Electromagnetic waves in an electron plasma in an alternating external magnetic field

Abstract

The generalization of the theory of plane waves in a semiconductor electron plasma located in an external magnetic field, H = Ifo -H, cos pt, whose variable component is parallel t o the stationary one, is given for the case of relatively low electron density in the conductivity band and for a sample inhomogeneous in the direction of the magnetic field, the waves propagating along this direction. Also the problem of the transformation of a monochromatic incident wave with a frequency o to components with new frequencies w + mp ( n = fl, 5 2 , ...) for the wave reflected from the sample boundary and transmitted into the sample is considered. Several effects which are due to the simultaneous influence of the periodic non-stationarity and a periodic inhomogeneity of the medium are noted. np0Be;eHO 0 6 0 6 q e~a e TeOpHH IIJlOCKHX BOJIH B 3JIeKTpOHHOm IIJla3Me IIOJlJTIpOBOnHli-Ha, HaXoHfilQe~CH BO BHeUlHeM MarHHTHOM IIOJIe H = Ho -HI COS pt C IIepeMeHHOm CTpaHeBMfl BOJlH BnOJIb MarHClTHOrO IIOJlFI, Ha CJIyYafi OTHOCRTeJlbHO HM3KOfi IIJIOTHOCTA 3JleKTPOHOB B 30He IIpOBOnMMOCTM 1% CJIylIafi npOnOJlbH0 HeOnHOpOnHOfi CpenbI. PaCCMO-CocTaBnmouefi, napannenbaot4 IIOCTORHHOG CocTaBnmoqetl, npa HanpasneHmi pacnpo-TpeHa TaHwe a a~a r~a o npe06pa30BaHMM nanamqefi MoHoxpoMaTmecKot4 Bomb1 c samo-H nporuenueh sepea rpamuy o6paaqa BOJIB.' n p e n c~a 3 a~ PHA ~@ @~K T o B , O~~C J I O B J I~H -TOB 0 B HOMnOHeHTbI C HOBbIMH YaCTOTaMI? W + nl, (n fl, 1 2 , ...) DJlfi OTpaXeHHO~ HLIX OAHOBPeMeHHbIM BJIMHHHeM nepHOnI4YeCKOm HeCTa~MOHapHOCTH A IIepHO~ktseCKOB HeOnHOponHOCTM CpenbI. tions of the magnetoresistance of a sample have been observed experimentally by Kats and Shekhter [3], Really the weak electric field e2 can be considered as homogeneous under the condition &, > L where Am is the wavelength in a medium a t the frequency o and L is 9 * 132 V. N. Luoovor