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In this study the ultrasonic field distortions and the temperature measurement errors caused by temperature sensing probes were investigated. It was found that probes with diameters equal to or greater than 1/2 of the square root of the wavelength (lambda) scatter and reflect the waves, and thus distort the field significantly. Smaller probes down to lambda 1/2/5 in diameter had a detectable effect which was very local and, therefore, will probably not have a significant effect on the overall temperature distribution. When the temperature measurement errors were studied, even the smallest probes showed some self-heating artifact and its magnitude depended on the probe size, material, structure, orientation, and the operating frequency. This error was small with most of the nonultrasound absorbing probes (such as bare wires or stainless steel needle probes), but significant with plastic shielded thermocouples. The energy absorption associated with plastic coated probes can be reduced by orienting the probe parallel to the beam, by scanning the focus in such a manner that the focus is not passing on the sensor, and by inserting the probe in a stainless steel catheter. The temperature measurement error can also be reduced by covering the plastic probe with a high- (or low-) acoustical impedance material around the sensor. This would scatter the sound around the probe, thus preventing energy absorption in the plastic. This arrangement can preserve the desirable properties of plastic probes (mainly flexibility, strength, and electrical isolation from the patient) while at the same time allowing fairly absorption artifact free measurements.

We present a mathematical framework for enforcing energy conservation in a BRDF by specifying halfway vector distributions in simple two-dimensional domains. Energy-conserving BRDFs can produce plausible rendered images with accurate reflectance behavior, especially near grazing angles. Using our framework, we create an empirical BRDF that allows easy specification of diffuse, specular, and retroreflective materials. We also present a second BRDF model that is useful for data fitting; although it does not preserve energy, it uses the same halfway vector domain as the first model. We show that this data-fitting BRDF can be used to match measured data extremely well using only a small set of parameters. We believe that this is an improvement over table-based lookups and factored versions of BRDF data.

A useful solar-thermal converter requires effective control of heat losses from the hot absorber to the cooler surroundings. Based upon the theory and some experimental measurements it is shown that the spacing between the tilted hot solar absorber and successive glass covers should be in the range 4–8 cm to assure minimum gap conductance. Poor choice of spacing can significantly affect thermal conversion efficiency, particularly when the efficiency is low or when selective black absorbers are used. Recommended data for gap Nusselt number are presented as a function of the Rayleigh number for the high aspect ratios of interest in solar collector designs. It is also shown that a rectangular cell structure placed over a solar absorber is an effective device to suppress natural convection, if designed with the proper cell spacing d, height to spacing ratio L/d and width to spacing ratio W/d needed to give a cell Rayleigh number less than the critical value.