Theevolutionoftheelectronphaseorbitsbasedonthemulti-photonnonlinearComptonscatteringwiththehighpowerlaser-plasmaisdiscussedbyusingKroll-Morton-Rosenbluththeory.Therandomevolutionoftheun-capturedelectronphaseorbitsfromperiodicitytonon-periodicityisfoundaftertheenergyhasbeenexchangedbetweentheelectronandphotons.Withtheincreaseoftheabsorbedphotonnumbernbyanelectron,thisevolutionwillbemoreandmoreintense,whilewhichisrapidlydecreasedwiththeenhancementofthecollisionnon-flexibilityξandtheirinitialspeedsoftheelectronsandphotons,butthisevolutionislowerthanthatinthehighpowerlaserfield.Whentheelectronsarecapturedbythelaserfield,theevolutionisfinished,andtheelectronswillstablytransport,andthephotonsdon'tprovidetheenergyfortheseelectronsanymore.
