Fiber Optics Temperature and fiber

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Subject Author Date
Temperature and fiber Michelot 01-28-09
Posted by Michelot on January 28, 2009, 9:40 am
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Bonjour,

(1) Would you have please a real value for a temperature parameter of
a specific fiber?

I took a coefficient a 30 ps/km/K. That is what I found.


(2) I am not sure that we have to write "ps/km/K" or "ps.km.K". Thanks
for your opinion.

Best regards,
Michelot

Posted by Phil Hobbs on January 31, 2009, 5:39 pm
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Michelot wrote:
> Bonjour,
>
> (1) Would you have please a real value for a temperature parameter of
> a specific fiber?
>
> I took a coefficient a 30 ps/km/K. That is what I found.
>
>
> (2) I am not sure that we have to write "ps/km/K" or "ps.km.K". Thanks
> for your opinion.
>
> Best regards,
> Michelot

That's just the temperature coefficient of optical path length in
quartz, about 10**-5/K. (Almost all types of glass are near that
value--TC_opl = dn/dT + n*CTE--quartz has a high dn/dT but low CTE,
whereas other glasses have lower dn/dT and higher CTE.) Most of the
time, if you have a fibre application for which that matters, you'll
have a much worse time with etalon fringes and scatter than with
temperature coefficient.

Cheers,

Phil Hobbs

Posted by Michelot on February 1, 2009, 3:30 pm
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Bonsoir Phil,

Thanks for this interesting reply.

> That's just the temperature coefficient of optical path length in
> quartz, about 10**-5/K. (Almost all types of glass are near that
> value--TC_opl =3D dn/dT + n*CTE--quartz has a high dn/dT but low CTE,
> whereas other glasses have lower dn/dT and higher CTE.) =A0Most of the
> time, if you have a fibre application for which that matters, you'll
> have a much worse time with etalon fringes and scatter than with
> temperature coefficient.

This view is a little new for me, let me try this reasoning to see if
I understand correctly.

I wished to consider the coefficient a 30 ps/km/K.

If we can suppose that dn is relatively less than dL, the speed is yet
c =3D 3 x 10e8 m/s. So the 30 ps are given by dL =3D 3 x 10e8 x 30 x
10e-12 =3D 9 x 10e-3 m.

With L =3D 1 km, the coefficient 1/L x dL/dT is 9 x 10e-6, around 10 ppm/
K.

Is it globally correct, or can we improve that?
Best regards,
Michelot



Posted by Phil Hobbs on February 1, 2009, 8:56 pm
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Michelot wrote:
> Bonsoir Phil,
>
> Thanks for this interesting reply.
>
>> That's just the temperature coefficient of optical path length in
>> quartz, about 10**-5/K. (Almost all types of glass are near that
>> value--TC_opl = dn/dT + n*CTE--quartz has a high dn/dT but low CTE,
>> whereas other glasses have lower dn/dT and higher CTE.) Most of the
>> time, if you have a fibre application for which that matters, you'll
>> have a much worse time with etalon fringes and scatter than with
>> temperature coefficient.
>
> This view is a little new for me, let me try this reasoning to see if
> I understand correctly.
>
> I wished to consider the coefficient a 30 ps/km/K.
>
> If we can suppose that dn is relatively less than dL, the speed is yet
> c = 3 x 10e8 m/s. So the 30 ps are given by dL = 3 x 10e8 x 30 x
> 10e-12 = 9 x 10e-3 m.
>
> With L = 1 km, the coefficient 1/L x dL/dT is 9 x 10e-6, around 10 ppm/
> K.
>
> Is it globally correct, or can we improve that?
> Best regards,
> Michelot
>
>
Every kind of common glass I know about has a TC_opl right around there.
Some are a bit more, some a bit less. There are some near zero TCN
(i.e. dn/dT) glasses sold for special uses, e.g. Nd:glass lasers, but
nothing that is commonly made into fibre. You might be able to get a
special run. If you're trying to preserve timing coherence across some
big gizmo e.g. a laser fusion system, and really need that low tempco
because there's no way to control the temperature everywhere, this might
be fine.

If you're building a fibre interferometer or other sensor, you also have
to worry about facet reflections and the piezooptic (stress-optic)
effects e.g. bend birefringence.

Cheers,

Phil Hobbs

Posted by Michelot on February 2, 2009, 5:19 am
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Bonjour Phil,

> Every kind of common glass I know about has a TC_opl right around there.
> =A0 Some are a bit more, some a bit less. =A0There are some near zero TCN
> (i.e. dn/dT) glasses sold for special uses, e.g. Nd:glass lasers, but
> nothing that is commonly made into fibre.

Thanks for that valuable information.


>=A0You might be able to get a
> special run. =A0If you're trying to preserve timing coherence across some
> big gizmo e.g. a laser fusion system, and really need that low tempco
> because there's no way to control the temperature everywhere, this might
> be fine.

My study is more ordinary. I just wanted illustrate the impact of
diurnal and nocturnal temperature on fibres, in relation to the wander
phase noise (slow variations < 10 Hz)

With a delay of 30 ps. km-1.K-1 (even 40 or 50 seems more common),
1000 km on fibres, 20 C of variation, we have a wander of 0,6 to 1 ns.
It's not negligible when the specification can recommand around 5 ns
during a day. Such a wander can only be fitered (at the electrical
level) by a dual memory, with a write timing different on the read
timing.

>>> (2) I am not sure that we have to write "ps/km/K" or "ps.km.K".

You're right Michelot to be not satisfy in what you read. The good
unity is rather "ps.km-1.K-1" or, "ps/(km.K)" or "(ps/km)K-1".

Best regards,
Michelot

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