Mathematical Models for Dental Materials Research by Alex Fok & Hooi Pin Chew

Mathematical Models for Dental Materials Research by Alex Fok & Hooi Pin Chew

Author:Alex Fok & Hooi Pin Chew
Language: eng
Format: epub
ISBN: 9783030378493
Publisher: Springer International Publishing


The attenuation coefficient given by the analytical solution (k = 0.59) is also similar to the value of 0.58 given by the numerical solution above. As shown in Fig. 4.5, the numerical predictions with k = 0.59 approach the experimental data as the number of divisions increases.

Fig. 4.5Convergence of numerical results with increasing number of divisions (n); k = 0.59

4.5 Specular Reflection

The above discussion neglected the loss of irradiance through specular reflection. As the curing light hits the free surfaces of a resin composite, during either its entering into or exiting from the material, a significant portion of it gets reflected back.

Let r be the portion of curing light that is reflected off from a free surface, so 1 − r is the portion of light transmitted through that free surface. The irradiance of light that first enters the resin composite is thus



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