jdc
Well-Known Member
A few numbers of some possible relevance:
The requirement is for a light to be visible at 2 nautical miles, so at 2 x 1852 = 3704 metres.
The luminosity which equates to 'visible' in night time conditions is 2 x 10-7 lumens per sq meter according to the IALA recommendations E-200-2, December 2008.
A bright white LED driven at ~20 mA is of the order of 9 lumens, into a +/- 22.5° solid angle (one should check the spec of what one's using).
Thus this LED, if spread all round 360 degrees of azimuth but still with elevation of +/- 22.5°(achievable for instance by pointing it vertically and reflecting off a silvered cone, as is common in 'solar' garden lights) will be 9 / 360 * 45 = 1.125 lumens.
Applying Allard's law for how it attenuates with distance but assuming no atmospheric absorption gives 1.125 / 37042 = 8 x 10-8 lumens per sq metre, ie a bit less than half the luminosity required.
Thus one has three choices:
1. Drive the LED harder / get a more powerful one, order 25 lumens is easily available.
2. Arrange several LEDs in a 'crown', nominally 8 of them spaced by 45° will be 8x brighter
3. Use an array of, say, 9 LEDs pointing at the silvered cone.
Any of these would easily satisfy the rules.
The requirement is for a light to be visible at 2 nautical miles, so at 2 x 1852 = 3704 metres.
The luminosity which equates to 'visible' in night time conditions is 2 x 10-7 lumens per sq meter according to the IALA recommendations E-200-2, December 2008.
A bright white LED driven at ~20 mA is of the order of 9 lumens, into a +/- 22.5° solid angle (one should check the spec of what one's using).
Thus this LED, if spread all round 360 degrees of azimuth but still with elevation of +/- 22.5°(achievable for instance by pointing it vertically and reflecting off a silvered cone, as is common in 'solar' garden lights) will be 9 / 360 * 45 = 1.125 lumens.
Applying Allard's law for how it attenuates with distance but assuming no atmospheric absorption gives 1.125 / 37042 = 8 x 10-8 lumens per sq metre, ie a bit less than half the luminosity required.
Thus one has three choices:
1. Drive the LED harder / get a more powerful one, order 25 lumens is easily available.
2. Arrange several LEDs in a 'crown', nominally 8 of them spaced by 45° will be 8x brighter
3. Use an array of, say, 9 LEDs pointing at the silvered cone.
Any of these would easily satisfy the rules.