<?xml version="1.0" encoding="UTF-8"?><rss version="2.0"
	xmlns:content="http://purl.org/rss/1.0/modules/content/"
	xmlns:wfw="http://wellformedweb.org/CommentAPI/"
	xmlns:dc="http://purl.org/dc/elements/1.1/"
	xmlns:atom="http://www.w3.org/2005/Atom"
	xmlns:sy="http://purl.org/rss/1.0/modules/syndication/"
	xmlns:slash="http://purl.org/rss/1.0/modules/slash/"
	>

<channel>
	<title>mode field diameter &#8211; Science</title>
	<atom:link href="https://scienmag.com/tag/mode-field-diameter/feed/" rel="self" type="application/rss+xml" />
	<link>https://scienmag.com</link>
	<description></description>
	<lastBuildDate>Fri, 02 Oct 2026 01:34:35 +0000</lastBuildDate>
	<language>en-US</language>
	<sy:updatePeriod>
	hourly	</sy:updatePeriod>
	<sy:updateFrequency>
	1	</sy:updateFrequency>
	<generator>https://wordpress.org/?v=7.1.3</generator>

<image>
	<url>https://scienmag.com/wp-content/uploads/2024/07/cropped-scienmag_ico-32x32.jpg</url>
	<title>mode field diameter &#8211; Science</title>
	<link>https://scienmag.com</link>
	<width>32</width>
	<height>32</height>
</image> 
<site xmlns="com-wordpress:feed-additions:1">73899611</site>	<item>
		<title>Self-Growing Light Waveguides Could Loosen the Tolerances Strangling AI Data Links</title>
		<link>https://scienmag.com/self-growing-light-waveguides-could-loosen-the-tolerances-strangling-ai-data-links/</link>
		
		<dc:creator><![CDATA[Denise Maddox]]></dc:creator>
		<pubDate>Fri, 02 Oct 2026 01:34:35 +0000</pubDate>
				<category><![CDATA[Technology and Engineering]]></category>
		<category><![CDATA[AI data transmission infrastructure]]></category>
		<category><![CDATA[alignment tolerance]]></category>
		<category><![CDATA[dense fiber-array systems]]></category>
		<category><![CDATA[FDTD simulation]]></category>
		<category><![CDATA[fiber-to-chip coupling]]></category>
		<category><![CDATA[light-induced self-written waveguides]]></category>
		<category><![CDATA[LISW technology]]></category>
		<category><![CDATA[misalignment compensation in optical links]]></category>
		<category><![CDATA[mode field diameter]]></category>
		<category><![CDATA[multicore fiber]]></category>
		<category><![CDATA[multicore fiber technology]]></category>
		<category><![CDATA[optical coupling]]></category>
		<category><![CDATA[optical fiber alignment]]></category>
		<category><![CDATA[optical fiber coupling tolerances]]></category>
		<category><![CDATA[optical interconnects]]></category>
		<category><![CDATA[optical waveguide fabrication]]></category>
		<category><![CDATA[photocurable resin]]></category>
		<category><![CDATA[photonic chip manufacturing]]></category>
		<category><![CDATA[photonic chips]]></category>
		<category><![CDATA[photonic integration]]></category>
		<category><![CDATA[refractive-index contrast]]></category>
		<category><![CDATA[S-bend waveguide]]></category>
		<category><![CDATA[silicon photonics]]></category>
		<guid isPermaLink="false">https://scienmag.com/?p=224898</guid>

					<description><![CDATA[Researchers have shown that self-written polymer waveguides with high refractive-index contrast can tolerate micrometer-scale misalignments across short gaps, offering a new route to low-loss coupling in dense AI optical interconnects.]]></description>
										<content:encoded><![CDATA[<p>As artificial intelligence systems swell into some of the largest computing infrastructures ever built, the optical fibers and photonic chips that carry their data are being packed together more tightly than ever. Multicore fibers, silicon photonic chips, and dense fiber-array units promise enormous bandwidth, but they share a stubborn problem: every single optical channel must be aligned with micrometer precision before any light can pass through without loss. When dozens of channels sit side by side, aligning one means aligning all of them, and the required accuracy grows more punishing with every channel added. A new study published in Results in Optics by Yohei Saito, Kota Shikama, and Okihiro Sugihara offers a way out, showing that waveguides which literally grow themselves out of curing light can tolerate misalignments far larger than conventional coupling methods allow, even across surprisingly short gaps.</p>
<p>The technique at the heart of the work is known as a light-induced self-written waveguide, or LISW. The concept dates back to the 1990s and relies on a deceptively simple property of photocurable resin: the material hardens preferentially where the optical field is most intense. When curing light shines out of the facet of an optical fiber or waveguide into a droplet of liquid resin, the resin solidifies along the beam path, forming a thin solid waveguide that extends outward from the facet. If two opposing waveguides face each other across a gap of resin, both emit curing light, and the two self-written guides grow toward each other until they meet. Crucially, if the two waveguides are laterally offset from one another, the resulting structure does not form a straight bridge but an elegant S-shaped curve that bends to connect the two misaligned cores. The waveguide essentially forgives the assembly error by reshaping itself around it.</p>
<p>Earlier demonstrations of LISW connections had already shown respectable alignment tolerances of roughly plus or minus 4 micrometers for standard single-mode waveguides with core diameters of 8 to 9 micrometers. Researchers also knew that widening the gap between the waveguides helped: at a gap of 500 micrometers, tolerances near 10 micrometers had been reported, because a longer connection gives the S-bend more room to curve gently. But stretching the gap creates its own difficulties. A longer waveguide means a longer propagation path and therefore more accumulated loss, and the curing light itself weakens as it travels through the resin through scattering and absorption. Beyond a certain length, the light may simply be too faint to keep polymerizing the resin, and the self-writing process stalls before a usable guide forms. The Japanese team set out to find whether a large alignment tolerance could be achieved without paying the price of a long gap.</p>
<p>Their starting point was geometry. Using an analytical expression relating the lateral offset, the gap, and the bending radius of an S-bend built purely from circular arcs, they showed that for a fixed gap, the maximum tolerable offset depends on how tightly the waveguide can bend before radiating light away. A waveguide that tolerates a smaller bending radius can absorb a larger misalignment at the same gap. That is precisely where the refractive-index contrast, denoted by the Greek letter delta, enters the picture. A high-delta waveguide, in which the core index differs strongly from the cladding index, confines light far more tightly and can sustain sharp curves with little radiation loss. In other words, the team identified a materials-based route to alignment tolerance: instead of stretching the gap to relax the bend, make the waveguide itself bend-tolerant by boosting its index contrast.</p>
<p>To test this idea quantitatively, the researchers ran two-dimensional finite-difference time-domain simulations using the open-source Meep software. They modeled an S-bent LISW connecting two waveguides with 3-micrometer cores and a delta of 2.2 percent, values chosen to resemble the spot-size converters found at the edges of silicon photonic chips. Sweeping the gap, waveguide width, and delta across a physically realistic range, they found a clear trend: larger gaps and higher index contrasts both reduced coupling loss at a fixed lateral offset of 8 micrometers. Just as importantly, at a delta of 1.3 percent or above, the coupling loss became nearly independent of the waveguide width, meaning the connection would be forgiving of fabrication variations as well as assembly errors. A delta of 1.3 percent is well within reach of commercial photocurable resins, whose index rises during photopolymerization as the material&#8217;s molecular structure and density change.</p>
<p>The experimental demonstration used a commercial acrylic resin with a refractive index of 1.49 after curing and 1.47 before, at a wavelength of 1.31 micrometers, corresponding to a delta of about 1.3 percent. The team connected two high-numerical-aperture fibers, each with a mode field diameter of only 3.4 micrometers and an estimated core diameter near 3 micrometers, a deliberately punishing test case since small cores make alignment exquisitely sensitive. Across a gap of just 250 micrometers, the bare fiber-to-fiber coupling loss was a dismal 19.4 decibels, dominated by light diffracting away into the gap. After dispensing resin and irradiating both fibers simultaneously with 405-nanometer laser diodes at minus 15 dBm for 2.5 seconds, the loss collapsed to 0.7 decibels. The self-written bridge had effectively erased the gap.</p>
<p>The headline result came when the researchers deliberately misaligned the fibers. By fitting their loss measurements with a quadratic curve and finding where the excess loss reached 1 decibel, they extracted a 1-dB alignment tolerance of approximately plus or minus 7.4 micrometers, achieved at the modest gap of 250 micrometers. Microscope images confirmed that an S-bent-like waveguide had indeed formed between the offset cores, curving smoothly from one fiber to the other. For small-core devices such as silicon photonic chips and high-delta multicore fibers, whose tiny mode field diameters normally impose brutal alignment demands, a self-forming connector that shrugs off several micrometers of offset at a short gap is a genuinely attractive proposition.</p>
<p>The study is also candid about where theory and experiment diverge. The simulations predicted losses below 1 decibel even at an 8-micrometer offset, yet the measured tolerance was somewhat tighter. The authors attribute the discrepancy to the simplified model: the simulation assumed a uniform refractive index and constant width along the LISW, while the real structure likely varies in both, and its trajectory may mix straight and bent sections that shrink the effective bending radius. The two-dimensional model itself may also shift absolute loss values. Characterizing the actual structure is hard, since the waveguide is minuscule and removing all uncured resin without disturbing it is difficult. The residual 0.7-decibel loss appears to stem mostly from waveguide-related factors rather than resin absorption; transmission measurements through bulk-cured resin samples 200 to 400 micrometers thick differed by less than 0.1 decibel, and three-dimensional simulations of mode-field mismatch at the two fiber interfaces suggest a contribution of roughly 0.4 to 0.5 decibels that higher delta could further reduce.</p>
<p>Gap-dependence experiments added a further caution. At a fixed 8-micrometer offset, losses fell as the gap grew from small values toward about 250 micrometers, matching the simulations, but beyond 300 micrometers the loss climbed again, contrary to the model. At 350 micrometers the loss spiked sharply, driven by severe waveguide defects caused by insufficient curing power; raising the curing power from minus 15 to minus 12 dBm partially rescued the connection, though the loss still exceeded that at 250 micrometers. The physical picture is a tug-of-war: a larger gap gives diverging writing beams more room to overlap geometrically across a given offset, but it also dilutes their intensity, and past a threshold the light can no longer sustain polymerization. The maximum writable offset is therefore set jointly by the numerical aperture, gap, optical power, and resin photosensitivity, meaning that simply lengthening the gap is not a reliable recipe for both low loss and high tolerance.</p>
<p>The takeaway is a new design rule for the interconnects that future AI data centers will depend on. Rather than fighting for ever-finer alignment or stretching gaps until curing light fades, engineers can raise the index contrast of the self-written waveguide itself, letting tight optical confinement buy bending tolerance at short gaps. The work remains an early-stage demonstration on fiber pairs rather than full chip assemblies, and the authors note that optimizing formation conditions and resin parameters could push losses lower still. But the vision is compelling: optical connectors that assemble themselves out of liquid resin, guided by the very light they will one day carry, quietly bending around the imperfections of the machines that place them.</p>
<p><strong>Subject of Research:</strong> High-refractive-index-contrast light-induced self-written waveguides for alignment-tolerant optical coupling</p>
<p><strong>Article Title:</strong> High-alignment-tolerance optical coupling based on high-Δ light-induced self-written waveguides</p>
<p><strong>Article References:</strong> Saito, Y., Shikama, K., &amp; Sugihara, O. (2026). High-alignment-tolerance optical coupling based on high-Δ light-induced self-written waveguides. <em>Results in Optics</em>, Article 101179. <a href="https://doi.org/10.1016/j.rio.2026.101179" rel="noopener noreferrer">https://doi.org/10.1016/j.rio.2026.101179</a></p>
<p><strong>Image Credits:</strong> AI Generated</p>
<p><strong>DOI:</strong> <a href="https://doi.org/10.1016/j.rio.2026.101179" rel="noopener noreferrer">10.1016/j.rio.2026.101179</a></p>
<p><strong>Keywords:</strong> light-induced self-written waveguides, optical coupling, alignment tolerance, silicon photonics, multicore fiber, photocurable resin, refractive-index contrast, FDTD simulation, optical interconnects, mode field diameter, S-bend waveguide, fiber-to-chip coupling</p>
]]></content:encoded>
					
		
		
		<post-id xmlns="com-wordpress:feed-additions:1">224898</post-id>	</item>
		<item>
		<title>Graded-Index Fibre Tapers Shine With Surprisingly High Light Transmission</title>
		<link>https://scienmag.com/graded-index-fibre-tapers-shine-with-surprisingly-high-light-transmission/</link>
		
		<dc:creator><![CDATA[Grant Pearson]]></dc:creator>
		<pubDate>Sun, 13 Sep 2026 00:47:09 +0000</pubDate>
				<category><![CDATA[Technology and Engineering]]></category>
		<category><![CDATA[astrophotonics]]></category>
		<category><![CDATA[compact light delivery systems for astronomical instruments]]></category>
		<category><![CDATA[COMSOL simulation]]></category>
		<category><![CDATA[EXOhSPEC]]></category>
		<category><![CDATA[exoplanets]]></category>
		<category><![CDATA[fibre optic components for exoplanet detection]]></category>
		<category><![CDATA[fibre optics in high-resolution astronomical measurements]]></category>
		<category><![CDATA[fibre taper]]></category>
		<category><![CDATA[FWHM]]></category>
		<category><![CDATA[graded-index fibre]]></category>
		<category><![CDATA[graded-index optical fibres]]></category>
		<category><![CDATA[high light transmission in astrophotonics]]></category>
		<category><![CDATA[high-throughput optical fibres]]></category>
		<category><![CDATA[innovations in optical fibre tapering for astronomy]]></category>
		<category><![CDATA[mode field diameter]]></category>
		<category><![CDATA[mode propagation]]></category>
		<category><![CDATA[optical fibre beam shaping]]></category>
		<category><![CDATA[optical fibres]]></category>
		<category><![CDATA[precision spectrograph design advancements]]></category>
		<category><![CDATA[spectrograph]]></category>
		<category><![CDATA[spectrograph light coupling efficiency]]></category>
		<category><![CDATA[stable light illumination in telescopic systems]]></category>
		<category><![CDATA[tapered optical fibre technology]]></category>
		<category><![CDATA[transmission]]></category>
		<guid isPermaLink="false">https://scienmag.com/?p=200188</guid>

					<description><![CDATA[Laboratory tests and simulations show that tapered graded-index optical fibres can transmit up to 70 percent of coupled light while producing smaller output beams than untapered fibres, offering spectrograph designers an efficient way to shrink starlight for exoplanet hunting.]]></description>
										<content:encoded><![CDATA[<p>Astronomers hoping to detect Earth-like planets around distant stars depend on instruments of extraordinary precision, and one of the least glamorous components in those instruments may now perform far better than expected. A team at the University of Hertfordshire, led by Piyamas Choochalerm together with William E. Martin and Hugh R.A. Jones, has carried out a detailed laboratory and computational study of tapered optical fibres with graded-index cores, showing that these compact light-shaping components can transmit as much as 70 percent of incoming light while simultaneously shrinking the size of the beam they deliver. For spectrograph designers, that combination of high throughput and tight beam geometry is a rare and valuable pairing.</p>
<p>High-resolution spectrographs, the instruments used to measure the tiny velocity wobbles that reveal orbiting exoplanets, traditionally rely on optical fibres to pipe starlight from the telescope into the analysis chamber. Along the way, engineers use image scramblers and coupling optics to keep the illumination stable, because any instability translates into systematic errors in the measured wavelengths. Since the early 2000s, the emerging field of astrophotonics has transformed the humble fibre link from a passive light pipe into an active manipulation tool, spawning devices such as photonic lanterns, octagonal scrambling fibres, and fibre Bragg gratings that suppress contaminating atmospheric emission lines. Yet comparatively little attention has been paid to one of the simplest possible components: a single tapered fibre that gently squeezes a large light beam down to a smaller one.</p>
<p>The motivation for the new work comes from EXOhSPEC, a high-resolution spectrograph under development that requires its input light to arrive through a circular fibre no larger than roughly 10 micrometres across. Meeting that constraint while capturing as many photons as possible is the central challenge of fibre-feed design, because larger telescope fibres collect more starlight but deliver beams too wide for the spectrograph&#8217;s resolving power. A tapered fibre promises to bridge that gap: light enters through a wide multimode core and exits through a narrowed waist, potentially concentrating the field into a few-mode or near-single-mode beam. The question the team set out to answer was how much light survives that compression and what happens to the shape of the emerging beam.</p>
<p>The researchers tested two commercial graded-index fibre tapers fabricated by Thorlabs using a glass-processing machine, alongside an untapered 10-micrometre step-index fibre for comparison. One taper was drawn from a 50-micrometre graded-index fibre and the other from a 62.5-micrometre graded-index fibre, each compressed to a 5:1 taper ratio over a 25-millimetre length, yielding final tapered cores of about 10 and 12.5 micrometres respectively. Graded-index fibres differ from conventional step-index fibres in that their refractive index falls smoothly and parabolically from the centre of the core outward, a profile that continuously refracts light back toward the fibre axis and can strongly confine the guided mode.</p>
<p>To characterise the output, the team built a fibre microscope that images the emitting end face of each fibre onto a sensitive camera at a calibrated magnification of nearly 16, sufficient for a 10-micrometre core to span more than a hundred pixels. They illuminated the fibres in two ways. A coherent red laser diode at 635 nanometres was coupled through a single-mode fibre to excite primarily the fundamental mode, mimicking ideal conditions. In parallel, incoherent white light from a halogen lamp was butt-coupled through multimode fibres of either 10 or 50 micrometres, replicating the messy, mode-jumbled illumination typical of real astronomical feeds. Images were reduced with dark, bias and background calibration frames, and the intensity profiles were fitted with Gaussian functions to extract two complementary width measures: the full width at half maximum, which tracks the projected beam size seen by a spectrograph, and the mode field diameter, defined at the 1/e-squared intensity level, which captures the overall energy confinement of the guided light.</p>
<p>The headline result was counterintuitive. Simple step-index logic suggests that a smaller physical core should always produce a smaller output mode, so the 50-micrometre taper with its 10-micrometre waist ought to win. Instead, under coherent illumination the 62.5-micrometre graded-index taper, whose waist is actually larger at 12.5 micrometres, produced the tightest beam of all three fibres, with a full width at half maximum of just 2.85 micrometres and a mode field diameter of 4.84 micrometres. The 50-micrometre taper followed at 3.33 and 5.66 micrometres, while the untapered step-index fibre trailed at 5.07 and 8.61 micrometres. The explanation lies in the numerical aperture: the larger starting fibre gives the taper a higher effective numerical aperture, which confines light more concentrically and compresses the intensity profile into a narrower, brighter spot.</p>
<p>On the transmission side, the 62.5-micrometre taper delivered nearly 70 percent of the coupled light, essentially matching the throughput of the untapered step-index fibre, while the 50-micrometre taper reached about 49 percent. The researchers caution that their measured values may include some light propagating in the cladding, and that the experimental coupling cannot achieve a perfectly pure fundamental-mode launch, so measured transmissions are expected to exceed idealised predictions. Supporting finite-element simulations performed with COMSOL Multiphysics 6.3, run on the University of Hertfordshire&#8217;s high-performance computing facility, modelled the true-to-scale three-dimensional fibre geometry and confirmed the experimental trends, though the simulations predicted smaller mode sizes of 1.38 and 1.95 micrometres because they assume an ideal fundamental-mode launch free of the micro-bending and mode mixing inherent in bench experiments.</p>
<p>The simulations also probed how modes behave as the taper geometry changes. In the step-index fibre, supported modes uniformly fill the core, and transmission cuts off sharply near the fibre&#8217;s nominal numerical aperture, exactly as textbook theory predicts. In the graded-index tapers, by contrast, there is no sharp cutoff: isolated propagating modes persist at larger effective angles, partly owing to mode conversion, and the mode field diameters of higher-order modes never grow to fill the nominal core as they do in step-index designs. Averaging over the first ten propagating modes and across wavelengths of 450, 635 and 900 nanometres to approximate white light, the calculations showed that both the mode field diameter and the transmitted intensity increase with taper ratio, reinforcing the practical conclusion that gentler tapers preserve light more efficiently.</p>
<p>The practical message for instrument builders is striking. Because even modest taper ratios keep the output mode below 10 micrometres, designers may not need aggressive 5:1 compression at all; a gentler 4:1 taper or less could deliver the required beam size with higher throughput, provided the feeding fibre is chosen to match the taper&#8217;s numerical aperture, for example a narrow 10-micrometre step-index feed rather than a wide 50-micrometre multimode one. The team also found that conventional Gaussian fitting adequately described their measured profiles, with super-Gaussian and elliptical variants offering no significant improvement, simplifying future analyses. As observatories worldwide race to squeeze ever more photons through their spectrographs in pursuit of biosignatures on alien worlds, this unassuming piece of stretched glass may prove that elegant simplicity still has a place at the frontier of astronomical instrumentation.</p>
<p><strong>Subject of Research:</strong> Experimental and simulated transmission and mode-field properties of graded-index tapered optical fibres for high-resolution astronomical spectrograph feeds.</p>
<p><strong>Article Title:</strong> The high transmission of graded-index fibre tapers</p>
<p><strong>Article References:</strong> Choochalerm, P., Martin, W. E., &amp; Jones, H. R. (2026). The high transmission of graded-index fibre tapers. <em>Results in Optics</em>, Article 101138. <a href="https://doi.org/10.1016/j.rio.2026.101138" rel="noopener noreferrer">https://doi.org/10.1016/j.rio.2026.101138</a></p>
<p><strong>Image Credits:</strong> AI Generated</p>
<p><strong>DOI:</strong> <a href="https://doi.org/10.1016/j.rio.2026.101138" rel="noopener noreferrer">10.1016/j.rio.2026.101138</a></p>
<p><strong>Keywords:</strong> graded-index fibre, fibre taper, astrophotonics, spectrograph, mode field diameter, FWHM, transmission, EXOhSPEC, COMSOL simulation, exoplanets, optical fibres, mode propagation</p>
]]></content:encoded>
					
		
		
		<post-id xmlns="com-wordpress:feed-additions:1">200188</post-id>	</item>
	</channel>
</rss>
