Abstract: A rocking actuator and a laser machining apparatus which can suppress a temperature rise of a permanent magnet in a moving-magnet actuator. Even when a steerable mirror is positioned by rapid and continuous motions, highly reliable machining can be performed without degrading machining throughput or hole position accuracy. A cooling jacket for cooling a casing and heat transfer units brought into contact with a coil and the casing are provided. Heat generated in the coil is introduced to the casing through the heat transfer bypass units. Thus, the temperature rise of the coil is suppressed. Radial grooves are provided in the permanent magnet opposed to the coil so as to prevent an eddy current from appearing therein. Groove depth is made not smaller than skin depth expressed by a function of volume resistivity and permeability of the permanent magnet and a fundamental frequency of a current applied to the coil.

Abstract: A method for determining a position of a reference point in which there is no influence of aberration of a camera lens or the like, but an error caused by a failure in shape of an alignment mark can be reduced. An alignment mark consisting of a plurality of pattern portions (and background portions) centering at a design reference point is provided in advance. Positions of centers of border lines of the patterns are calculated. Obtained coordinate values of the centers are averaged in each axial direction. The averaged coordinate values are regarded as coordinate values of a machining reference point. Thus, even when a defect occurs in any pattern portion, an error caused by the defect is reduced so that the accuracy in machining can be improved.

Abstract: A rocking actuator and a laser machining apparatus which can suppress a temperature rise of a permanent magnet in a moving-magnet actuator. Even when a steerable mirror is positioned by rapid and continuous motions, highly reliable machining can be performed without degrading machining throughput or hole position accuracy. A cooling jacket for cooling a casing and heat transfer units brought into contact with a coil and the casing are provided. Heat generated in the coil is introduced to the casing through the heat transfer bypass units. Thus, the temperature rise of the coil is suppressed. Radial grooves are provided in the permanent magnet opposed to the coil so as to prevent an eddy current from appearing therein. Groove depth is made not smaller than skin depth expressed by a function of volume resistivity and permeability of the permanent magnet and a fundamental frequency of a current applied to the coil.

Abstract: To precisely predict the distribution of densities and sizes of void defects comprising voids and inner wall oxide membranes in a single crystal. The computer-based simulation determines, at steps 1 to 7, the distribution of temperatures within a single crystal 14 growing from a melt 12 from the time of its pulling-up to the time of its completing cooling with due consideration paid to convection currents in the melt 12. The computer-based simulation, at steps 8 to 15, determines the density of voids considering the cooling process of the single crystal separated from the melt, that is, the pulling-up speed of the single crystal after the separation from the melt, and reflecting the effect of slow and rapid cooling of the single crystal in the result, and relates the radius of voids with the thickness of inner wall oxide membrane developed around the voids.

Abstract: A silicon single crystal rod (24) is pulled from a silicon melt (13) made molten by a heater (17), and a change in diameter of the silicon single crystal rod every predetermined time is fed back to a pulling speed of the silicon single crystal rod and a temperature of the heater, thereby controlling a diameter of the silicon single crystal rod. A PID control in which a PID constant is changed on a plurality of stages is applied to a method which controls the pulling speed of the silicon single crystal rod so that the silicon single crystal rod has a target diameter and a method which controls a heater temperature so that the silicon single crystal rod has the target temperature. A set pulling speed for the silicon single crystal rod is set so that V/G becomes constant, and an actual pulling speed is accurately controlled so as to match with the set pulling speed, thereby suppressing a fluctuation in diameter of the single crystal rod.

Abstract: To precisely predict the distribution of densities and sizes of void defects comprising voids and inner wall oxide membranes in a single crystal. The computer-based simulation determines, at steps 1 to 7, the distribution of temperatures within a single crystal 14 growing from a melt 12 from the time of its pulling-up to the time of its completing cooling with due consideration paid to convection currents in the melt 12. The computer-based simulation, at steps 8 to 15, determines the density of voids considering the cooling process of the single crystal separated from the melt, that is, the pulling-up speed of the single crystal after the separation from the melt, and reflecting the effect of slow and rapid cooling of the single crystal in the result, and relates the radius of voids with the thickness of inner wall oxide membrane developed around the voids.

Abstract: A silicon single crystal rod (24) is pulled from a silicon melt (13) molten by a heater (17), and a change in diameter of the silicon single crystal rod every predetermined time is fed back to a pulling speed of the silicon single crystal rod and a temperature of the heater, thereby controlling a diameter of the silicon single crystal rod. A PID control in which a PID constant is changed on a plurality of stages is applied to a method which controls the pulling speed of the silicon single crystal rod so that the silicon single crystal rod has a target diameter and a method which controls a heater temperature so that the silicon single crystal rod has the target temperature. A set pulling speed for the silicon single crystal rod is set so that V/G becomes constant, and an actual pulling speed is accurately controlled so as to match with the set pulling speed, thereby suppressing a fluctuation in diameter of the single crystal rod.

Abstract: A method for determining a position of a reference point in which there is no influence of aberration of a camera lens or the like, but an error caused by a failure in shape of an alignment mark can be reduced. An alignment mark consisting of a plurality of pattern portions (and background portions) centering at a design reference point is provided in advance. Positions of centers of border lines of the patterns are calculated. Obtained coordinate values of the centers are averaged in each axial direction. The averaged coordinate values are regarded as coordinate values of a machining reference point. Thus, even when a defect occurs in any pattern portion, an error caused by the defect is reduced so that the accuracy in machining can be improved.

Abstract: A first step models a hot zone in a pulling apparatus of a single crystal as a mesh structure, and a second step inputs physical property values of each member corresponding to meshes combined for each member of the hot zone into a computer. A third step obtains the surface temperature distribution of each member on the basis of the calorific power of a heater and the emissivity of each member, and a fourth step obtains the internal temperature distribution of each member on the basis of the surface temperature distribution and the thermal conductivity of each member, and then further obtains the internal temperature distribution of a molten liquid being in consideration of convection. A fifth step obtains the shape of the solid-liquid interface between the single crystal and the molten liquid in accordance with an isothermal line including a tri-junction of the single crystal. A sixth step repeats said third to fifth steps until the tri-junction becomes the melting point of the single crystal.

Abstract: A first step models a hot zone in a pulling apparatus of a single crystal as a mesh structure, and a second step inputs physical property values of each member corresponding to meshes combined for each member of the hot zone into a computer. A third step obtains the surface temperature distribution of each member on the basis of the calorific power of a heater and the emissivity of each member, and a fourth step obtains the internal temperature distribution of each member on the basis of the surface temperature distribution and the thermal conductivity of each member, and then further obtains the internal temperature distribution of a molten liquid being in consideration of convection. A fifth step obtains the shape of the solid-liquid interface between the single crystal and the molten liquid in accordance with an isothermal line including a tri-junction of the single crystal. A sixth step repeats said third to fifth steps until the tri-junction becomes the melting point of the single crystal.