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Either my math, Wikipedia's laser class designation, or every label on every laser pointer is wrong.
2.5mW/cm[sup]2[/sup]? If a 4mW red pointer has a diameter of 5mm:
Diameter = 5mm
D = .5cm
Area = (D/2)[sup]2[/sup]pi
A = (.5cm/2)[sup]2[/sup]pi
A = 0.0625pi cm[sup]2[/sup]
A ~ .2cm[sup]2[/sup]
Power Density = 4mW/.2cm[sup]2[/sup]
D[sub]p[/sub] = 20mW per cm[sup]2[/sup]
A 4mW green With a 1mm beam diameter yields a substantially higher result at 510mW per square cm - clearly above the 2.5mW limit set by the class. So what gives? What did I miss?
Class IIIa
Lasers in this class are mostly dangerous in combination with optical instruments which change the beam diameter or power density. Output power may not exceed 1–5 mW. Beam power density may not exceed 2.5 mW/square cm. Many laser sights for firearms and laser pointers are in this category.
2.5mW/cm[sup]2[/sup]? If a 4mW red pointer has a diameter of 5mm:
Diameter = 5mm
D = .5cm
Area = (D/2)[sup]2[/sup]pi
A = (.5cm/2)[sup]2[/sup]pi
A = 0.0625pi cm[sup]2[/sup]
A ~ .2cm[sup]2[/sup]
Power Density = 4mW/.2cm[sup]2[/sup]
D[sub]p[/sub] = 20mW per cm[sup]2[/sup]
A 4mW green With a 1mm beam diameter yields a substantially higher result at 510mW per square cm - clearly above the 2.5mW limit set by the class. So what gives? What did I miss?