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Equilibrium mode distribution

About: Equilibrium mode distribution is a research topic. Over the lifetime, 928 publications have been published within this topic receiving 14939 citations.


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Journal ArticleDOI
TL;DR: In this article, a fully distributed forward propagating system was proposed for use with microbend sensors, which relies on selected mode launch in specially designed multimode fiber where a short pulse is launched into the fundamental mode.
Abstract: This letter presents a fully distributed forward propagating system, suitable for use with microbend sensors. The principle relies on selected mode launch in specially designed multimode fiber where a short pulse is launched into the fundamental mode. In the presence of microbend disturbance located down the sensing fiber, light couples from the fundamental to higher-order modes that propagate at different group velocity than the fundamental mode. The position of the disturbance is determined by the time delay between the pulse carried by the fundamental mode and by the pulse carried by higher-order modes. The group velocity difference is maximized by proper construction of the refractive index profile of the proposed fiber. Experimentally produced fibers exhibited difference of group velocities in ranges over 1%. This allows for easy reconstruction of position and amplitude of microbend deformations located down the sensing fiber.

3 citations

Journal ArticleDOI
TL;DR: In this paper, an analysis of delay distortion due to mode conversion in a multimode medium was carried out using an analysis based on modes coupled through power-transfer coefficients, and the expected value of the reconversion magnitude and its delay distribution relative to a driving impulse were found for both the case where the undesired mode loss is distributed (helix damped modes and higher-order circular electric modes) and the case when discrete mode filters are inserted (as in smooth-walled waveguide).
Abstract: Quantitative estimates of delay distortion due to mode conversion in a multimode medium are made using an analysis based on modes coupled through power-transfer coefficients. This results in a simple translation from the spatial distribution of mode conversion to delay distortion without an intermediate step in the frequency domain. The expected value of the reconversion magnitude and its delay distribution relative to a driving impulse are found for (i) the case where the undesired mode loss is distributed (helix damped modes and higher-order circular electric modes) and (ii) the case where discrete mode filters are inserted (as in smooth-walled waveguide). Numerical estimates are given for TE 01 in 2-inch I.D. guides at 55 kmc. For both cases the power in the reconversion echo varies directly as the system length, and the shape of the echo is independent of length. For the case of distributed undesired mode loss the echo to impulse-excitation has an exponential shape in relative delay τ, varying as e−τ/τ 0, and for the case of partially absorbing mode filters the echo is a line-segment approximation to an exponential in τ (Fig. 4). The characteristic delay constant τ 0 is about 0.035 nanosecond for helix damped modes in an all-helix line, and is about 0.106 microsecond for TE 02 in either helix or smooth-walled guide. For solid-walled guide with mode filters every 300 feet the characteristic delay constant (similar to τ 0 ) is about 2 nanoseconds. Estimates are made for signal interference effects from such echoes, taking account of the fact that the most limiting requirements on echoes in some system arrangements occur at τ ≫ τ 0 , where the reconversion power is small. For PCM in smooth-walled copper waveguide with mode filters every 300 or 150 feel, it is concluded that pulse rates of 200 or 400 megabits might be used, with up to 20 or 40 miles respectively between regenerators; beat wavelength straightness variation mode conversion is controlling. for PCM in an all-helix waveguide, it is confluded that a pulse rate up to 5000 megabits and up to 746 miles between regenerators is permitted by mode conversion effects; diameter variations (TE02 conversion) are controlling. For transmission of frequency division multiplex multiplex via a frequency-modulated carrier (FDM-FM), estimates based on the discrete-echo theory of Bennett, Curtis and Rice suggest that 4000-mile transmission of 2000 channel groups is possible in all-helix waveguide; diameter variations are controlling. An rms frequency deviations (σ) increase the allowed system length (z) according to z ≈ (σ)2.8 Even in solid-walled waveguide there is a good prospect for 4000-mile FDM-FM using guide toleraces already achievable. Separate consideration is being given to delay distortion due to wave-guide cutoff dispersion, which will be appreciable in some configurations described and will require equalization.

3 citations

Journal ArticleDOI
TL;DR: In this article, the effect of small irregularities or imperfections in a dielectric waveguide is analyzed, and it is shown that at the frequency of paramount interest for optical communication (cutoff for TM01 mode), the radiated power is 22dB larger than the power scattered into the HE11 mode.
Abstract: The effect on mode propagation of small (with respect to wave-length) irregularities or imperfections in a dielectric waveguide is analysed. Asymptotically, for large frequencies, the power which is scattered in the form of radiation (not guided) has an ω2 behaviour, and that scattered into the modes obeys a 1/ω2 relationship. At the frequency of paramount interest for optical communication (cutoff for TM01 mode), the radiated power is 22dB larger than the power scattered into the HE11 mode.

3 citations

01 Jan 2005
TL;DR: In this paper, the authors proposed a quantification of the differential modal delay (DMD) distribution at the output of the optical fiber waveguide, which is a function of the physical attributes (geometry, distance, launching angle) of the waveguide.
Abstract: A band-limited fixed frequency linearly polarized optical signal excites several modes of propagation when it is launched into a multi-mode dimensioned optical fiber waveguide. This signal will therefore propagate over multiple paths along the transmission medium resulting in different propagation time for each mode. Thus replicas of the input pulse launched into the multimode fiber arrive at the output at different times, with the fundamental mode arriving first. A Differential Modal Delay (DMD) distribution is thus produced at the output of the fiber. The mode distribution, and consequently the modal delay distribution, are both a function of the physical attributes (geometry, distance, launching angle) of the optical waveguide. In optical communication systems this DMD distribution creates signal distortion that limits system designs (power, modulation, noise) and network performance (reach, rate, capacity). Accurate quantification of this DMD distribution is therefore essential to the prediction and improvement of performance.

3 citations

Patent
14 May 1975
TL;DR: In this article, a simple operation on the way of propagating to the low degree mode and the high degree mode propagated of the light fiber was proposed to improve the transmission content and the frequency speciality of light fiber substancally.
Abstract: PURPOSE:To make improve the transmission content and the frequency speciality of the light fiber substancally, by adding the simple operation on the way of propagating to the low degree mode and the high degree mode propagated of the light fiber.

3 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20235
202212
20218
20205
20191
20183