1573:
1284:
1216:
150:
is the property of a substance to permit the passage of light, with some or none of the incident light being absorbed in the process. If some light is absorbed by the substance, then the transmitted light will be a combination of the wavelengths of the light that was transmitted and not absorbed. For
1568:{\displaystyle T={\frac {\displaystyle \exp \left(-2\int _{x_{1}}^{x_{2}}dx{\sqrt {{\frac {2m}{\hbar ^{2}}}\left(V(x)-E\right)}}\,\right)}{\displaystyle \left(1+{\frac {1}{4}}\exp \left(-2\int _{x_{1}}^{x_{2}}dx{\sqrt {{\frac {2m}{\hbar ^{2}}}\left(V(x)-E\right)}}\,\right)\right)^{2}}}\ ,}
1802:
469:
733:
are used to describe the behavior of waves incident on a barrier. The transmission coefficient represents the probability flux of the transmitted wave relative to that of the incident wave. This coefficient is often used to describe the probability of a particle
875:
1020:
705:, will meet specified performance criteria is also sometimes called the "transmission coefficient" of that portion of the system. The value of the transmission coefficient is inversely related to the quality of the line, circuit, channel or trunk.
589:
683:
151:
example, a blue light filter appears blue because it absorbs red and green wavelengths. If white light is shone through the filter, the light transmitted also appears blue because of the absorption of the red and green wavelengths.
170:
of the wave. Either is calculated by taking the ratio of the value after the surface or element to the value before. The transmission coefficient for total power is generally the same as the coefficient for intensity.
1658:
282:
will be reflected back to the source. Because the voltage on a transmission line is always the sum of the forward and reflected waves at that point, if the incident wave amplitude is 1, and the reflected wave is
364:
756:
1003:
38:
924:
1211:{\displaystyle R={\frac {{\vec {J}}_{\mathrm {refl} }\cdot \left(-{\hat {n}}\right)}{{\vec {J}}_{\mathrm {inc} }\cdot {\hat {n}}}}={\frac {|J_{\mathrm {refl} }|}{|J_{\mathrm {inc} }|}}}
1643:
507:
260:
231:
1851:
1617:
358:
is uniquely determined from first principles by noting that the incident power on the discontinuity must equal the sum of the power in the reflected and transmitted waves:
1619:
are the two classical turning points for the potential barrier. In the classical limit of all other physical parameters much larger than Planck's constant, abbreviated as
333:
953:
493:
356:
301:
280:
1253:
605:
41:
An electromagnetic (or any other) wave experiences partial transmittance and partial reflectance when the medium through which it travels suddenly changes.
17:
1255:, which in one dimension reduces to the fact that the sum of the transmitted and reflected currents is equal in magnitude to the incident current.
65:
is considered. A transmission coefficient describes the amplitude, intensity, or total power of a transmitted wave relative to an incident wave.
1797:{\displaystyle T\approx 16{\frac {E}{U_{0}}}\left(1-{\frac {E}{U_{0}}}\right)\exp \left(-2L{\sqrt {{\frac {2m}{\hbar ^{2}}}(U_{0}-E)}}\right)}
1867:
184:
31:
1890:
464:{\displaystyle {1 \over Z_{\mathrm {A} }}={{\Gamma ^{2} \over Z_{\mathrm {A} }}+{(1+\Gamma )^{2} \over Z_{\mathrm {B} }}}}
73:
Different fields of application have different definitions for the term. All the meanings are very similar in concept: In
1975:
104:
Although conceptually the same, the details in each field differ, and in some cases the terms are not an exact analogy.
870:{\displaystyle T={\frac {{\vec {J}}_{\mathrm {trans} }\cdot {\hat {n}}}{{\vec {J}}_{\mathrm {inc} }\cdot {\hat {n}}}},}
1938:
197:
is the ratio of the amplitude of the complex transmitted wave to that of the incident wave at a discontinuity in the
958:
120:, there appears a certain "transmission coefficient" for overcoming a potential barrier. It is (often) taken to be
885:
1260:
162:) passes through a surface or an optical element. Transmission coefficients can be calculated for either the
1645:, the transmission coefficient goes to zero. This classical limit would have failed in the situation of a
1965:
1622:
584:{\displaystyle {\Gamma ={{Z_{\mathrm {B} }-Z_{\mathrm {A} }} \over {Z_{\mathrm {B} }+Z_{\mathrm {A} }}}}}
89:
it is the amplitude of a wave transmitted through a medium or conductor to that of the incident wave; in
62:
1893:. Institute for Telecommunication Sciences, National Telecommunications and Information Administration.
1652:
If the transmission coefficient is much less than 1, it can be approximated with the following formula:
1960:
236:
207:
694:
1970:
1810:
1581:
698:
306:
117:
929:
1914:
1862:
729:
497:
180:
54:
690:
678:{\displaystyle {{1+\Gamma }={{2Z_{\mathrm {B} }} \over {Z_{\mathrm {B} }+Z_{\mathrm {A} }}}}}
478:
341:
286:
265:
30:
This article is about the concept in physics and chemistry. For the concept in biology, see
1226:
155:
8:
926:
is the probability current in the wave incident upon the barrier with normal unit vector
742:
167:
93:
it is used to describe the behavior of waves incident on a barrier, in a way similar to
1005:
is the probability current in the wave moving away from the barrier on the other side.
735:
714:
98:
86:
204:
Consider a wave travelling through a transmission line with a step in impedance from
1934:
1278:
Using the WKB approximation, one can obtain a tunnelling coefficient that looks like
1273:
720:
198:
190:
90:
1646:
58:
1898:
741:
The transmission coefficient is defined in terms of the incident and transmitted
125:
262:. When the wave transitions through the impedance step, a portion of the wave
1954:
137:
303:, then the amplitude of the forward wave must be sum of the two waves or
37:
121:
163:
113:
74:
702:
81:
refers to a chemical reaction overcoming a potential barrier; in
50:
143:
94:
82:
159:
1897:. United States Department of Commerce. 1996. Archived from
154:
The transmission coefficient is a measure of how much of an
1813:
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1952:
124:for monomolecular reactions. It appears in the
998:{\displaystyle {\vec {J}}_{\mathrm {trans} }}
1931:Introduction to Quantum Mechanics (2nd ed.)
1924:
1922:
919:{\displaystyle {\vec {J}}_{\mathrm {inc} }}
1868:Reflections of signals on conducting lines
185:Reflections of signals on conducting lines
1598:
1539:
1403:
1919:
1853:is the length of the barrier potential.
36:
1885:
1883:
1223:Law of total probability requires that
32:Transmission coefficient (epidemiology)
14:
1953:
174:
1880:
1267:
708:
689:The probability that a portion of a
1638:{\displaystyle \hbar \rightarrow 0}
24:
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217:
27:A concept in physics and chemistry
25:
1987:
18:Transmission coefficient (optics)
255:{\displaystyle Z_{\mathrm {B} }}
226:{\displaystyle Z_{\mathrm {A} }}
1911:See also the wikipedia article
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13:
1:
1873:
1846:{\displaystyle L=x_{2}-x_{1}}
1612:{\displaystyle x_{1},\,x_{2}}
1261:rectangular potential barrier
1258:For sample calculations, see
1929:Griffiths, David J. (2004).
107:
7:
1856:
1008:The reflection coefficient
743:probability current density
328:{\displaystyle (1+\Gamma )}
68:
10:
1992:
1976:Fiber-optic communications
1271:
948:{\displaystyle {\hat {n}}}
712:
475:Solving the quadratic for
178:
135:
29:
131:
1891:"Federal Standard 1037C"
1012:is defined analogously:
725:transmission coefficient
597:transmission coefficient
195:transmission coefficient
79:transmission coefficient
47:transmission coefficient
488:{\displaystyle \Gamma }
351:{\displaystyle \Gamma }
296:{\displaystyle \Gamma }
275:{\displaystyle \Gamma }
118:transition state theory
61:in a medium containing
1915:Federal Standard 1037C
1863:Reflection coefficient
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730:reflection coefficient
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498:reflection coefficient
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181:Reflection coefficient
55:electrical engineering
42:
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1248:{\displaystyle T+R=1}
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691:communications system
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719:In non-relativistic
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156:electromagnetic wave
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1342:
738:through a barrier.
116:, in particular in
1966:Geometrical optics
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995:
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715:Quantum tunnelling
693:, such as a line,
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495:leads both to the
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175:Telecommunications
99:telecommunications
87:telecommunications
43:
1961:Quantum mechanics
1933:. Prentice Hall.
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1371:
1274:WKB approximation
1268:WKB approximation
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721:quantum mechanics
709:Quantum mechanics
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199:transmission line
191:telecommunication
91:quantum mechanics
16:(Redirected from
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1647:square potential
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59:wave propagation
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1971:Physical optics
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126:Eyring equation
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63:discontinuities
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28:
23:
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15:
12:
11:
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1293:
1290:
1272:Main article:
1269:
1266:
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1219:
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1203:
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347:
338:The value for
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136:Main article:
133:
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67:
26:
9:
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3:
2:
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