MRT
6th July 2009, 04:59 PM
Doppler phenomenon for electromagnetic waves and new equations for relativity quantum
What is Doppler?Because of Doppler phenomenon importance in cosmology, it is necessary to have a short revision. Doppler phenomenon is considered in classic physic for changes in frequency of sound source. According to this effect, whenever a viewer is on move compared to a sound source, he will receive another frequency which dispatched by source. For example, if an ambulance with certain speed is on move toward us, its alert sound makes change in sending waves because of sound source movement, and more closing us more acute alert (more frequency and shorter wavelength) is heard and when it passes beside us and far away, the alert becomes basser (shorter frequency and longer wavelength).
http://ki2100.com/images/physics/einstein/1.jpg
This phenomenon is called Doppler Effect which is same in1 light too. It means whenever light resource is on move toward viewer, the frequency of receiving light will change, if viewer and source may being far away, the frequency of receiving light will go toward red and if may being near, the frequency of receiving light will go toward blue. After presenting relativity, Doppler Effect for electromagnetic waves have discussed. In Doppler Effect, because wave dispatching source shines electromagnetic waves and behavior of these category of waves described by relativity theory, therefore it differs with classic Doppler. Because according to special relativity –basedonunifyingphysicalrulesinallinertiareferen ceframes - the existence of any supreme reference frame in universe will disavow. Because of this, source moving towards viewer or viewer moving toward source has no difference. In this phenomenon, if source moving towards viewer or viewer moving toward source, there will be a displacing toward blue spectrum. It means below equation:
http://ki2100.com/images/physics/einstein/2.gif
Which λ0 is receiving wave length, and λe is wavelength that sends by light source. It is clear that in this situation receiving wavelength is smaller than sending wavelength. If source from viewer or viewer from source is far away, with increasing in receiving light wavelength, there will be a displacing in absorbing or emission as below equation:
http://ki2100.com/images/physics/einstein/3.gif
Now this subject will survey under classic mechanic, relativity and quantum mechanics:
http://ki2100.com/images/physics/doppler_light_effect/1.gif
In below picture, the source of green spectrum (central sphere) is spotted consonant. For its wavelength and frequency have:
http://ki2100.com/images/physics/doppler_light_effect/3.gif
C is light speed, λ is wavelength, and f is frequency of electromagnetic wave. Now if source of green spectrum displace with v speed, have:
http://ki2100.com/images/physics/doppler_light_effect/2.gif
http://ki2100.com/images/physics/doppler_light_effect/4.gif
λ' is received wavelength, v is source speed, λ is source wavelength, f is source frequency and f ' is receiving frequency. In latest equation, v is speed of wave –forexamplesound– andVsiswaveorsound source speed. The above equations are referred to classic equations for Doppler Effect. For example a police car is dispatching alert with 4000 Hz and closing to a static passer with 72km/hour speed and pass him, what is the amount of sound frequency? The speed of sound in air is 340m/s:
http://ki2100.com/images/physics/doppler_light_effect/5.gif
But as we knew, by increasing speed of light source, the time will be slow and meter will be short, so viewer and light source won't understand difference in frequency and wavelength and also will reach to previous result in light speed measurement. But in view of other viewer not with light source, the more increase in speed and slower in time and shorter in meter, the more decrease in frequency of spectrum. It means moving toward yellow spectrum from green spectrum that no viewer could see it, else it will be beside source of light and makes changes in measurement units of meter and time. This spectrum is understood just by observation based on Gerald –Lawrenceequationorrelativity. Sotheclassicequationwillchange to below equation that f ' is frequency of on move source spectrum with V speed.
http://ki2100.com/images/physics/doppler_light_effect/6.gif
As we knew the units of frequency is cycle per second and by time, surely the frequency of source spectrum for viewers will be decreased. It means:
http://ki2100.com/images/physics/doppler_light_effect/7.gif
t is time, t' is slowed time, and f " is frequency of on move source. Its ease and advantage compared old formula is that we just change a sign in numerator of the equation which simplify its learning and application.
http://ki2100.com/images/physics/doppler_light_effect/11.gif
The below curve shows shortening in wavelength by increasing speed of closing source to viewer (blue tendency) and upper curve shows lengthen in wavelength by increasing speed of far away source from viewer(red tendency).
Now compare result from new formulas and old formulas:
http://ki2100.com/images/physics/doppler_light_effect/8.gif
http://ki2100.com/images/physics/doppler_light_effect/13.gif
As it is clear, the results are same and now after confidence of equation accuracy, try to merge these equations with equations in quantum mechanics and catch new formulas:
http://ki2100.com/images/physics/mc2_2/4.gif
The above equation shows the frequency of received electromagnetic waves from a source which is closing or far away to viewer. That f is source frequency and f ' is received frequency to viewer.
http://ki2100.com/images/physics/doppler_light_effect/12.gif
The upper curve shows frequency increase, by increasing speed of source closing to viewer (blue tendency) and the below curve shows frequency decrease, by increasing speed of source far away viewer (red tendency).
http://ki2100.com/images/physics/doppler_light_effect/9.gif
E is photon energy and h is Plank consonant. The above equation and limit shows energy of electromagnetic wave of the on move source. As it is clear by closing to light speed, the energy of radiant wave is decreased by source that this will cause balance in source and prevent explosion and mass convert to energy. In fact by closing to light speed, the temperature will close to absolute zero which will discussed in next discussions.
http://ki2100.com/images/physics/doppler_light_effect/10.gif
And this is the general and final equation to achieve energy of electromagnetic waves received from on move source. The conclusion is that energy in some ranges of space –timeisquantizedthatreferredtosecondandpaceddist ancebylightinasecondwhichexpressthisfactthatcommon time division as second, minute, hour and …wasnotdonebyhuman, butdonebysuperintelligentlifewhouseprofessionalgeo metryandmathematicsasdozencalculationandtheytransf erredusthesetimeandcalendarandfirstwatch, meanstimeshowingwasmade by them. Because the unit of frequency in Plank formula is cycle per second, and this means electromagnetic energy is quantized and packaged in time and unit of it is second and also length with meter unit. We can consider this package as mechanical bit like photon or a string of ct length and t=1 which will be discussed after
http://ki2100.com/english/images/MS-Word.gif (http://ki2100.com/english/MS-word/physics/Doppler%20phenomenon%20for%20electromagnetic%20wav es%20and%20new%20equations%20for%20relativity%20qu antum.doc)
http://ki2100.com/english/images/Adobe-Reader.gif (http://ki2100.com/english/PDF/physics/Doppler%20phenomenon%20for%20electromagnetic%20wav es%20and%20new%20equations%20for%20relativity%20qu antum.pdf)
Author : Mohammadreza Tabatabaei
http://ki2100.com/english/physics/relativity_quantum/doppler_light_effect.htm
.
What is Doppler?Because of Doppler phenomenon importance in cosmology, it is necessary to have a short revision. Doppler phenomenon is considered in classic physic for changes in frequency of sound source. According to this effect, whenever a viewer is on move compared to a sound source, he will receive another frequency which dispatched by source. For example, if an ambulance with certain speed is on move toward us, its alert sound makes change in sending waves because of sound source movement, and more closing us more acute alert (more frequency and shorter wavelength) is heard and when it passes beside us and far away, the alert becomes basser (shorter frequency and longer wavelength).
http://ki2100.com/images/physics/einstein/1.jpg
This phenomenon is called Doppler Effect which is same in1 light too. It means whenever light resource is on move toward viewer, the frequency of receiving light will change, if viewer and source may being far away, the frequency of receiving light will go toward red and if may being near, the frequency of receiving light will go toward blue. After presenting relativity, Doppler Effect for electromagnetic waves have discussed. In Doppler Effect, because wave dispatching source shines electromagnetic waves and behavior of these category of waves described by relativity theory, therefore it differs with classic Doppler. Because according to special relativity –basedonunifyingphysicalrulesinallinertiareferen ceframes - the existence of any supreme reference frame in universe will disavow. Because of this, source moving towards viewer or viewer moving toward source has no difference. In this phenomenon, if source moving towards viewer or viewer moving toward source, there will be a displacing toward blue spectrum. It means below equation:
http://ki2100.com/images/physics/einstein/2.gif
Which λ0 is receiving wave length, and λe is wavelength that sends by light source. It is clear that in this situation receiving wavelength is smaller than sending wavelength. If source from viewer or viewer from source is far away, with increasing in receiving light wavelength, there will be a displacing in absorbing or emission as below equation:
http://ki2100.com/images/physics/einstein/3.gif
Now this subject will survey under classic mechanic, relativity and quantum mechanics:
http://ki2100.com/images/physics/doppler_light_effect/1.gif
In below picture, the source of green spectrum (central sphere) is spotted consonant. For its wavelength and frequency have:
http://ki2100.com/images/physics/doppler_light_effect/3.gif
C is light speed, λ is wavelength, and f is frequency of electromagnetic wave. Now if source of green spectrum displace with v speed, have:
http://ki2100.com/images/physics/doppler_light_effect/2.gif
http://ki2100.com/images/physics/doppler_light_effect/4.gif
λ' is received wavelength, v is source speed, λ is source wavelength, f is source frequency and f ' is receiving frequency. In latest equation, v is speed of wave –forexamplesound– andVsiswaveorsound source speed. The above equations are referred to classic equations for Doppler Effect. For example a police car is dispatching alert with 4000 Hz and closing to a static passer with 72km/hour speed and pass him, what is the amount of sound frequency? The speed of sound in air is 340m/s:
http://ki2100.com/images/physics/doppler_light_effect/5.gif
But as we knew, by increasing speed of light source, the time will be slow and meter will be short, so viewer and light source won't understand difference in frequency and wavelength and also will reach to previous result in light speed measurement. But in view of other viewer not with light source, the more increase in speed and slower in time and shorter in meter, the more decrease in frequency of spectrum. It means moving toward yellow spectrum from green spectrum that no viewer could see it, else it will be beside source of light and makes changes in measurement units of meter and time. This spectrum is understood just by observation based on Gerald –Lawrenceequationorrelativity. Sotheclassicequationwillchange to below equation that f ' is frequency of on move source spectrum with V speed.
http://ki2100.com/images/physics/doppler_light_effect/6.gif
As we knew the units of frequency is cycle per second and by time, surely the frequency of source spectrum for viewers will be decreased. It means:
http://ki2100.com/images/physics/doppler_light_effect/7.gif
t is time, t' is slowed time, and f " is frequency of on move source. Its ease and advantage compared old formula is that we just change a sign in numerator of the equation which simplify its learning and application.
http://ki2100.com/images/physics/doppler_light_effect/11.gif
The below curve shows shortening in wavelength by increasing speed of closing source to viewer (blue tendency) and upper curve shows lengthen in wavelength by increasing speed of far away source from viewer(red tendency).
Now compare result from new formulas and old formulas:
http://ki2100.com/images/physics/doppler_light_effect/8.gif
http://ki2100.com/images/physics/doppler_light_effect/13.gif
As it is clear, the results are same and now after confidence of equation accuracy, try to merge these equations with equations in quantum mechanics and catch new formulas:
http://ki2100.com/images/physics/mc2_2/4.gif
The above equation shows the frequency of received electromagnetic waves from a source which is closing or far away to viewer. That f is source frequency and f ' is received frequency to viewer.
http://ki2100.com/images/physics/doppler_light_effect/12.gif
The upper curve shows frequency increase, by increasing speed of source closing to viewer (blue tendency) and the below curve shows frequency decrease, by increasing speed of source far away viewer (red tendency).
http://ki2100.com/images/physics/doppler_light_effect/9.gif
E is photon energy and h is Plank consonant. The above equation and limit shows energy of electromagnetic wave of the on move source. As it is clear by closing to light speed, the energy of radiant wave is decreased by source that this will cause balance in source and prevent explosion and mass convert to energy. In fact by closing to light speed, the temperature will close to absolute zero which will discussed in next discussions.
http://ki2100.com/images/physics/doppler_light_effect/10.gif
And this is the general and final equation to achieve energy of electromagnetic waves received from on move source. The conclusion is that energy in some ranges of space –timeisquantizedthatreferredtosecondandpaceddist ancebylightinasecondwhichexpressthisfactthatcommon time division as second, minute, hour and …wasnotdonebyhuman, butdonebysuperintelligentlifewhouseprofessionalgeo metryandmathematicsasdozencalculationandtheytransf erredusthesetimeandcalendarandfirstwatch, meanstimeshowingwasmade by them. Because the unit of frequency in Plank formula is cycle per second, and this means electromagnetic energy is quantized and packaged in time and unit of it is second and also length with meter unit. We can consider this package as mechanical bit like photon or a string of ct length and t=1 which will be discussed after
http://ki2100.com/english/images/MS-Word.gif (http://ki2100.com/english/MS-word/physics/Doppler%20phenomenon%20for%20electromagnetic%20wav es%20and%20new%20equations%20for%20relativity%20qu antum.doc)
http://ki2100.com/english/images/Adobe-Reader.gif (http://ki2100.com/english/PDF/physics/Doppler%20phenomenon%20for%20electromagnetic%20wav es%20and%20new%20equations%20for%20relativity%20qu antum.pdf)
Author : Mohammadreza Tabatabaei
http://ki2100.com/english/physics/relativity_quantum/doppler_light_effect.htm
.