![]() ![]() Deriving the Paraxial Gaussian Beam Formula When we use the term “Gaussian beam” here, it always means a “focusing” or “propagating” Gaussian beam, which includes the amplitude and the phase. Note: The term “Gaussian beam” can sometimes be used to describe a beam with a “Gaussian profile” or “Gaussian distribution”. In a future blog post, we will discuss ways to simulate Gaussian beams more accurately for the remainder of this post, we will focus exclusively on the paraxial Gaussian beam.Ī schematic illustrating the converging, focusing, and diverging of a Gaussian beam. In other words, the formula becomes less accurate when trying to observe the most beneficial feature of the Gaussian beam in simulation. ![]() The limitation appears when you are trying to describe a Gaussian beam with a spot size near its wavelength. However, there is a limitation attributed to using this formula. There is a formula that predicts real Gaussian beams in experiments very well and is convenient to apply in simulation studies. To obtain the tightest possible focus, most commercial lasers are designed to operate in the lowest transverse mode, called the Gaussian beam.Īs such, it would be reasonable to want to simulate a Gaussian beam with the smallest spot size. These qualities are why lasers are such attractive light sources. Gaussian Beam: The Most Useful Light Source and Its Formulaīecause they can be focused to the smallest spot size of all electromagnetic beams, Gaussian beams can deliver the highest resolution for imaging, as well as the highest power density for a fixed incident power, which can be important in fields such as material processing. In a later blog post, we’ll provide solutions to the limitations discussed here. We’ll also provide further detail into a potential cause of error when utilizing this formula. Today, we’ll learn about this formula, including its limitations, by using the Electromagnetic Waves, Frequency Domain interface in the COMSOL Multiphysics® software. To describe the Gaussian beam, there is a mathematical formula called the paraxial Gaussian beam formula. The Gaussian beam is recognized as one of the most useful light sources. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |