Using a fattening technique which requires a flame with a long hot zone, fibres with both different cladding diameters and NAs can be spliced with low loss. For instance, a standard 125/9.5 µm telecommunications fibre (NA = 0.11), can be spliced to an 80/5.3 µm fibre (NA = 0.21) with 0.1 dB loss.
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O'Brien et al. (1999) studied this question.
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