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In picture-tube design, the nature of a shadow mask curvature and that of a correction lens appear to be different. However, in reality, there are many similarities between the two. Firstly, curvatures are expressed by first-order differential equations. Secondly, test tubes are made using a tentative curvature to acquire information on the direction from which electron beams impinge on the panel. Further, depending on the curvature, it is necessary to manipulate numerical data to eliminate the non-integrability of given equations. This paper describes a method that enables solving such curvature problems directly by using the least square approximate polynomial. The method can be used whenever the equations are non-integrable. The method is illustrated using a shadow mask design for stripe-screen tubes.

eizō jōhō media gakkaishi/eizo joho media gakkaishi

A Method for Getting Approximate Polynomial Solution to the Equations for Curved Surfaces that Appear in Color Picture Tube Design with Characteristic Conditions.