Rob, Thank you. That is the area I like to get familiar. Please suggest some references for the quantum level effects and gravitational field effects on Maxwell fields. Sainath -----Original Message----- From: Rob Hinz [mailto:rob@xxxxxxxxxx] Sent: Wednesday, November 28, 2001 9:48 AM To: sainath@xxxxxxxxxxxxx Cc: si-list@xxxxxxxxxxxxx Subject: Re: [SI-LIST] Si-list is one awesome avenue to learn and contribute to Signal Integrity Sainath A couple things you might consider, Maxwell's equations work very well for describing the average effects of many photons. When you start looking at the quantum level effects of small numbers of photons they don't work so well. They also predict that TEM waves in free space will propagate in a straight line but we know that the direction of propagation is effected by gravitational fields. The question Chris was responding to was a philosophical one, comparing how we model reality to reality itself. While we may be able to gain significant insight from a good mathematical model, it remains just that. Physics will prevail. Rob Hinz Senior Electromagnetics Specialist SiQual Corporation rob@xxxxxxxxxx phone (503)885-1231 fax (503)885-0550 http://www.siqual.com At 06:34 PM 11/27/2001 -0800, Sainath Nimmagadda wrote: >Contributors: please don't mislead learners with statements which you can't >support. > >Thanks, >Sainath > >-----Original Message----- >From: si-list-bounce@xxxxxxxxxxxxx >[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Sainath Nimmagadda >Sent: Tuesday, November 27, 2001 11:17 AM >To: cpad@xxxxxxxxx; si-list@xxxxxxxxxxxxx >Subject: [SI-LIST] Re: Square wave harmonics > > > >Chris, > >Just curious, what imperfections did you find with Maxwell equations? > >Sainath > >-----Original Message----- >From: si-list-bounce@xxxxxxxxxxxxx >[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Chris Padilla >Sent: Tuesday, November 27, 2001 10:57 AM >To: si-list@xxxxxxxxxxxxx >Subject: [SI-LIST] Re: Square wave harmonics > > > >Okay, I must pipe in with my 2=A2 worth. > >Back in college, I recall solving some problem for frequency. I ended up=20 >with a quadratic and as we know, there are two answers in the solution of a= >=20 >quadratic. It turns out one answer was positive frequency and the other=20 >was negative frequency. > >Negative frequency??? > >We've always been taught to simply "throw away" the "nonsensical" or=20 >"nonphysical" answer in these cases but does this mean they arent "true" in= >=20 >some sense? (One prof talked about anti-matter and negative frequency=20 >being related in some guise...yikes!) > >Another example from college involved solving for a particular resistor=20 >with in a network of resistors (typical torture problem from an eccentric=20 >professor). The final function was a quadratic and you ended up with a=20 >positive resistance and a negative resistance as solutions. > >Negative resistance??? > >This one isn't so far fetched. Gunn diodes take advantage of the region is= >=20 >which their I/V plot is negatively sloped. Oscillators are made taking=20 >advantage of this. > >In the end, I have concluded that Mathematics is simply (and usually) an=20 >elegant way to get a grasp (i.e. model, represent) on our physical=20 >environment and it isn't perfect. After all, don't most of us take=20 >Maxwell's Equations as gospel? ;^) > >Chris Padilla >EMC Engineer >Cisco Systems > >------------------------------------------------------------------ >To unsubscribe from si-list: >si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field > >or to administer your membership from a web page, go to: >//www.freelists.org/webpage/si-list > >For help: >si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field > >List archives are viewable at: > //www.freelists.org/archives/si-list >or at our remote archives: > http://groups.yahoo.com/group/si-list/messages >Old (prior to June 6, 2001) list archives are viewable at: > http://www.qsl.net/wb6tpu > > >------------------------------------------------------------------ >To unsubscribe from si-list: >si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field > >or to administer your membership from a web page, go to: >//www.freelists.org/webpage/si-list > >For help: >si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field > >List archives are viewable at: > //www.freelists.org/archives/si-list >or at our remote archives: > http://groups.yahoo.com/group/si-list/messages >Old (prior to June 6, 2001) list archives are viewable at: > http://www.qsl.net/wb6tpu > > >------------------------------------------------------------------ >To unsubscribe from si-list: >si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field > >or to administer your membership from a web page, go to: >//www.freelists.org/webpage/si-list > >For help: >si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field > >List archives are viewable at: > //www.freelists.org/archives/si-list >or at our remote archives: > http://groups.yahoo.com/group/si-list/messages >Old (prior to June 6, 2001) list archives are viewable at: > http://www.qsl.net/wb6tpu > Rob Hinz Senior Electromagnetics Specialist SiQual Corporation rob@xxxxxxxxxx phone (503)885-1231 fax (503)885-0550 http://www.siqual.com ------------------------------------------------------------------ To unsubscribe from si-list: si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field or to administer your membership from a web page, go to: //www.freelists.org/webpage/si-list For help: si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field List archives are viewable at: //www.freelists.org/archives/si-list or at our remote archives: http://groups.yahoo.com/group/si-list/messages Old (prior to June 6, 2001) list archives are viewable at: http://www.qsl.net/wb6tpu