SCATTERING BY LOCALLY PERIODIC ONE-DIMENSIONAL POTENTIALS

被引:21
作者
ROZMAN, MG [1 ]
REINEKER, P [1 ]
TEHVER, R [1 ]
机构
[1] TARTU UNIV,INST THEORET PHYS,EE2400 TARTU,ESTONIA
关键词
D O I
10.1016/0375-9601(94)90877-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
One-dimensional scattering by an arbitrary finite periodic potential is considered. Closed expressions for reflection and transmission (tunneling) amplitudes and probabilities are obtained. Equations determining the positions of transmission resonances are derived. The appearance of a band structure of the energy eigenspectrum as the number of barriers increases is investigated. The application of the results for the description of the reflection of X-rays incident under an angle slightly above the critical angle for total external reflection on the superlattice structures is discussed.
引用
收藏
页码:127 / 131
页数:5
相关论文
共 14 条
[1]   MULTIPLE REFLECTION IN POTENTIAL-BARRIER SCATTERING [J].
BEAM, JE .
AMERICAN JOURNAL OF PHYSICS, 1970, 38 (12) :1395-&
[2]  
Capasso F., 1990, PHYS QUANTUM ELECT D, P181, DOI [10.1007/978-3-642-74751-9_7, DOI 10.1007/978-3-642-74751-9_7]
[3]   SCATTERING FROM A LOCALLY PERIODIC POTENTIAL [J].
GRIFFITHS, DJ ;
TAUSSIG, NF .
AMERICAN JOURNAL OF PHYSICS, 1992, 60 (10) :883-888
[4]  
Ignatovich V. K., 1986, Soviet Physics - Uspekhi, V29, P880, DOI 10.1070/PU1986v029n09ABEH003502
[5]  
Kalotas T. M., 1991, European Journal of Physics, V12, P275, DOI 10.1088/0143-0807/12/6/006
[6]  
KARPOV SY, 1993, SOV PHYS NAUK, V36, P1
[7]   MULTIPLE-SCATTERING BY A DIRAC COMB [J].
KIANG, D .
AMERICAN JOURNAL OF PHYSICS, 1974, 42 (09) :785-787
[8]   TUNNELING IN ONE-DIMENSIONAL IDEAL BARRIERS [J].
KOWALSKI, JM ;
FRY, JL .
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (10) :2407-2415
[9]   ONE-DIMENSIONAL SCATTERING BY A LOCALLY PERIODIC POTENTIAL [J].
LEE, HW ;
ZYSNARSKI, A ;
KERR, P .
AMERICAN JOURNAL OF PHYSICS, 1989, 57 (08) :729-734
[10]   ONE-DIMENSIONAL MULTIPLE-SCATTERING IN QUANTUM-MECHANICS [J].
LESSIE, D ;
SPADARO, J .
AMERICAN JOURNAL OF PHYSICS, 1986, 54 (10) :909-913