Two basic components make up the value added to a work piece by the micro-electric discharge machining (μEDM) process: form and surface finish. Understanding the correlations between processing parameters and surface finish (topography) is important for the improvement of process design and process control. The relation between process variables and surface topography can be used to improve both process design and control, helping better control the performance of a product by controlling μEDM parameters.

In order to examine the relation between μEDM and the surface topography of stainless steel, a stainless-steel surface can be measured using a laser scanning confocal microscope. These measurements can then be characterized with conventional parameters as well as parameters from multi-scale areal fractal analysis.


The objective of this study was to investigate the relationship between the energy for μEDM of stainless steel and the resulting surface topography, in particular the correlations between topographic characterizations (ASME B46.1) and machining energy. This work also examined the application of laser scanning confocal microscopy for the measurement and graphic representation of surfaces formed by μEDM and addressed the importance of scale in surface measurement and characterization.


A laser scanning confocal microscope (Olympus LEXT OLS4000) was used to measure the topographies of surfaces created by μEDM (surfaces machined by SmalTec GM703) with different discharge energies. These measurements were then analyzed through the use of multi-scale, areal, and complexity analyses. Correlations between energy and relative area, and between energy and area-scale complexity, were tested using linear regression analyses at many different scales. The strengths of the correlations were then analyzed to discern any trends with respect to scale. The correlations between discharge energies and conventional height parameters were also tested, as were the correlations with smooth-rough crossovers. The latter were calculated from area-scale analysis (outlined below).

Surfaces were created on 316L stainless steel using μEDM technology based on a resistive-capacitive circuit system in which different discharge pulse energies are selected by the size of the capacitor in the circuit. If the system fully discharges and recovers before discharging again, the theoretical energy generated is as given in Table 1. This energy determines the maximum material removal rate.

Table 1. Capacitance and potential discharge energies.

The values used in this study represent the most common energies used when manufacturing micro-EDM parts. The tool electrode was formed by pulling a 99.99% tungsten wire with a 3000 rpm spinning mandrel cylinder. The μEDM energy levels used for this study (Figure 1) illustrate that higher capacitance produces a lower natural frequency for the circuit and creates a more energetic discharge.

Figure 1. Image rendered from a surface μEDM-machined with 16 500nJ discharge pulses (100x objective, no zoom). All units in micrometers.

The μEDM-machined surfaces were measured using the LEXT OLS4000, with all measurements made with a 100× objective lens with a numerical aperture (NA) of 0.95 and a 405 nm wavelength laser. Each surface was measured four times over a region of 128×128 μm collecting a 1024×1024 sampling of elevations in each measurement. The sampling interval was approximately 125 nm when no zoom was used (surfaces were measured with no zoom for the analyses). All surfaces were also observed with a 100× objective with zoom of 8×, resulting in the observation of a 16×16 μm region with a sampling interval of approximately 16 nm.

Surface measurements were processed using form removal and modal outlier filtering. Conventional height parameters were also determined.

Figure 2. Image rendered from a surface μEDM-machined with 16 500nJ discharge pulses (100x objective, 8x zoom). All units in micrometers.

Area-scale and complexity scale analyses (ASME B46.1 2009, ISO 25178-2 2012) were performed on the filtered files. Relative surface areas were evaluated over the areal scales available in the measurement, from half the region measured (8,192 m2) to half the square of the sampling interval (0.0078 m2).

The correlations of the relative areas and the area-scale fractal complexities were determined using linear regressions at each of the analyzed scales. Regression coefficients (R2) were determined from linear regression analyses when performed on conventional height parameters and SRCs with respect to discharge energies.