A generalized Klosterboer-Rutledge model for photothermographic silver-carboxylate media

Klosterboer and Rutledge developed a mathematical model for photothermograp hic systems consisting of silver halide grains, silver carboxylates, develo pment chemistry and binder. The Klosterboer-Rutledge (K-R) model incorporat es several simplifying assumptions, the most limiting of which is the assum ption that the spheres of influence do not overlap. This assumption effecti vely restricts the validity of the model to low grain-number densities. The model has now been modified to remove this restriction resulting in a more general model that resolves the discrepancy between the Klosterboer-Rutled ge model and the observed dependence of D-MAX, contrast and speed on grain- number density The Klosterboer-Rutledge model also treats the spheres of in fluence as spheres with perfectly sharp boundaries.. The generalized model was derived with an arbitrarily shaped region of influence thereby extendin g the validity to more realistic model films. In addition, other simplifyin g assumptions were addressed to complete the generalization of the K-R mode l.