ZrO-Coated Tungsten Emitter Tip for Longer-Life Bright Electron Beams

The patent changes the geometric parameters of the emitter tip by applying a non-linear taper function that reduces the tip radius more sharply than linear tapering. This parameter change allows the coating material to be concentrated in a smaller volume at the tip, improving brightness while the optimized geometry reduces overall evaporation loss by maintaining lower temperatures in the bulk material.

The patent applies a specific curvature profile to the emitter tip through non-linear tapering, creating an optimized curved surface geometry. This curved geometry enhances the concentration of electric field and coating material at the tip region, improving brightness while the gradual transition reduces stress concentrations that would lead to cracking and premature failure.

The patent applies a non-linear curvature profile to the taper that optimizes the balance between tip sharpness and coating diffusion. The curvature function creates a tip region with sufficiently small radius for high brightness while maintaining a gradual transition zone that facilitates effective coating material diffusion from the bulk to the surface.

The patent changes the geometric parameters by implementing a non-linear taper function that controls the rate of radius reduction along the tip length. This parameter optimization ensures the tip achieves the necessary sharpness for high brightness while maintaining adequate diffusion pathways for the coating material to reach the emission surface effectively.