Contents I. Introduction
High-energy lasers are utilized in various directed energy applications that require high-intensity beams [1]. Achieving higher power requires combining multiple laser beams in turbulent atmospheres. Higher-order Gaussian beams, such as Hermite Gaussian and Laguerre Gaussian, provide better efficiency in incoherent beam combination systems [2]. As these beams propagate through the atmosphere, they en-counter various atmospheric effects. Additionally, mechanical instabilities in the laser system can also induce small, rapid, and random movements of the beam, collectively known as mechanical jitter. This phenomenon can cause the beam to deviate from its original path, leading to spot and intensity variations. Consequently, it is essential to investigate the effects of mechanical jitter on spot size and intensity variations. The mean irradiance profile of a Gaussian beam under random jitter is described in [3]. The effect of residual me-chanical jitter has been analyzed on the Gaussian incoherent beam combination through various atmospheric turbulence in [4]. This paper examines mechanical jitter effects on spot size variations in different modes of Hermite Gaussian beams and intensity variations under varying mechanical jitter for incoherent beam combination systems.
