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Beam Modes (TEM00, TEM01, TEM02, TEM10, TEM11) w/ pictures
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godfrey
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Joined: 23 Feb 2006
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PostPosted: 6/02/06, 2:20 PM    Post subject: Beam Modes Reply with quote

I don't know if these images were ever posted on this site, however - I used them (w/o permission) from Shanghai Laser & Optics Century Co., Ltd.

It probably gives the clearest description of beam modes.


The URL to this page can be found at http://www.lasercentury.com/techLasers.asp (under "Laser Modes")


The fundamental TEM00 mode is only one of many transverse modes that satisfy the round-trip propagation criteria. The figure below shows examples of the primary lower-order Hermite-Gaussian (rectangular) solutions to the propagation equation.



Note that the subscripts n and m in the Eigenmode TEM nm are correlated to the number of nodes in the x and y directions. In each case, adjacent lobes of the mode are 180° out of phase.

The propagation equation can also be written in cylindrical form in terms of radius (r) and angle (f). The eigenmodes (Erf) for this equation are a series of axially symmetric modes, which, for stable resonators, are closely approximated by Laguerre-Gaussian functions, denoted by TEMrf. For the lowest order mode, TEM00, the Hermite-Gaussian and Laguerre-Gaussian functions are identical, but for higher order modes, they differ significantly, as shown in the figure below.



Low-order axisymetric resonator modes

The mode, TEM01*, also known as the "bagel" or "doughnut" mode, is considered to be a superposition of the Hermite-Gaussian TEM10 and TEM01 modes, locked in phase quadrature.

In real-world lasers, the Hermite-Gaussian modes predominate since strain, slight misalignment, or contamination on the optics tends to drive the system toward rectangular coordinates. Nonetheless, the Laguerre-Gaussian TEM10 "target" or "bulls-eye" mode is clearly observed in well-aligned gas-ion and helium neon lasers with the appropriate limiting apertures.

Phil
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lhnova
Fusion Laser


Joined: 30 Apr 2006
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PostPosted: 6/02/06, 2:52 PM    Post subject: Re: Beam M Reply with quote

dear god I think I only recognised about a quarter of the words you used in that post...lol...Wink...must read into this mode business a bit...hehe,

but thanks for the post and those diagrams are very handy,Smile

when I shine my laser through some binoculars or some other lense that can diverge the beam greatly I can see the laser switching between modes as it warms up, initially when it is cold it will be in tem00 and then start switching rather fast through a number of them, I think I have seen up to 4 dots (though only visible when the beam is diverged like this) and sometimes it stays on tem01 for a bit before it warms up further...interesting:)

Anyway

cheers

Wicked

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Shroom
Elite Laser


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PostPosted: 6/02/06, 2:53 PM    Post subject: Reply with quote

Wow.....Too many big words! I didn't understand a thing about that. but the first pics u posted, are those the modes taht seem to happen on most WL products? If so, that helped me alot.
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godfrey
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PostPosted: 6/02/06, 3:17 PM    Post subject: Reply with quote

Shroom wrote:
Wow.....Too many big words! I didn't understand a thing about that. but the first pics u posted, are those the modes taht seem to happen on most WL products? If so, that helped me alot.



Mode issues can occur with any laser - gas or diode pumped solid state (DPSS).

There have been many posts in the recent months since I joined the forum asking for assistance to identify a specific problem. Some have been mode related. I thought I'd post this handy reference so you can narrow down your problem, should you have one.

Thus far, mode issues are common - but are not the only problems that can occur. I am not an 'expert'. I've owned various lasers over the years but never became this involved with them until the past year and a half. I do not have any training in lasers, laser repair or optics. More than likely, my guess would be as good as yours. I spend most of the time researching this on the internet. If you know what to look for, and it's not hard...you'll find it.

Phil
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Entity
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PostPosted: 6/02/06, 3:21 PM    Post subject: Reply with quote

Thanks for that informative post!
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pixar
Phoenix Laser


Joined: 12 May 2006
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PostPosted: 6/02/06, 3:38 PM    Post subject: Reply with quote

Yeah, thanks - I've wondered about these modes and have been meaning to search for them. A pity the originating site does not seem to work in FF (links off the many topics do nothing) so I had to blow the dust off IE Smile
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chargerman
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PostPosted: 6/19/06, 8:26 PM    Post subject: Reply with quote

Very nice post Godfrey Wink , nice to see some USEFULL information for a change Exclamation
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xenoz fate
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PostPosted: 6/23/06, 9:22 AM    Post subject: Reply with quote

that post was very usefull Wink
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jmui30
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Joined: 22 Sep 2006
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PostPosted: 10/26/06, 8:18 PM    Post subject: Reply with quote

is ther anything wrong with my laser then? Recently my laser would be very low powered and go from 2 dots to only 1 dot (TEM 01 to TEM 00). Is this something i should tell steve or is this normal and fixable?
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gtfan
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PostPosted: 11/14/06, 2:15 PM    Post subject: Reply with quote

There arent very many ways an end user can force single mode operation. You could operate it at extremly cold temperatures to decrease doppler broadening.

The primary industry methods of "single moding" a laser are as follows:

First method: Reduce cavity size. Cavity mode seperation is defined as C/(2*L). If you reduce L to such a degree that cavity mode seperation is greater than the linewidth, then single mode operation will occur.

The problem with doing this is that it highly restricts your output power because your cavity is tiny.

Second Method: You increase the losses of all other modes except for the mode with the highest Q to such a degree that only the highest Q mode is over the gain threshold. The basic idea of this method is you precisly place a peice of glass into the cavity with parrallel faces. You will get about 75% of your multi-mode output power using this method. Q is defined as (resonant frequency(v))/(linewidth(delta_v))
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ixfd64
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PostPosted: 1/30/07, 11:51 PM    Post subject: Reply with quote

Would "near TEM00" be something like an oval-ish beam?
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The Great Cornholio
Nexus Laser


Joined: 15 Jan 2007
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PostPosted: 2/03/07, 12:44 PM    Post subject: Reply with quote

Laughing TEM modes aside, YOUR AVATAR RULES!!! Laughing
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thecheat
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PostPosted: 2/21/07, 4:43 PM    Post subject: Reply with quote

here are some REAL TEM beam pictures...

TEM01:


TEM02:


TEM03:

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fnugget
Elite Laser


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PostPosted: 5/27/07, 1:50 PM    Post subject: modes Reply with quote

It takes some time for a laser to settle into a steady state. so it probably does switch modes, but TEM00 (it's in the specs, you can see for yourself) seems to be the DESIGNED steady state mode.

By the way, when you talk about lasers, "some time" can be less than 1ms.

You might ask "why do you need different modes?", but I'd just point you to a textbook for the answer. really, it's a long explanation. Just note that it's possible for the laser to switch modes, and a dot is what you want, and if it isnt a dot, you've got a problem.
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Raul-Wesche
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PostPosted: 7/30/07, 1:47 AM    Post subject: Reply with quote

so the lasers that are tem02+ would be like 2 lasers or more ?
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