nondescript said:
There is no need for you to bother him if he doesn`t wish to be bothered - since you "clearly" understand why I`m wrong, I humbly await your enlightenment.
aaaaa00 said:
They may be standard "rule of thumb" metrics, but as far as I can tell, they're not giving you the right answers.
These equations are clearly missing several things.
Lets look at it this way using your figures and your math:
DVD uses a 650 nm laser, and uses a numerical aperture of 0.60.
HD DVD uses a 405 nm laser, and uses a numerical aperture of 0.65.
As you said, disc capacity is proportional to NA^2 / wavelength^2
So if we plug these numbers into your equation, it claims that if a single layer DVD is 4.7 GB, then an HD DVD disc can be no more than about 14.2 GB. According to you, this is the physical upper bound.
Since your own figures for HD DVD indicate the capacity for a single layer disc is 20 GB,
this is clearly not the case.
If we are to accept that your equation is reasonably accurate, either the creators of DVD were incompetent enough to leave out 30% of the possible capacity of the disc (unlikely), or the HD DVD creators were somehow smart enough to get more capacity than is physically possible (really unlikely).
Therefore your calculations have to be flawed in some way. They must not be accounting for other important engineering parameters, some of which may change the assumptions made when the equation was formulated.
Hence my conclusion that something is clearly missing.
And so, IMHO, statements like this:
This is the physical limit - obviously, we need to consider ECC, file system overhead, etc... BD should theoretically allow 71% more data than HD-DVD, but that is clearly not the case. This may reflect a more conservative design.
Are quite frankly wild speculation. (Love the two significant digits of precision using something that is just "a rule of thumb".
)