berkeman said:
ghwellsjr said:
Are you sure? I would have thought that if the OTDR measured 10 nsecs, it would have reported 5 feet for the length of the fiber. Please help me understand your answer.
Yes, 10 feet in free space, and more like 5 feet in fiber.
Now this is what I don't understand. We're talking about the OTDR that you said could measure how long it takes light to travel a certain distance. The OTDR has only one detector located at the emitter. It can only measure the round trip time it takes for light to go down a fiber optic cable and return. Even if we were talking about free space, the distance would be 5 feet, not 10 feet, correct? For a fiber optic cable it would be something less than 5 feet but in either case, the OTDR does not report anything according to time, it reports information according to length along the fiber optic cable, doesn't it? That's what
the article you pointed to says.
berkeman said:
ghwellsjr said:
I really don't understand how what you are saying is related to measuring how long it takes for light to reach a distance, which is the subject of this thread.
If you space out high-speed photodetectors (with beam splitters) and use equal length coax cables to get the detected signals to a high-speed oscilloscope, you can see the optical pulse as it hits each photodetector, with the pulses spaced out in time. That's the way I read the OP's question.
ghwellsjr said:
Can we please finish with your first answer regarding the OTDR before going on to other issues?
I guess we are just about finished with the OTDR.
We'll go on to other schemes. Let's assume that instead of coax cables with dielectrics which add the complication of speeds less than that of light, let's use waveguides that don't have that issue, OK? And let's stipulate that the measured value of the speed of light is one foot per nanosecond, OK?
Since you haven't provided any specifics, I'm going to propose a scenario that I think is in agreement with your proposal. Let me know if it isn't.
We start with a photo source that we can switch on at will. We pass the light through a beam splitter that includes a fast photodetector connected by a five-foot straight waveguide to one input of our high-speed oscilloscope. The other beam continues on along a straight path parallel to the waveguide and on to another high-speed photodetector, ten feet away from the beam splitter. This photodetector is connected to a second straight waveguide, also five feet long going back to the other input of the oscilloscope.
Now we switch on the light and we measure a difference in the arrival times of the two pulses of 10 nanoseconds. But have we measured how long it took for the light to get from one photodetector to the other?
I think not. As the light propagates from the beam splitter and the electrical signal propagates in parallel, they travel in tandem for a distance of 5 feet. Then the waveguide signal goes into the oscilloscope while the light continues parallel to the other waveguide for the remaining 5-foot distance to the second photodetector and then the electrical signal travels back on that second waveguide to the oscilloscope. So all we have measured is the roundtrip time for the light to traverse 5 feet in one direction and the electrical signal to traverse 5 feet back the same distance in the opposite direction and we're calling it the one-way time for the light to traverse the 10 foot distance.
I think it is easy to note that we could have made that first straight waveguide any length we wanted and moved the beam splitter an appropriate distance and we would still get a measurement of 10 nanoseconds. At this stage, I think we can see a similarity to the OTDR example if we just eliminate that first waveguide and put the beam splitter right at the input to the oscilloscope with the first photodetector connected directly into the oscilloscope, don't you concur?
All we have done by this scheme is say that the time it takes for the signal to propagate down the waveguide in one direction is identical to the time for the signal to propagate up in the other direction but we haven't measured it to make sure that the statement is true. In fact there is no way to know the answer to this question. That's why Einstein said that we are free to stipulate that the two times are equal, thus creating the concept of relative time.
Lest anyone think I'm nitpicking, let me remind you that in one reference frame, where we define light to propagate at c in all directions, we do not claim that the signal takes the same amount of time to propagate in both directions in a moving waveguide.