ANNEX II
Laser optical radiation
The biophysically relevant exposure values to optical radiation can be determined with the formulae below. The formulae to be used depend on the wavelength and duration of radiation emitted by the source and the results should be compared with the corresponding exposure limit values indicated in the Tables 2.2 to 2.4. More than one exposure value and corresponding exposure limit can be relevant for a given source of laser optical radiation.
Coefficients used as calculation tools within the Tables 2.2 to 2.4 are listed in Table 2.5 and corrections for repetitive exposure are listed in Table 2.6.
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Notes:
dP
power expressed in watt [W];
dA
surface expressed in square metres [m 2 ];
E (t), E
irradiance or power density : the radiant power incident per unit area upon a surface, generally expressed in watts per square metre [W m -2 ]. Values of E(t), E come from measurements or may be provided by the manufacturer of the equipment;
H
radiant exposure : the time integral of the irradiance, expressed in joules per square metre [J m -2 ];
t
time, duration of the exposure , expressed in seconds [s];
λ
wavelength , expressed in nanometres [nm];
γ
limiting cone angle
of measurement field-of-view expressed in milliradians [mrad];
γ m
measurement field of view expressed in milliradians [mrad];
α
angular subtense
of a source expressed in milliradians [mrad];
limiting aperture : the circular area over which irradiance and radiant exposure are averaged ;
G
integrated radiance: the integral of the radiance over a given exposure time expressed as radiant energy per unit area of a radiating surface per unit solid angle of emission, in joules per square metre per steradian [J m -2 sr -1 ].
Table 2.1
Radiation hazards
Wavelength [nm]
λ
Radiation range
Affected organ
Hazard
Exposure limit value table
180 to 400
UV
eye
photochemical damage and thermal damage
2.2, 2.3
180 to 400
UV
skin
erythema
2.4
400 to 700
visible
eye
retinal damage
2.2
400 to 600
visible
eye
photochemical damage
2.3
400 to 700
visible
skin
thermal damage
2.4
700 to 1 400
IRA
eye
thermal damage
2.2, 2.3
700 to 1 400
IRA
skin
thermal damage
2.4
1 400 to 2 600
IRB
eye
thermal damage
2.2
2 600 to 10 6
IRC
eye
thermal damage
2.2
1 400 to 10 6
IRB, IRC
eye
thermal damage
2.3
1 400 to 10 6
IRB, IRC
skin
thermal damage
2.4
Table 2.2
Exposure limit values for laser exposure to the eye — Short exposure duration < 10 s
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Wavelength a [nm]
Aperture
Duration [s]
10 -13 — 10 -11
10 -11 — 10 -9
10 -9 — 10 -7
10 -7 — 1,8 · 10 -5
1,8· 10 -5 — 5 · 10 -5
5 · 10 -5 — 10 -3
10 -3 — 10 1
UVC
180 — 280
1 mm for t<0,3 s; 1,5 · t 0,375 for 0,3<t<10 s
E = 3 · 10 10 · [W m -2 ]
See note c
UVB
280 — 302
H = 30 [J m -2 ]
303
H = 40 [J m -2 ]; if t < 2,6 · 10 -9 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
304
H = 60 [J m -2 ]; if t < 1,3 · 10 -8 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
305
H = 100 [J m -2 ]; if t < 1,0 · 10 -7 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
306
H = 160 [J m -2 ]; if t < 6,7 · 10 -7 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
307
H = 250 [J m -2 ]; if t < 4,0 · 10 -6 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
308
H = 400 [J m -2 ]; if t < 2,6 · 10 -5 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
309
H = 630 [J m -2 ]; if t < 1,6 · 10 -4 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
310
H = 10 3 [J m -2 ]; if t < 1,0 · 10 -3 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
311
H = 1,6 · 10 3 [J m -2 ]; if t < 6,7 · 10 -3 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
312
H = 2,5 · 10 3 [J m -2 ]; if t < 4,0 · 10 -2 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
313
H = 4,0 · 10 3 [J m -2 ]; if t < 2,6 · 10 -1 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
314
H = 6,3· 10 3 [J m -2 ]; if t < 1,6 · 10 0 then H = 5,6 · 10 3 t 0,25 [J m -2 ] see note d
UVA
315 — 400
H = 5,6 · 10 3 t 0,25 [J m -2 ]
Visible& IRA
400 — 700
7 mm
H = 1,5 · 10 -4 C E [J m -2 ]
H = 2,7 · 10 4 t 0,75 C E [J m -2 ]
H = 5 · 10 -3 C E [J m -2 ]
H = 18 · t 0,75 C E [J m -2 ]
700 — 1 050
H = 1,5 · 10 -4 C A C E [J m -2 ]
H=2,7 · 10 4 t 0,75 C A C E [J m -2 ]
H = 5· 10 -3 C A C E [J m -2 ]
H = 18 ·t 0,75 C A C E [J m -2 ]
1 050 - 1 400
H = 1,5 · 10 -3 C C C E [J m -2 ]
H =2,7 · 10 5 t 0,75 C C C E [J m -2 ]
H = 5 · 10 -2 C C C E [J m -2 ]
H = 90 · t 0,75 C C C E [J m -2 ]
IRB & IRC
1 400 — 1 500
See note b
E = 10 12 [W m -2 ] See note c
H = 10 3 [J m -2 ]
H = 5,6 · 10 3 t 0,25 [J m -2 ]
1 500 — 1 800
E = 10 13 [W m -2 ] See note c
H = 10 4 [J m -2 ]
1 800 — 2 600
E = 10 12 [W m -2 ] See note c
H = 10 3 [J m -2 ]
H = 5,6 · 10 3 · t 0,25 [J m -2 ]
2 600 — 10 6
E = 10 11 [W m -2 ] See note c
H = 100 [J m -2 ]
H = 5,6 · 10 3 · t 0,25 [J m -2 ]
a If the wavelength of the laser is covered by two limits, then the more restrictive applies.
b When 1 400≤λ<10 5 nm: aperture diameter = 1 mm for t ≤ 0,3 s and 1,5 t 0,375 mm for 0,3 s < t < 10 s; when 10 5 ≤λ<10 6 nm: aperture diameter = 11 mm.
c Due to lack of data at these pulse lengths, ICNIRP recommends the use of the 1 ns irradiance limits.
d The table states values for single laser pulses. In case of multiple laser pulses, then the laser pulse durations of pulses falling within an interval T min (listed in table 2.6) must be added up and the resulting time value must be filled in for t in the formula: 5,6 10 3 t 0,25 .
Table 2.3
Exposure limit values for laser exposure to the eye — Long exposure duration ≥ 10 s
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Wavelength a [nm]
Aperture
Duration [s]
10 1 — 10 2
10 2 — 10 4
10 4 — 3 · 10 4
UVC
180 — 280
H = 30 [J m -2 ]
280 — 302
3,5 mm
UVB
303
H = 40 [J m -2 ]
304
H = 60 [J m -2 ]
305
H = 100 [J m -2 ]
306
H = 160 [J m -2 ]
307
H = 250 [J m -2 ]
308
H = 400 [J m -2 ]
309
H = 630 [J m -2 ]
310
H = 1,0 · 10 3 [J m -2 ]
311
H = 1,6 · 10 3 [J m -2 ]
312
H = 2,5 · 10 3 [J m -2 ]
313
H = 4,0 · 10 3 [J m -2 ]
314
H = 6,3 · 10 3 [J m -2 ]
UVA
315 — 400
H = 10 4 [J m -2 ]
Visible
400 — 700
400 — 600 Photochemical b Retinal damage
7 mm
H = 100 C B [J m -2 ]
(γ = 11 mrad) d
E = 1 C B [W m -2 ]; (γ = 1,1 t 0,5 mrad) d
E = 1 C B [W m -2 ]
(γ = 110 mrad) d
400 — 700 Thermal b Retinal damage
if α < 1,5 mrad then E = 10 [W m -2 ]
if α > 1,5 mrad and t ≤ T 2 then H = 18 C E t 0,75 [J m -2 ]
if α > 1,5 mrad and t > T 2 then E = 18 C E T 2
-0,25 [W m -2 ]
IRA
700 — 1 400
7 mm
if α < 1,5 mrad then E = 10 C A C C [W m -2 ]
if α > 1,5 mrad and t ≤ T 2 then H = 18 C A C C C E t 0,75 [J m -2 ]
if α > 1,5 mrad and t > T 2 then E = 18 C A C C C E T 2
-0,25 [W m -2 ] (not to exceed 1 000 W m -2 )
IRB & IRC
1 400 — 10 6
See c
E = 1 000 [W m -2 ]
a If the wavelength or another condition of the laser is covered by two limits, then the more restrictive applies.
b For small sources subtending an angle of 1,5 mrad or less, the visible dual limits E from 400 nm to 600 nm reduce to the thermal limits for 10 s≤ t<T 1 and to photochemical limits for longer times. For T 1 and T 2 see Table 2.5. The photochemical retinal hazard limit may also be expressed as a time integrated radiance G = 10 6 C B [J m -2 sr -1 ] for t > 10s up to t = 10 000 s and L = 100 C B [W m -2 sr -1 ] for t > 10 000 s. For the measurement of G and L γ m must be used as averaging field of view. The official border between visible and infrared is 780 nm as defined by the CIE. The column with wavelength band names is only meant to provide better overview for the user. (The notation G is used by CEN; the notation L t is used by CIE; the notation L P is used by IEC and CENELEC.)
c For wavelength 1 400 — 10 5 nm: aperture diameter = 3,5 mm; for wavelength 10 5 — 10 6 nm: aperture Diameter = 11 mm.
d For measurement of the exposure value the consideration of γ is defined as follows: If α (angular subtense of a source) > γ (limiting cone angle, indicated in brackets in the corresponding column) then the measurement field of view γ m should be the given value of γ. (If a larger measurement field of view is used, then the hazard would be overestimated).
If α < γ then the measurement field of view γ m must be large enough to fully enclose the source but is otherwise not limited and may be larger than γ.
Table 2.4
Exposure limit values for laser exposure of skin
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Wavelength a [nm]
Aperture
Duration [s]
< 10 -9
10 -9 — 10 -7
10 -7 — 10 -3
10 -3 — 10 1
10 1 — 10 3
10 3 — 3 · 10 4
UV (A, B, C)
180-400
3. 5mm
E = 3 · 10 10 [W m -2 ]
Same as eye exposure limits
Visible and IRA
400-700
3. 5mm
E = 2 · 10 11 [W m -2 ]
H=200 C A
[J m -2 ]
H = 1,1 · 10 4 C A t 0,25 [J m -2 ]
E = 2 · 10 3 C A [W m -2 ]
700-1 400
E = 2 · 10 11 C A [W m -2 ]
IRB and IRC
1 400-1 500
E = 10 12 [W m -2 ]
Same as eye exposure limits
1 500-1 800
E = 10 13 [W m -2 ]
1 800-2 600
E = 10 12 [W m -2 ]
2 600-10 6
E = 10 11 [W m -2 ]
a If the wavelength or another condition of the laser is covered by two limits, then the more restrictive applies.
Table 2.5
Applied correction factors and other calculation parameters
Parameter as listed in ICNIRP
Valid spectral range (nm)
Value
C A
λ < 700
C A = 1,0
700 — 1 050
C A = 10 0,002 (λ - 700)
1 050 — 1 400
C A = 5,0
C B
400 — 450
C B = 1,0
450 — 700
C B = 10 0,02 (λ
- 450)
C C
700 — 1 150
C C = 1,0
1 150 — 1 200
C C = 10 0,018 (λ - 1 150 )
1 200 — 1 400
C C = 8,0
T 1
λ < 450
T 1 = 10 s
450 — 500
T 1 = 10 · [10 0,02 (
λ
- 450) ] s
λ > 500
T 1 = 100 s
Parameter as listed in ICNIRP
Valid for biological effect
Value
α min
all thermal effects
α min = 1,5 mrad
Parameter as listed in ICNIRP
Valid angular range (mrad)
Value
C E
α < α min
C E = 1,0
α min < α < 100
C E = α/α min
α > 100
C E = α 2 /(α min · α max ) mrad with α max = 100 mrad
T 2
α < 1,5
T 2 = 10 s
1,5 < α < 100
T 2 = 10 · [10 (α - 1,5 ) / 98,5 ] s
α > 100
T 2 = 100 s
Parameter as listed in ICNIRP
Valid exposure time range (s)
Value
γ
t ≤ 100
γ = 11 [mrad]
100 < t < 10 4
γ = 1,1 t 0,5 [mrad]
t > 10 4
γ = 110 [mrad]
Table 2.6
Correction for repetitive exposure
Each of the following three general rules should be applied to all repetitive exposures as occur from repetitively pulsed or scanning laser systems:
1.
The exposure from any single pulse in a train of pulses shall not exceed the exposure limit value for a single pulse of that pulse duration.
2.
The exposure from any group of pulses (or sub-group of pulses in a train) delivered in time t shall not exceed the exposure limit value for time t.
3.
The exposure from any single pulse within a group of pulses shall not exceed the single‐pulse exposure limit value multiplied by a cumulative-thermal correction factor C p =N
-0,25
, where N is the number of pulses. This rule applies only to exposure limits to protect against thermal injury, where all pulses delivered in less than T min are treated as a single pulse.
Parameter
Valid spectral range (nm)
Value
T min
315 <λ≤ 400
T min = 10 -9 s (= 1 ns)
400 <λ≤ 1 050
T min = 18· 10 -6 s (= 18 μs)
1 050 <λ≤ 1 400
T min = 50· 10 -6 s (= 50 μs)
1 400 <λ≤ 1 500
T min = 10 -3 s (= 1 ms)
1 500 <λ≤ 1 800
T min = 10 s
1 800 <λ≤ 2 600
T min = 10 -3 s (= 1 ms)
2 600 <λ≤ 10 6
T min = 10 -7 s (= 100 ns)