![]() |
Analyzing Stub Matching with Reflection Coefficients
Cecil Moore wrote: Jim Kelley wrote: Though, you can't just arbitrarily change the sign in an equation in order to make the answer come out right. For b1 = 0, s11(a1) and s12(a2) *must* be 180 degrees out of phase. cos(180) IS NOT AN ARBITRARY CHANGE! cos(180) = -1 (but you knew that already) Joules per second doesn't have phase, Cecil. Your claim was the value was 1 joule/sec. And the equation is stated pretty clearly in AN-95-1 as the sum of the terms. It doesn't have a minus sign, and it there isn't a cosine term in it. a1 and a2 are complex voltages, and their relative phase take care of itself - unless of course you square the equation. That's how you end up with nonsense like 0=4. I'm done with this. AC6XG |
Analyzing Stub Matching with Reflection Coefficients
Gene Fuller wrote:
Once again you completely avoided the straightforward question. No, I answered in a straightforward manner. You just didn't like the answer. RF energy in a transmission line is photonic. Photons always move at the speed of light. Therefore, photonic energy cannot stand still. QED in more ways than one. -- 73, Cecil http://www.w5dxp.com |
Analyzing Stub Matching with Reflection Coefficients
Jim Kelley wrote:
Joules per second doesn't have phase, Cecil. Your claim was the value was 1 joule/sec. And the equation is stated pretty clearly in AN-95-1 as the sum of the terms. It doesn't have a minus sign, and it there isn't a cosine term in it. a1 and a2 are complex voltages, and their relative phase take care of itself - unless of course you square the equation. That's how you end up with nonsense like 0=4. As you know, I have repeated all this to you before so you cannot possibly still be confused. Why you continue your obfuscation of the truth is really strange. b1 = s11(a1@0deg) + s12(a2@180deg) = 0 1. When we square both sides of the equation, the product of 2*s11(a1@0deg)*s12(a2@180deg) is at 180 degrees so the sign of the term is negative. (but you already knew that) 2. Joules per second doesn't have phase. I have said that over and over. The phase term in the power density equation is the relative phase between the two associated voltages. (but you already knew that) 3. The equation stated in AN-95-1 is a normalized voltage equation which is the sum of phasors - no negative sign required for phasor addition. (but you already knew that) 4. Phasor symbols don't have minus signs and the real value of a phasor is understood to include a cosine term even though it is omitted by convention. (but you already knew that) 5. The general case of the squared equation is the same as the intensity (power density) equations from Hecht and Born & Wolf. It doesn't contain a minus sign. Ptot = P1 + P2 + 2*SQRT(P1*P2)cos(A) A is the angle between the two associated normalized phasor voltages, a1 and a2, and its cosine is sometimes negative. (but you already knew that) I did not end up with nonsense like 0=4. You ended up with nonsense like 0=4 by engaging in deliberate irrational obfuscation. Why you feel the need to act that way is really strange. -- 73, Cecil http://www.w5dxp.com |
Analyzing Stub Matching with Reflection Coefficients
Cecil Moore wrote:
Gene Fuller wrote: Once again you completely avoided the straightforward question. No, I answered in a straightforward manner. You just didn't like the answer. RF energy in a transmission line is photonic. Photons always move at the speed of light. Therefore, photonic energy cannot stand still. QED in more ways than one. Cecil, The question was about your claim that there are different forms of electromagnetic energy. Now you are trying to switch the topic to some babble about photons and the speed of light. I guess you cannot answer the energy question. This is not surprising, since there is no valid answer that brings in some additional form of electromagnetic energy. 73, Gene W4SZ |
Analyzing Stub Matching with Reflection Coefficients
Cecil Moore wrote:
b1 = s11(a1@0deg) + s12(a2@180deg) = 0 Actually, looking at it again, for b1 to be 0, the following would have to be mathematically true. b1 = |s11(a1)| - |s12(a2)| = 0 Now square both sides of the equation and see what you get. -- 73, Cecil http://www.w5dxp.com |
Analyzing Stub Matching with Reflection Coefficients
Gene Fuller wrote:
The question was about your claim that there are different forms of electromagnetic energy. The electromagnetic force is one of the four fundamental forces of nature. It can certainly exist in forms not associated with photons. Excess electrons stored in a capacitor is an example of electromagnetic energy devoid of photons. It is generally accepted that RF TEM waves are photonic in nature being the result of accelerating and decelerating electrons in a transmission line. If you agree with that notion, then you must also admit that RF TEM wave energy cannot stand still and the appearance of such in a standing wave is just an illusion. Otherwise, you need to disprove the notion that RF TEM waves are photonic. -- 73, Cecil http://www.w5dxp.com |
Analyzing Stub Matching with Reflection Coefficients
"Cecil Moore" wrote in message et... Jim Kelley wrote: Joules per second doesn't have phase, Cecil. Your claim was the value was 1 joule/sec. And the equation is stated pretty clearly in AN-95-1 as the sum of the terms. It doesn't have a minus sign, and it there isn't a cosine term in it. a1 and a2 are complex voltages, and their relative phase take care of itself - unless of course you square the equation. That's how you end up with nonsense like 0=4. As you know, I have repeated all this to you before so you cannot possibly still be confused. Why you continue your obfuscation of the truth is really strange. b1 = s11(a1@0deg) + s12(a2@180deg) = 0 1. When we square both sides of the equation, the product of 2*s11(a1@0deg)*s12(a2@180deg) is at 180 degrees so the sign of the term is negative. (but you already knew that) 2. Joules per second doesn't have phase. I have said that over and over. The phase term in the power density equation is the relative phase between the two associated voltages. (but you already knew that) 3. The equation stated in AN-95-1 is a normalized voltage equation which is the sum of phasors - no negative sign required for phasor addition. (but you already knew that) 4. Phasor symbols don't have minus signs and the real value of a phasor is understood to include a cosine term even though it is omitted by convention. (but you already knew that) 5. The general case of the squared equation is the same as the intensity (power density) equations from Hecht and Born & Wolf. It doesn't contain a minus sign. Ptot = P1 + P2 + 2*SQRT(P1*P2)cos(A) A is the angle between the two associated normalized phasor voltages, a1 and a2, and its cosine is sometimes negative. (but you already knew that) I did not end up with nonsense like 0=4. You ended up with nonsense like 0=4 by engaging in deliberate irrational obfuscation. Why you feel the need to act that way is really strange. -- 73, Cecil http://www.w5dxp.com Isnt it true the Cos of the phase term will always be equal to -1 or plus 1, -1 for any value of SWR except 1:1 and 1 for a 1:1 SWR value. I hope this dosnt seem stupid tommorow as I am somewhat sedated and it is late. Jimmie |
Analyzing Stub Matching with Reflection Coefficients
Jimmie D wrote:
Isnt it true the Cos of the phase term will always be equal to -1 or plus 1, -1 for any value of SWR except 1:1 and 1 for a 1:1 SWR value. The context of the present discussion is a Z0-match point at which reflections toward the source are eliminated. For the case of a Z0-match, the cosine of the phase term will indeed always be +1 or -1 as the fields are either in phase or 180 degrees out of phase. If the SWR is 1:1, there is no reflected voltage and therefore a2 = 0 and there is no assignable phase angle between the voltages. In the general case, where reflections are allowed to reach the source, the cosine value can be anything between +1 and -1 as the angle between a1 and a2 can have any value between zero degrees and 360 degrees. -- 73, Cecil http://www.w5dxp.com |
Analyzing Stub Matching with Reflection Coefficients
Cecil Moore wrote:
Gene Fuller wrote: The question was about your claim that there are different forms of electromagnetic energy. The electromagnetic force is one of the four fundamental forces of nature. It can certainly exist in forms not associated with photons. Excess electrons stored in a capacitor is an example of electromagnetic energy devoid of photons. It is generally accepted that RF TEM waves are photonic in nature being the result of accelerating and decelerating electrons in a transmission line. If you agree with that notion, then you must also admit that RF TEM wave energy cannot stand still and the appearance of such in a standing wave is just an illusion. Otherwise, you need to disprove the notion that RF TEM waves are photonic. Cecil, Keep going. You are getting really close to winning the RRAA KONS award. (KONS = King Of Non-Sequiturs) All you need to add to make the top ranking is a quote from Terman. 8-) 73, Gene W4SZ |
Analyzing Stub Matching with Reflection Coefficients
Gene Fuller wrote:
Keep going. You are getting really close to winning the RRAA KONS award. Apparently, you cannot afford to disagree with my posting. Now consider the boundary conditions for a photonic wave and you will probably agree with me that the energy in a photonic wave cannot be stored in a capacitor without an energy transformation from photonic energy to something else. In short, photonic waves that appear to be standing still are an illusion. Photonic waves cannot stand still. -- 73, Cecil http://www.w5dxp.com |
All times are GMT +1. The time now is 10:21 AM. |
Powered by vBulletin® Copyright ©2000 - 2025, Jelsoft Enterprises Ltd.
RadioBanter.com