Convert Centinepers to Nepers

Convert Centinepers (cNp) to Nepers (Np) instantly and accurately.

Conversion Formula

Np = cNp × 0.01

About Centinepers

The centineper (cNp) is one-hundredth of a neper (1 cNp = 0.01 Np ≈ 0.08686 dB). In fibre-optic engineering, next-generation ultra-low-loss G.654.E optical fibre achieves below 0.15 dB/km ≈ 1.73 cNp/km at 1550 nm. Transmission-line textbooks (Pozar, Collin) use nepers per metre for the attenuation constant α; the centineper resolves sub-1-dB precision commonly needed in filter and amplifier characterisation. In underwater acoustics, seawater absorption at 100 kHz (relevant for high-frequency sonar) is ≈ 0.04 dB/m ≈ 4.6 × 10⁻³ cNp/m (ISO 18405). In hearing science, adaptive psychophysical procedures probe detection thresholds at 0.1 dB step sizes ≈ 1.15 cNp, precision necessary to map fine structure in the auditory threshold contour. 1 cNp = 0.01 Np ≈ 0.08686 dB ≈ 8.686 × 10⁻³ B.

About Nepers

The neper (Np) is the SI-coherent logarithmic unit for levels of field quantities, defined in IEC 80000-3 as L = ln(A₁/A₂) nepers for a field ratio and L = (1/2) × ln(P₁/P₂) nepers for a power ratio. The BIPM 9th edition SI Brochure (2019) lists the neper among non-SI units accepted for use with the SI. Named after John Napier (1550–1617), the unit was formalised for telecommunications by the ITU in the 1930s–1940s. The exact conversion: 1 Np = 20/ln(10) dB ≈ 8.685890 dB; 1 dB = ln(10)/20 Np ≈ 0.115129 Np. In wave physics, the propagation constant γ = α + jβ has the attenuation constant α in Np/m: 1 Np/m means amplitude decays by 1/e per metre. In digital signal processing, a z-plane pole at radius r decays as r^n = e^{n×ln(r)}, with ln(r) in nepers per sample. 1 Np = 20/ln(10) dB ≈ 8.685890 dB ≈ 0.868589 B.

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