6][7][8][9][10][11][12]. While the generation of ultra-relativistic electron beams through selfinjection in an evolving plasma wake has been observed in LWFA experiments [5][6][7][8] and demonstrated in simulations [13][14][15][16], the beams produced to date do not exhibit the sufficiently low energy spreads σ γ and high normalized brightnesses B n = 2I/ǫ 2 n required to drive XFEL devices [17] where I and ǫ n represent the current and normalized emittance, respectively. In recent years, electron injection schemes involving field ionization [18][19][20][21][22][23] or the use of a plasma density down ramp (DDR) [24][25][26][27][28] have shown tremendous potential for high quality beam generation for XFEL applications.In this Letter, we propose and demonstrate a new method of controllable injection using an electron beam driver whose spot size is decreasing in the nonlinear blowout regime to control the wake phase velocity and hence induce electron trapping. As when using a DDR, this proposed method relies on gradually elongating the ion column or cavity length as the drive beam propagates. In this scheme, injection can be achieved by focusing the electron beam driver over spot sizes, σ r , ranging from the scale length of the blowout radius ∼ r b to spot sizes much less than r b . A schematic of this process is shown in in Fig. 1(a). For spot sizes in this range, we will show that the ion column length and blowout radius slightly increase as σ r decreases and become insensitive to variations in σ r when σ r ≪ r b . Therefore, self-injection can be induced by controlling the focusing of the drive beam. This new approach is also a physically simpler alternative to injection methods such as DDR and Ionization, which require sh...