Printing System Models - Control of Color Imaging Systems: Analysis and Design - page 577

TABLE 10.7
Parameters of a Phenomenological Model for a Typical Two-Component
Development System

Parameters Cyan Magenta Yellow Black

Equation 10.26 k 0 7 7 7 7

A t [ m C = g] 810.59 783.04 828.84 681.83

Equations
10.30, 10.34,
and 10.35

(t = K) pr [ m m] 8 8 8 8

(t = K) br [ m m] 7.28 7.28 7.28 8.45

V d0 [V] 55 55 55 49

MOR [mg = cm 2 ]

35 35 35 35

u pr [mm = s] 165 165 165 165

u br [mm = s] 260 260 260 260

8.854 10 12 8.854 10 12 8.854 10 12 8.854 10 12 e 0 [C = V-m]

used for developing the electrostatic images formed on the photoconductor surfaces.
Toner is attached to the photoconductor surface by an adhesion force.
Understanding the mechanism of transfer is important because the image density,
the ultimate image quality, and the degree of cleaning required in the printing system
are all directly related to the transfer ef

ciency is the fraction
of the toner transferred to the receiver layer (in this case media) from the donor layer.
To capture the essential underlying physics in the transfer process, Yang

ciency. The transfer ef

- Hartmann

transfer model [22] is considered. A physical model is reviewed below.
A simple transfer system con guration consists of two electrodes, as shown in

Figure 10.22, and includes three regions of dielectric materials (of different thickness
and properties) sandwiched between the two electrodes. The particle layer with
charge density

e 2 exists
between two dielectric substrates with thicknesses d 1 and d 3 and dielectric constants
e 1 and

r (z), thickness d 2 , and an effective dielectric constant

e 3 , respectively; z is a distance variable between 0 and d 2 . An electric
potential, V a , is applied between the electrodes adjacent to the dielectric layers. As

Metal electrode

Dielectric material

d 1

z

Particle layer

V 0

d 2

0

d 3

Dielectric material

Metal electrode

FIGURE 10.22 Configuration of particle and dielectric layers. (From Yang, C.C. and
Hartmann, G.C., IEEE Transactions on Electron Devices, 23, 1976. With permission.)