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MicroPhysics

 

Two-Color Interferometry for the Measurement of Head/Tape Spacing

MICROPHYSICS, INC.

Abstract:
The apparatus and theory used to interferometrically measure head/tape spacing are described.  The interferometric technique requires the use of either a transparent head or transparent tape.  A measurement of average spacing vs. tape speed illustrates the ability to measure variations in spacing on the order of one or
two nanometers.  In addition, an experiment is documented in which a clear head is used in conjunction with
clear tape.  Spacing measurements were made both through the glass head and through the clear tape.  The results agreed to within expected variations which were caused by the surface roughness of the clear tape.  A measurement of head/tape spacing on a real thin-film magnetic head is illustrated which shows an increase in head/tape spacing over the pole tip region due to pole tip recession.

 

Introduction: 
With the current increase in tape recording density, control and understanding of head/tape spacing is becoming more critical for acceptable tape head performance.  Although much head development has been done by a simple visual inspection of white light interference fringes at the head/tape interface, scientific methods exist today which can be used to accurately quantify head/tape spacing.  This paper describes an interferometric method which can measure head/tape spacing with sub-microinch (nanometer) resolution.

 

Measurement Apparatus:
To measure spacing interferometrically either the head or tape must be transparent. Figure 1 illustrates the configuration with a transparent head.

 

 

    

 

Figure 1 :  Two-Color Interferometer Apparatus

 

The system controller synchronizes the stroboscopic illumination and the digital camera read out with the magnetic tape loop position.  Light leaves the strobe and is directed to the head/tape interface using a beam splitter.  Multiple reflections occur at and between the head and tape surface.  The light then goes back through the first beam splitter to a second beam splitter that directs light toward two digital CCD cameras.  Interference filters of a 10 nm bandwidth are used to produce two distinct wavelengths: one color for each camera.  The system controller processes the intensity information from each camera and feeds the data to the host computer for analysis using multi-beam interferometric theory with corrections for phase shift on reflection.  Head/tape spacing can also be measured using real heads in conjunction with transparent tape.  When using real heads, the heads are mounted below the tape rather than above it as shown in Figure 1.

 

Interferometric Theory:
Head/Tape spacing is calculated using multi-beam interferometric theory (Equation 1)[1].

 

                                                               ( 1 )

In Equation 1, r is the amplitude of the external reflection off the lower surface, s is the amplitude of the internal reflection off the upper surface, and is the phase shift between the two reflected wave fronts.

 

                                                                    ( 2 )

 

In Equation (2), h is the head/tape spacing, is the wavelength of the light, and is the combined phase shift due to reflection off the surfaces [1].  The values of r, s, and are typically determined by ellipsometric measurement of the surfaces using light of the same wavelengths as those being used for the interference measurements of spacing [2, 3, 4, 5].

When the spacing is determined by application of Equations 1 and 2, the spacing can be determined independently by each color.  Due to system imperfections, the spacing measurements determined by each color can be different.  If the difference between the two measurements is greater than a pre-specified tolerance, the spacing measurement is rejected, otherwise, a degree of confidence is assigned to the measurement.

 

Measurement Data:
A typical interference image is illustrated in Figure 2. 

 

 Figure 2 :  Interference Fringes at the Head/Tape Interface

 

The data for Figure 2 was taken using a tape from a standard QIC cartridge together with a simple cylindrical glass head contour with a 3.175 mm (0.125 inch) radius. Tape tension was 8.9 gmf/mm (2.0 oz/0.25 in). The tape wrap was 3 degrees per side, and the tape speed was 0.127 m/s (5.0 in/sec).  The corresponding spacing for this intensity is shown in Figure 3.

 

 

 Figure 3 :  Head/Tape Spacing Contour Map, Spacing in Angstroms

 

The spacing shown in Figure 3 is quite variable due to the surface roughness of the standard QIC tape.  In order to get an average spacing, some averaging was done.  Figure 3 is composed of an array of 266 X 118 spacing measurements.  The measurement area is 718 x 318 microns.  In order to plot average spacing along the tape machine direction, the spacing was averaged for rows numbered 20 through 99.  Figure 4 illustrates the spacing along the tape machine direction at four different tape speeds.

 

 Figure 4:  Head/Tape Spacing Measurement Through Glass Head Using QIC Tape

 

 

 Figure 5:  Average Head/Tape Spacing vs. Tape Speed, QIC Tape on a Glass Head

 

In order to verify measurement capability using clear tape, measurements were made using clear tape on the 3.175 mm radius glass head.  The “clear tape” used in this experiment was actually ordinary magnetic tape which had a small window of the front and back coating removed using solvents.  The spacing measurement equipment was synchronized so that the measurement was made at the instant that the clear window was over the head.  Figure 6 shows head/tape spacing measurements with a tape tension of 8.9 gmf/mm (2.0 oz/0.25 in).  The tape wrap was 3 degrees per side.  All conditions are similar to those used for the data in Figure 4 except that different tape is used.  The different tape makes a significant difference in the head/tape spacing behavior.  At lower speeds, the minimum spacing is larger because the surface roughness of the clear tape is larger than the surface roughness of the QIC tape.  At higher speeds, the clear tape exhibits much larger spacing than the QIC tape due to air bearing effects.  The air bearing effect is larger for the clear tape because it is more flexible and therefore has a larger air bearing area than the stiffer tape.  The larger air bearing area causes an increased air bearing effect which in turn increases head/tape spacing.

 

 Figure 6:  Head/Tape Spacing Measurement Through Clear Tape on Glass Head.

 

In order to verify that measurement through clear tape was virtually identical to measurement through a clear head, a similar measurement was made through the glass head using clear tape.  Using the same parameters as used for the data in Figure 6, Figure 7 illustrates the head/tape spacing with the measurement through the glass head.

 

 Figure 7:  Head/Tape Spacing Measurement Through Glass Head on Clear Tape

The measurements shown in Figures 6 and 7 are very similar.  The major cause of difference between the measurements is that different positions of the clear tape were used.  These different positions had different surface roughness characteristics and therefore, resulted in somewhat different spacing measurements.

Figure 8 illustrates the use of clear tape on a real magnetic head.  Higher magnification optics are used to resolve the thin film pole tips.

 

 

 Figure 8: Interference Image using Clear Tape on a Thin Film Head

  

The average spacing in the machine direction is plotted in Figure 9.  The spacing is clearly increased by approximately 30 nm at the region of the pole tips.

 

 Figure 9: Head/Tape Spacing Showing an Increase of Approximately 30 nm Caused by Pole Tip Recession

 

Summary and Comment:
The combination of scientific-grade CCD cameras, strobe illumination, two colors and multi-beam theory provides head/tape spacing measurements which are superior to those previously reported.  Figure 5 illustrates that average spacing changes on the order of one or two nanometers can be resolved using this equipment. 

Figures 6 and 7 indicate that the measurement technique is virtually identical for both through transparent head and through transparent tape applications.  Although the measurement technique is virtually identical, the substitution of transparent tape for magnetic tape can cause significant variations in head/tape spacing behavior if the substitutive tape has different mechanical properties.  Figures 4 and 5 illustrate that substitution of transparent tape with different roughness and stiffness properties causes significant variations in the head/tape behavior.

 

 

References

[ 1 ] Anders, Thin Films in Optics, The Focal Press, London, 1965.

[ 2 ] Lacey, C., Shelor, R., Cormier, A. J. and Talke, F. E., “Interferometric Measurement of Disk/Slider Spacing: the Effect of Phase Shift on Reflection,” IEEE Transactions on Magnetics, Proceedings of the InterMag, September/October 1993.

[ 3 ] Lacey, C. and Talke, F.E., “Measurement and Simulation of Partial Contact at the Head/Tape Interface,” Transactions of the ASME Journal of Tribology, Vol. 114, p.646, October, 1992.

[ 4 ]Muranushi, F., Tanaka, K., and Takeuchi, Y., “Estimation of the Zero Spacing Error Due to a Phase Shift of Reflected Light in Measuring a Magnetic Head Slider’s Flying Height by Light Interference,” Adv. Info. Storage Syst., Vol. 4, p. 371, 1992.

[ 5 ] Born, M. and Wolf, E., Principles of Optics, Pergamon Press, Oxford, 1989.

 

 

Specifications subject to change without notice or obligation.
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