Apostilb
The apostilb is an unit of luminance. Although generally obsolete, the unit is still used in perimetry to record the level of background illumination (the background luminance of HFA is 31.5 abs but is different for other vendors of visual field devices) .[1] The SI unit of luminance is the candela per square metre (cd/m2). In 1942 Parry Moon proposed to rename the apostilb the blondel, after the French physicist André Blondel.[2] The symbol for the apostilb is asb.
The apostilb is defined in terms of another unit of luminance, the stilb (sb):
- 1 asb = 1/π ⋅ 10−4 sb
- π asb = 1 cd/m2
| cd/m2 (SI unit) ≡ nit ≡ lm/m2/sr |
stilb (sb) (CGS unit) ≡ cd/cm2 |
apostilb (asb) ≡ blondel |
bril | skot (sk) | lambert (L) | foot-lambert (fL) = 1 ⁄ π cd/ft2 | ||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 cd/m2 | = | 1 | 10−4 | π ≈ 3.142 |
107 π ≈ 3.142×107 |
103 π ≈ 3.142×103 |
10−4 π ≈ 3.142×10−4 |
0.30482 π ≈ 0.2919 | ||
| 1 sb | = | 104 | 1 | 104 π ≈ 3.142×104 |
1011 π ≈ 3.142×1011 |
107 π ≈ 3.142×107 |
π ≈ 3.142 |
30.482 π ≈ 2,919 | ||
| 1 asb | = | 1 ⁄ π ≈ 0.3183 |
10−4 ⁄ π ≈ 3.183×10−5 |
1 | 107 | 103 | 10−4 | 0.30482 ≈ 0.0929 | ||
| 1 bril | = | 10−7 ⁄ π ≈ 3.183×10−8 |
10−11 ⁄ π ≈ 3.183×10−12 |
10−7 | 1 | 10−4 | 10−11 | 0.30482×10−7 ≈ 9.29×10−9 | ||
| 1 sk | = | 10−3 ⁄ π ≈ 3.183×10−4 |
10−7 ⁄ π ≈ 3.183×10−8 |
10−3 | 104 | 1 | 10−7 | 0.30482×10−3 ≈ 9.29×10−5 | ||
| 1 L | = | 104 ⁄ π ≈ 3,183 |
1 ⁄ π ≈ 0.3183 |
104 | 1011 | 107 | 1 | 0.30482×104 ≈ 929 | ||
| 1 fL | = | 1 ⁄ 0.30482 ⁄ π ≈ 3.426 |
1 ⁄ 30.482 ⁄ π ≈ 3.426×10−4 |
1 ⁄ 0.30482 ≈ 10.76 |
107 ⁄ 0.30482 ≈ 1.076×108 |
103 ⁄ 0.30482 ≈ 1.076×104 |
10−4 ⁄ 0.30482 ≈ 1.076×10−3 |
1 | ||
Table of SI photometry quantities for reference
[edit]| Quantity | Unit | Dimension [nb 1] |
Notes | ||
|---|---|---|---|---|---|
| Name | Symbol[nb 2] | Name | Symbol | ||
| Luminous energy | Qv[nb 3] | lumen second | lm⋅s | T⋅J | The lumen second is sometimes called the talbot. |
| Luminous flux, luminous power | Φv[nb 3] | lumen (= candela steradian) | lm (= cd⋅sr) | J | Luminous energy per unit time |
| Luminous intensity | Iv | candela (= lumen per steradian) | cd (= lm/sr) | J | Luminous flux per unit solid angle |
| Luminance | Lv | candela per square metre | cd/m2 (= lm/(sr⋅m2)) | L−2⋅J | Luminous flux per unit solid angle per unit projected source area. The candela per square metre is sometimes called the nit. |
| Illuminance | Ev | lux (= lumen per square metre) | lx (= lm/m2) | L−2⋅J | Luminous flux incident on a surface |
| Luminous exitance, luminous emittance | Mv | lumen per square metre | lm/m2 | L−2⋅J | Luminous flux emitted from a surface |
| Luminous exposure | Hv | lux second | lx⋅s | L−2⋅T⋅J | Time-integrated illuminance |
| Luminous energy density | ωv | lumen second per cubic metre | lm⋅s/m3 | L−3⋅T⋅J | |
| Luminous efficacy (of radiation) | K | lumen per watt | lm/W | M−1⋅L−2⋅T3⋅J | Ratio of luminous flux to radiant flux |
| Luminous efficacy (of a source) | η[nb 3] | lumen per watt | lm/W | M−1⋅L−2⋅T3⋅J | Ratio of luminous flux to power consumption |
| Luminous efficiency, luminous coefficient | V | 1 | Luminous efficacy normalized by the maximum possible efficacy | ||
| See also: | |||||
- ↑ The symbols in this column denote dimensions; "L", "T" and "J" are for length, time, and luminous intensity respectively, not the symbols for the units litre, tesla, and joule.
- ↑ Standards organizations recommend that photometric quantities be denoted with a subscript "v" (for "visual") to avoid confusion with radiometric or photon quantities. For example: USA Standard Letter Symbols for Illuminating Engineering USAS Z7.1-1967, Y10.18-1967
- 1 2 3 Alternative symbols sometimes seen: W for luminous energy, P or F for luminous flux, and ρ for luminous efficacy of a source.
See also
[edit]Other units of luminance:
- Lambert (L)
- Skot (sk)
- Bril (bril)
- Nit (nit)
- Foot-lambert (fL)
References
[edit]- ↑ "IPS Perimetric Standards, 1978". Imaging and Perimetry Society. 1978.
- ↑ Moon, Parry (June 1942). "A system of photometric concepts". Journal of the Optical Society of America. 32 (6): 356. Bibcode:1942JOSA...32..348M. doi:10.1364/JOSA.32.000348.
The unit is pi times the lumens per square meter per steradian. Such a name is impossibly cumbersome, so a new name is proposed, the blondel, after André Blondel who did pioneer work in photometric nomenclature.