Min Phase Horn with Faital Drivers at German DIY Show in Gelsenkirchen

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So, I can't exactly see how "refraction" enters the picture in audio - no?

Of course there is refraction in audio.

It can be heard at beach in summer with the hot sand, it's exactly the same thing with optic but with a different angle.

An externally hosted image should be here but it was not working when we last tested it.


For exemple in this picture if we change the eye by a mouth and if we have a ear in place of "Normal", the ear hears nothing.
 
If the device you are referring to is that large white washbowl looking one, then judging by the picture it seems to have a convex then concave thence convex flare.

Used in r.f. applications this is known as a Gaussian profile horn, it being used because it has minimal side lobe production.

If this is so then it would also have a very narrow tapering beam, and the hole in the middle is just caused by this fact.
rcw.
 
If the device you are referring to is that large white washbowl looking one, then judging by the picture it seems to have a convex then concave thence convex flare.
rcw.


Actually no – contour is monotony.
The contour of the "large white washbowl looking one" is pretty similar to what you can see in :

http://www.diyaudio.com/forums/multi-way/103872-geddes-waveguides-67.html#post1930266


The polar performance should also be comparable with some up shift in frequency as the mouth diameter is slightly less than shown there.
But - you never know about the exact wave front delivered by a compression driver.
So auditioning is the final judge I'm afraid.

There were plenty of "big horn" 2-way concepts for movie theatres out there, like the biiig JBL bi-radial's and comparable ones from EV – but mostly combined with 15" or dual 15".
Their sound isn't any bad in the voice region *if* you stay with decent SPL levels and reasonable listening distance – they can almost fool you. They were not as (smoothly) extended in the heights as we demand for a good home speaker of course.
Cranking the volume at complex sounds pushes them into intermodulation distortion easily.

Summing up - a two way could possibly be done for home like levels – but given a *sweet* bandwidth of the min phase horn to be roughly one decade (as pretty usual for horns) we end up at a XO around 1kHz as a starting point for such designs.

For the current make of the min phase horn, a lower XO point of ~700 – 800Hz plus a super tweeter coming in at 8-12 kHz would be my personal preference.
My guess is that because the min phase horn has such smooth roll off at the top, a single capacitor "XO" for the super tweeter would do just fine.

Michael
 
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It must be a trick of the light Micheal but it looks like the sort of horn I mentioned to me, (my poor old bespectacled eyes must be to blame).

Going back in history the two way seems to have began with the Shearer system and this was intended to reproduce the 50-8kHz. Bandwidth optical sound tracks of the time.

Later systems with equalisation went up to around 15kHz.

The two way is simple and can be made with inaudible group delay but with a 15-18inch driver getting bandwidth much higher than 10kHz. Is a problem.

Reckonings that I have done indicate that a two and a half way that covers a 30Hz. 20KHz. bandwidth, with constant directivity from about 1.5k. and minimum phase needs a pair of ten inch drivers, the top one crossing over in this region to the “oskugel” horn I have described, driven by a specially made annular compression driver.

Bi-amped with a suitable digital crossover, and d.s.p this should give a very good replication of the electrical input signal over at least a sixty degree wide twenty high window.

All it needs is someone with a few million bucks to throw at it, although a diy version with a shallow waveguide driven by a seas 27 series tweeter should also be worthwhile.
Rcw.
 
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- are there any examples for really good working combinations of a 18" plus a 1,5"? If *that* could be made sounding smooth and live like throughout -

I know one that is darn close. My buddy John's "Big Boys." P-Audio 18" coax on open baffle. He is still working out the crossover kinks.
Dynamic, big, live, and with great depth and imaging. One of the best 2-ways I've heard. We had it at the 2008 RMAF and it even in its early form it easily trounced 90% of what was there.

It can be done.
 
Going back in history the two way seems to have began with the Shearer system and this was intended to reproduce the 50-8kHz. Bandwidth optical sound tracks of the time.
.


This one?

shearer5a_small.jpg

taken from : http://www.audioheritage.org/html/profiles/lmco/shearer.htm



Reckonings that I have done indicate that a two and a half way that covers a 30Hz. 20KHz. bandwidth, with constant directivity from about 1.5k. and minimum phase needs a pair of ten inch drivers, the top one crossing over in this region to the “oskugel” horn I have described, driven by a specially made annular compression driver.

Keep us updated please – drawings, measurements, simus etc....
;)


I know one that is darn close. My buddy John's "Big Boys." P-Audio 18" coax on open baffle. He is still working out the crossover kinks.
Dynamic, big, live, and with great depth and imaging. One of the best 2-ways I've heard. We had it at the 2008 RMAF and it even in its early form it easily trounced 90% of what was there.

It can be done.

I missed that – are there any pix or further comments on the web on this one?

Michael
 
I doubt - let me explain :

To construct for a simple experimental setup - assume a chain of - say 3 ideal masses coupled by say 2 ideal springs (which equals a set of three elastic spheres).

Then we apply force to the first mass only ans watch the other ones - where do you see any possibility to have a delay?

Sure - the third mass in the chain will not move with the same *initial speed* but for certain even the third mass *must* move the very same moment where at which the first mass in the chain gets moved by the force we apply.

So - by definition - there is *no* "delay" - IMO.
When the idea was expressed in terms of "elastic sphere" I assume there to be deformation of the sphere as the energy is transferred through it. That deformation, then return to shape occurs over a period of time, a delay.

When the idea is expressed in terms of a linear spring, there is still some time required for the energy to travel from one end of the spring to the other. This is easier to see in long springs as resonance or expressed as a period. For the transfer to be instantaneous, there can be no deformation. The spring, sphere or transfer medium would have to be rigid, not elastic
 
When the idea was expressed in terms of "elastic sphere" I assume there to be deformation of the sphere as the energy is transferred through it. That deformation, then return to shape occurs over a period of time, a delay.


Hi Ed

I find this topic extremely interesting as I think there is a veeeery basic mistake in that theory, and yes I was referring to an ideal spring – mass chain system or – if you like ideal "elastic spheres" (of a given mass).

The first question is *if* it is correct to decompose a bunch of "ideal spheres" (of a given mass) into a chain of ideal springs and masses. My answer would be yes, as anything else doesn't make sense to me.

It is certainly true that it takes time to *fully* return when you say:
"That deformation, then return to shape occurs over a period of time...."
– same as for an "ideal spring – mass chain" it takes some time until the last mass is FULLY moved - but the point is, the movements STARTS immediately – hence *no delay* - hence no explanation for the time of flight.

So your conclusion
"...., a delay."
isn't correct.

Very strange indeed.

If in doubt you can go to that very simple math that describes how the acceleration of a mass is defined by a force created by a pressed spring.
You will find NO term of *time* in this !


When the idea is expressed in terms of a linear spring, there is still some time required for the energy to travel from one end of the spring to the other. This is easier to see in long springs as resonance or expressed as a period. For the transfer to be instantaneous, there can be no deformation. The spring, sphere or transfer medium would have to be rigid, not elastic

To state that:
" there is still some time required for the energy to travel from one end of the spring to the other. "
is certainly correct as this exactly defines the time of flight. but the point here is you refer to a "linear" real world spring – whereas I refer to an "ideal spring".

The problem at hand is - that we can NOT explain the time of flight in a "linear" real world spring (air, water, rubber, steel, or any material at all) with the concept of ideal spring mass chains.

At least *I* see no chance here! do you?
:)

Michael
 
If in doubt you can go to that very simple math that describes how the acceleration of a mass is defined by a force created by a pressed spring.
You will find NO term of *time* in this !
This is just silly. We know from observation that there is a delay in transmitting the force so any theory that disagrees is just wrong.

More specifically, any math involving a spring uses the spring constant k, usually expressed in newtons/meter which reduces to 9.8*kilograms/second^2. So time is intimately involved in any calcs involving a spring. Water has the equivalent of a higher 'spring constant' (stiffer spring) than air so sound travels faster through water. This is basic freshman-level dynamics and there is no mystery at all to any of it.

Edit: in fluids, the bulk modulus replaces the spring constant. Same idea though except in 3 dimensions.

http://en.wikipedia.org/wiki/Speed_of_sound
 
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" The transmission of sound can be illustrated by using a toy model consisting of an array of balls interconnected by springs. For real material the balls represent molecules and the springs represent the bonds between them. Sound passes through the model by compressing and expanding the springs, transmitting energy to neighboring balls, which transmit energy to their springs, and so on. The speed of sound through the model depends on the stiffness of the springs (stiffer springs transmit energy more quickly). Effects like dispersion and reflection can also be understood using this model."

Wiki is beautiful - but its been written by people too - there are several severe faults in that explanation as already outlined.
If you try to follow my line of argument you immediately see the flaws.

Thend has picked up my point already.

More specifically, any math involving a spring uses the spring constant k, usually expressed in newtons/meter which reduces to 9.8*kilograms/second^2. So time is intimately involved in any calcs involving a spring.

whats that???
Spring constant "k" tells us what force is needed to change spring length (or vice versa)

F = k * delta L

– nothing else - and also no time involved in particular.

Michael
 
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Exactly what balls and springs have to do with sound transmission in air I am not sure.

As a simple model you can look at air as a collection of elastic particles in random motion.

The “mean free path” between these particles is such that they cannot travel very far before banging into another particle.

In this condition the Boltzmann principle of equipartition applies, i.e. for a solid sphere each degree of freedom has the same energy.

In a monotomic gas for instance you can say that the particles have three degrees of freedom, diatomic gasses have five because they have two rotational degrees, this is where Gama comes from, for diatomic gasses it is 1.4, for monotomic 1.6.

From this you can correctly predict that sound travels slower in air because it is largely diatomic and any energy gained by the particles is partitioned to the spin degrees as well as the three spatial ones.

Sound is then an ordered motion superimposed upon this random thermal motion, and when a sufficient number of particles is considered then the ordered motion can be treated statistically as a wave moving in a smooth continuous medium.

Balls and springs can be used as a model if a matrix structure exists that can transmit shear waves, such as in solids.

All of this depends upon the initial assumption that the particles are perfectly elastic and all energy of collision is conserved as motion etc., for air at normal temperatures and pressures this is a reasonable assumption, and the classical theory of sound based upon it works well enough for most practical purposes in audio.

As to there being no time dependence in acceleration, all the laws of motion are “dt”, with respect to time, acceleration being...dv/dt.

In quantum mechanics this is a problem because this implies that a particle can be at an infinite number of points between two points, all quantum mechanical descriptions are then first order in time, acceleration is second order, i.e. d^2x/dt^2.

The formulation of sound that I prefer is one that is based upon first order in time equations because it gives ready access to other first order in time equations. These allow you to make genralisations about the likely and desired solutions to the classical wave equation that are very difficult to do if you just look at it alone.
Rcw.
 
as usual, I only understand a fraction of what you lay out.
:)

" As to there being no time dependence in acceleration, all the laws of motion are “dt”, with respect to time, acceleration being...dv/dt."

The way you put this seems to tell us that there *is* time (delay) involved in acceleration. And exactly this is the flaw I see.

To go into statistics doesn't help IMO either, as there is no additional time *delay* term generated nor defined there ?


Michael
 
In classical mechanics there must be time delay in acceleration.

if you write f=ma, as f=m [dv/dt], if there is no passage of time acceleration becomes infinite, and so does the force needed to cause the acceleration.

This is based upon the assumption that time is a continuous directed quantity.
One of the great ironies of physics is that just about every thing is formulated with respect to time and yet nobody has the slightest idea what time is, or indeed if it has any sort of definable existence at all.

When you talk of time then what are you actually talking about? nobody really knows, it is nevertheless a useful concept.
rcw.
 
whats that???
Spring constant "k" tells us what force is needed to change spring length (or vice versa)

F = k * delta L

– nothing else - and also no time involved in particular.

Michael, I can see why Earl gets frustrated trying to discuss (argue) wave theory with you. :)

Force/length is useful in statics. But, if you convert the units, k also means mass/time-squared. That's the "else" used in dynamics. Here in the US, freshman engineering students learn the difference between static behavior such as you describe and dynamic behavior which depends on time. If you had actually read and understood the Wikipedia article on speed of sound, beyond the first couple of sentences that mention the spring and balls, you would have seen the dynamic behavior of fluids and solids explained well enough (with the math) to understand that there is clearly a time component in the dynamic behavior and that the 'speed of sound' is quite real. The equations presented there are (from my fuzzy memory) identical to the ones in my engineering textbooks. And more important, they describe exactly the measured 'time of flight.' Their theory works, yours doesn't. :)

Try this. Drop a pebble in a pond and watch the waves spread outward. Do the waves reach the shore instantly? No. Does it take time for them to get there? Yes. And before RCW jumps all over me, just like the spring thing, the water wave thing is just a simplified example you can see with your eyes to get an intuitive grasp of what is happening.
 
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In researching this problem I have come to certain conclusions outlined bellow.....

You can define a general minimum phase system as one that is positive definite.(ref. available).

The usual definition used in signal processing is that in the transfer function there are no zeros in the right half of the complex plane, this breaks down however for spatial systems since pure time delays have this property and yet are non minimum phase.

We can then say that if we have a class of spatial phenomena that can be described as minimum phase, then they must have a symmetrical matrix which has all positive eigenvalues, it is usual to call these Hermitian, but any other solution to a square matrix that also yields all positive eigenvalues is by this definition minimum phase.

We also don't need to consider all solutions to wave equations in a sphere, all we need is a solution for a unidirectional beam, and there are a class of solutions that are called the parabolic approximations that are suitable for this purpose.

Those that use a Pade series approximation are close to exact over +- 40, degrees from the axis, and useful over a full hemisphere.

A convenient feature of this equation is that it is also the Schrodinger equation, and since all solutions to this are matrices with all positive eigenvalues, then all solutions to the Schrodinger equation are minimum phase.

To be minimum phase the field from the radiating element, and the field caused by its interface with the outside space, via the duct, must be potential fields that sum to a third potential field that then maps conformally to the listening area.

If you can design a device that conforms to all of these criteria then it should be possible to get an exact replication of the input electrical waveform at a useful set of points defining a listening area.

I will not ask for comments because I am sure there will be plenty so I leave it there for now.
rcw.

Excellent response:D

The only non-dispersive wave that I am aware of is the sphere. Would a unidirectional beam be non-dispersive as well?

Thanks,
Thadman:D
 
Dunno if it is of any interest here, but: that speaker in Gelsenkirchen looked impressive, but was lightyears from sounding good...

Sure - of *paramount* interest even - as its the reason for this thread after all!
(all other stuff is only to spend some quality time...)

I'm curious - what's been your impressions? have you heard yourself ? is it you on the picture ? have any spec details ? ....

Michael
 
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