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2026-11-01104

Fiber-Coupled Light Delivery for Photoreactors: Coupling Efficiency, Uniformity and Loss

Quick answer

Fiber delivery is governed by étendue, not by lamp power: a 1 mm core, NA 0.22 fiber accepts about 4% of a 1 × 1 mm LED die but 30–50% of a xenon arc through a liquid light guide. Budget 0.1–0.3 dB/m attenuation at 365–450 nm, 12.7° half-angle divergence, and ±10% uniformity.

Étendue decides the coupling ceiling

Every optical system conserves throughput, G = A · π · NA², where A is the emitting area and NA the collection cone. A fiber can only swallow the photons that fit inside its own G, so the maximum fraction of a source you can couple in is Gfiber / Gsource. Nothing downstream — bigger lenses, shorter focal lengths, silvered reflectors — changes that ratio. This is why LED-to-fiber losses of 90% are normal and are not a fault of the coupling optics.

SourceEmitting areaGuidePractical couplingDelivered at 300 W / 100 W input
Xenon arc, ellipsoidal reflector0.5 × 1.0 mm3–5 mm liquid light guide, NA 0.530–50%90–150 W
Xenon arc, direct focus0.5 × 1.0 mm1 mm silica, NA 0.225–10%15–30 W
LED, 1 × 1 mm die1.0 mm²1 mm silica, NA 0.223–5%3–5 W
LED, 0.5 × 0.5 mm die0.25 mm²1 mm silica, NA 0.2212–16%12–16 W
Diode laser, 450 nm< 0.01 mm²0.2 mm silica, NA 0.1270–85%—

If you need high irradiance at the end of a fiber, start with a small, bright emitter: halving the die dimension quadruples the coupled fraction. If you need total watts rather than watts per square centimetre, use a liquid light guide and accept its 340 nm cut-off.

Building a loss budget

Coupling is only the first term. A realistic run through a xenon source, one mated connector, 3 m of UV-grade silica and an output collimator looks like this:

StageLossPower remaining
Arc to fiber (40% coupling)−4.0 dB400 mW
SMA connector, one mate−0.5 dB356 mW
3 m fiber at 0.3 dB/m (365 nm)−0.9 dB289 mW
Uncoated exit face, Fresnel−0.16 dB278 mW
Collimating lens (92% transmission)−0.36 dB256 mW

Attenuation is strongly wavelength dependent. Visible-grade silica runs 0.05–0.2 dB/m from 400 to 700 nm, UV-grade high-OH silica 0.3–0.8 dB/m at 365 nm, and 1–3 dB/m at 254 nm where solarisation also darkens the core. Liquid light guides are 0.2–0.5 dB/m in the visible but opaque below 340 nm. Every mated SMA pair costs 0.3–1.0 dB, so each additional connector in a multi-reactor manifold is expensive.

Bending is the quiet killer: a 1 mm core needs a radius above roughly 100 mm, and a 30 mm loop adds 0.5–1.5 dB while pushing light into higher-order modes that change the spot size at the reactor.

Uniformity at the reactor window

A multimode fiber output is not a flat disc. It diverges at the fiber NA: at a working distance z, the spot diameter is roughly d + 2z·tanθ, which for NA 0.22 (θ = 12.7°) means a 1 mm core grows to 14.5 mm at 30 mm. Irradiance therefore falls faster than 1/z² once z exceeds a few core diameters: 1 W out of a 1 mm fiber gives about 600 mW/cm² at 30 mm, but 60 mW/cm² at 95 mm.

For anything larger than a 10 mm target, use a bundle. A 7-fiber bundle randomised round-to-round holds ±10% across a 12 mm spot; a 19-fiber bundle mapped round-to-line holds ±5% across a 50 mm line, which is what a flat-plate window needs. Measure on a 9-point grid and state the index you used — minimum/maximum, or (max−min)/(max+min) — because the two differ by a factor of two on the same data. Target ±10% for rate comparisons and ±5% for a published quantum yield.

When free space wins

Fiber is the wrong tool above roughly 500 mW/cm² over 50 cm²: that is 25 W at the window, or a 70 W source after 40% coupling and 1.5 dB of run loss, and the bundle face will heat. A collimated xenon source or a close-packed LED array is cheaper and more uniform at that scale.

Fiber earns its cost in four situations: the lamp must stay outside a glovebox; one lamp feeds several reactors through a splitter; the reactor sits in a strong magnetic field; or the sample is a photoelectrochemical cell where electrode and beam must be mechanically decoupled. A 1 × 4 multimode splitter yields 20–22% per port after excess loss, not the 25% a naive division predicts.

Frequently asked questions

Can a single fiber deliver one sun, 100 mW/cm²?

Yes, but only over a small area. One watt out of a 1 mm core expands to a 14.5 mm spot at 30 mm working distance, which is 1.65 cm² and therefore about 600 mW/cm². To hold 100 mW/cm² over 1 cm² you need roughly 0.17 W at the window; over 10 cm² you need a bundle and about 2 W of coupled power.

Does the fiber change the emission spectrum?

Not by shaping it. Silica transmits from about 200 nm to 2.4 µm with a smooth attenuation curve, so the spectrum at the exit is the input spectrum attenuated, not filtered. Two exceptions matter: liquid light guides cut off below 340 nm, and some LLG formulations fluoresce faintly under 365 nm, adding a broadband background that a monochromator will see.

How often should coupling be re-checked?

After every connector mating and at least quarterly. Put a power meter at the exit and log the reading against the date and the lamp hours. A drop beyond 10% at constant lamp current points to a damaged or contaminated fiber face rather than to lamp ageing, and the two are easily confused when only the reactor rate is monitored.

Why is my LED coupling so much worse than the datasheet?

Because the datasheet quotes wall-plug radiant power, not radiance into a small cone. A 100 W LED with a 1 mm² die spreads that power over a hemisphere, and a 1 mm, NA 0.22 fiber can only accept about 4% of it. Use a smaller die, a larger core, or a higher-NA bundle; adding a bigger lens only improves the fill of the fiber's own acceptance cone, which is already the limit.

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