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After the samples are cut, they need to be inspected for any fractures, delamination, or roughness along the edges and if necessary they need to be sanded The cross-sectional area of each specimen is calculated from the width and thickness in the measurement area Then the individual samples need to be conditioned at 23 C (734 F) and 50 percent relative humidity (RH) for 24 hours Although most specifications recommend conditioning of the material prior to cutting and preparation of the samples, the authors recommend first cutting the specimens to size and then conditioning them This ensures more uniform properties of the individual samples The tests are performed using a standard tension and compression apparatus, which can be operated at a controlled rate of crosshead movement The load-extension curve should be recorded and the specimen tested until it breaks.

The frequency counter was tested with the help of a Wavetek signal generator, and the readings generated by the frequency counter were compared with the readings on an HP oscilloscope (which has a built-in frequency readout mode) (see Figure 17.10). The results are plotted for the 1-s gate period and are illustrated in Figure 17.11 and also

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R = radius of curvature, and k = conic constant as given below: k < 1 Hyperboloid k = 1 Paraboloid 1< k < 0 Ellipsoid k=0 Sphere k>0 Oblate ellipsoid The remaining terms in the preceding equation are the symmetrical deviations from the basic conical form The vertical sag of a spherical surface and an aspheric surface with their basic equations and symmetrical deviation is shown Fig 425: How sag can differentiate between in Figure 425 aspheric and spherical surfaces [49] The manufacture of such aspherics has always been a challenge, especially in infrared window materials and metals Therefore, manufacturers and researchers all over have put in a lot of effort to systematically apply measurement science to the design, manufacture, and the fabrication of highly precise devices to achieve low tolerances, better surface finish and low subsurface damage at a reduced cost The principal use of aspheric lens designs is the reduction or elimination of optical aberrations produced when looking through an ophthalmic lens obliquely We will begin our discussion of aspherics by exploring some of these optical aberrations and their effects For ophthalmic lenses, a lens aberration occurs when rays of light fail to come to a point focus at the ideal image position of the eye (called the far point) as it rotates about its centre Fig 426: Rays of light from an object point strike the lens Astigmatic focusing error, which is obliquely and are focused into two separate focal illustrated in Figure 427, results when lines, instead of a single point focus, results oblique rays of light from an object in the astigmatism [49] periphery strike the lens obliquely Two focal lines are produced from each single object point The dioptric difference between these two focal lines is known as the astigmatic error of the lens Rays of light striking the tangential, or radial, plane of the lens come to a line focus at the tangential focus The resultant focal line is perpendicular to the actual tangential plane Rays striking the sagittal, or the equatorial, plane of the lens come to a line focus at the sagittal focus This focal line is perpendicular to the sagittal plane Both of these planes are shown in Figure 427.

If extensometers are used, it is necessary to minimize the stress on the sample at the contact points of specimen and indicator The tensile strength is calculated by dividing the maximum load at break by the original minimum cross-sectional area The unit is megapascals (MPa) Dividing the elongation at break by the initial gauge length and multiplying it by 100 will calculate percent elongation When extensometers are employed, only the length of the section between them is used; otherwise, the distance between the grips represents the initial gauge length Young s modulus is calculated by drawing a tangent to the linear portion of the stress-strain curve, selecting any point on this tangent, and dividing the tensile stress at that point by the corresponding strain The unit is gigapascals (GPa) For all calculations, the values for 10 samples should be recorded and the average calculated.

In addition to the absolute values for the different mechanical properties, the stressstrain curve gives the materials engineer information about the elastic and plastic portion of the deformation in the laminate samples The elastic (linear) part of the deformation is restorable, whereas plastic changes in the materials are not Figure 123 shows a typical stress-strain curve 12512 Flexural Strength The test method to determine the flexural strength of copperclad laminates is based on ASTM D 790 ( Flexural Properties for Un-Reinforced and Reinforced Plastics and Insulating Material ) and IPC-TM-650, method 244B ( Flexural Strength of Laminates at Ambient Temperatures ) The test method described in the preceding section to determine the modulus in tensile mode does have the inherent problem that the glass reinforcement and its properties have a large influence on the results.

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