Simplified, Piecewise Linear Bow Table

Simple, qualitatively chosen bow table for the digital waveguide violin.

• Flat center portion corresponds to a fixed reflection coefficient ``seen'' by a traveling wave encountering the bow stuck against the string
• Outer sections give a smaller reflection coefficient corresponding to the reduced bow-string interaction force while the string is slipping under the bow
• The notation $v_{\Delta}^c$ at the corner point denotes the capture or break-away differential velocity
• Hysteresis is neglected