Algorithm for Solving the Optimization Problem for the Temperature Distribution on a Plate

TL;DR

This paper presents an optimization algorithm to maximize the heated area on a thin plate within a specific temperature range, improving the design for ion injectors by increasing the heated area by up to 23.5%.

Contribution

It introduces a novel one-parameter optimization method tailored for maximizing heated surface area within temperature constraints, applied to plate geometry design.

Findings

Heated area can be increased by up to 23.5%.

Optimized plate geometry enhances heating efficiency.

Method applicable to ion injector design.

Abstract

The work describes the maximization problem regarding heating of an area on the surface of a thin plate within a given temperature range. The solution of the problem is applied to ion injectors. The given temperature range corresponds to a required pressure of a saturated gas comprising evaporated atoms of the plate material. In order to find the solution, a one-parameter optimization problem was formulated and implemented leading to optimization of the plate's specific geometry. It was shown that a heated area can be increased up to 23.5% in comparison with the regular rectangle form of a given plate configuration.