Equation icon  Irradiance distribution

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Resource type: Equation
Description: In rapid prototyping processes such as Stereolithography (SLA), it is important to determine the laser beam's interaction with the prototype resin. Specifically, the distribution of the laser beam's radiant power at the surface of the resin and below will determine the voxel (volume pixel) geometry. The above equation describes the distribution of beam power at a depth = z, when the laser beam's minimum radius coincides with the resin surface, and assumes a Beer-Lambert law of absorption for the resin.

TeX format: {H_{(r,z)} = H_{(r,0)} exp^{\left(\frac{-z}{D_p}\right)}}

H(r,z) {H_{(r,z)}} = irradiance at a distance r from beam centre at a depth of z (W.m-2) {W.m^{-2}}
H(r,0) {H_{(r,0)}} = irradiance at a distance r from beam centre at z = 0 (W.m-2) {W.m^{-2}}
z {z} = depth below resin surface (m) {m}
Dp {D_p} = beam penetration depth (when irradiance = 37% of the surface irradiance) (m) {m}

Keywords: rapid prototyping • energy • irradiance • density • manufacturing • Beer-Lambert • absorption • processing • laser • beam • sintering • melting • cutting • SLM • SLS • SLA • spot size
Categories: Science approaches
Processes > Shaping > Machining
Processes > Shaping > Powder methods
Processes > Shaping > Rapid prototyping
Processes > Surface treatments > Heat treatments
Processes > Thermal treatments > Sintering
Applications > Manufacturing & industry
Properties > Electrical, magnetic & optical > Optical
Created by: The University of Liverpool
License: This resource is released under the Creative Commons Attribution license (2.0 UK: England & Wales).
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Date created: 18 August 2010
Date added: 14 September 2010
Resource ID: 3217