Advantages of Hermite-Gaussian beams?

[macabre]

And areas of usage? I will be glad if you help me.

 

[Paul Colby]

Lasers normally make them so I think you're stuck with them.

 

[macabre]

I took a look at some books there are lots of formulas and too litle information. I want to know what it does? What is the difference from other lasers? etc.

 

[Paul Colby]

I took a look at some books there are lots of formulas and too litle information. I want to know what it does? What is the difference from other lasers? etc.

Not clear what you are asking. A laser is a coherent light source which produce electromagnetic fields (E and B fields). The functional form of these E and B fields is well approximated by a system of functions known as Gaussian Beams. A number of approximations are involved having to do with a paraxial approximation but other than that they form a decent basis for describing laser beams.

Now, how would one use such a function is in making engineering calculations. Let's say you would like to bounce a laser beam off the retroreflectors on the moon the Apollo mission left there. You would need to size the laser and select a telescope to insure that enough light would make the return trip. If you just point a laser pointer at the moon it won't work because the waist size (a fundamental parameter of a gaussian beam which determines the minimum beam diameter at the center of the laser) of the beam is too small and the resulting divergence of the beam too large as a result. One might use gaussian beams to make these estimates.

You can also discuss the various modes of oscillation in a laser using the Hermite functions. This is important especially if you're relying on mode selection in your laser.

I'm by no means an expert on this matter having only briefly looked at the formalism. I think your question is of a type that is often asked by engineering students. I would look at gaussian beams as more of an answer to which you need a question. Some of these questions concern lasers and their applications.