Method and system of measuring surface temperature
09689746 ยท 2017-06-27
Assignee
Inventors
Cpc classification
G01J5/0003
PHYSICS
International classification
G01J5/52
PHYSICS
Abstract
Provided is a measuring method capable of accurately measuring the surface temperature of a surface to be measured, uninfluenced by the emissivity distribution of the surface to be measured. A surface to be measured having an emissivity distribution, a radiometer that measures a radiance distribution of the surface to be measured, and an auxiliary heat source installed in a specular reflection position from the radiometer with respect to the surface to be measured are prepared, radiances of two places having different emissivities of the surface to be measured are measured at two different auxiliary-heat-source temperatures, a reflectance ratio of the two places having the different emissivities is calculated on the basis of two measured radiances of the two places having the different emissivities, and temperature of the surface to be measured is obtained using reflectance ratio and measured radiances of the two places having different emissivities.
Claims
1. A method of measuring surface temperature, comprising: preparing a surface to be measured that has an emissivity distribution, a radiometer that measures a radiance distribution of the surface to be measured, and an auxiliary heat source installed in a specular reflection position from the radiometer with respect to the surface to be measured; measuring a first radiance of a first place of the surface to be measured and a second radiance of a second place of the surface to be measured, wherein the second place has an emissivity different from an emissivity of the first place, and the second radiance is measured at an auxiliary-heat-source temperature the same as an auxiliary-heat-source temperature at which the first radiance is measured; measuring a third radiance of the first place of the surface to be measured, and a fourth radiance of the second place of the surface to be measured, and the fourth radiance is measured at an auxiliary-heat-source temperature the same as an auxiliary-heat-source temperature at which the third radiance is measured and is different from an auxiliary-heat-source temperature at which the first radiance is measured; calculating a reflectance ratio between the first place and the second place on the basis of the first radiance, the second radiance, the third radiance and the fourth radiance; after calculating the reflectance ratio, measuring a fifth radiance of the first place of the surface to be measured, and a sixth radiance of the second place of the surface to be measured, wherein the sixth radiance is measured at an auxiliary-heat-source temperature the same as an auxiliary-heat-source temperature at which the fifth radiance is measured; and obtaining a temperature of the surface to be measured, using the reflectance ratio, the fifth radiance and the sixth radiance.
2. A system of measuring surface temperature, comprising: a surface to be measured that has an emissivity distribution; a radiometer that measures a radiance distribution of the surface to be measured; and an auxiliary heat source installed in a specular reflection position from the radiometer with respect to the surface to be measured, wherein a first radiance of a first place of the surface to be measured is measured, and a second radiance of a second place of the surface to be measured is measured, wherein the second place has an emissivity different from an emissivity of the first place, and the second radiance is measured at an auxiliary-heat-source temperature the same as an auxiliary-heat-source temperature at which the first radiance is measured, wherein a third radiance of the first place of the surface to be measured is measured, and a fourth radiance of the second place of the surface to be measured is measured, and the fourth radiance is measured at an auxiliary-heat-source temperature the same as an auxiliary-heat-source temperature at which the third radiance is measured and is different from an auxiliary-heat-source temperature at which the first radiance is measured, a reflectance ratio between the first place and the second place on the basis of the first radiance, the second radiance, the third radiance and the fourth radiance, after the reflectance ratio is calculated, a fifth radiance of the first place of the surface to be measured is measured, and a sixth radiance of the second place of the surface to be measured is measured, wherein the sixth radiance is measured at an auxiliary-heat-source temperature the same as an auxiliary-heat-source temperature at which the fifth radiance is measured, and a temperature of the surface to be measured is obtained using the calculated reflectance ratio, the fifth radiance and the sixth radiance.
3. The system of measuring surface temperature according to claim 2, wherein the radiometer that measures a radiance distribution is a thermal imaging device or a one-dimensional scanning radiometer.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3)
(4)
(5)
(6)
(7)
DESCRIPTION OF EMBODIMENTS
(8) (Principle of the Present Invention)
(9) When radiance distribution is measured by a thermal imaging device with attention on a portion having a large variation in the emissivity distribution on the surface to be measured, the emissivity distribution is detected as the radiance distribution. Assume, at this time, that the temperature of the object is uniform in a certain region, or the temperature distribution is spatially sufficiently smooth in comparison with the emissivity distribution.
(10) First, a first invention will be described.
(11) As shown in
(12) Next, the blackbody radiance is calculated using Expression (9) represented below from measured radiance of the high-emissivity portion and the low-emissivity portion and the ratio between reflectances calculated from the values. Treating the object as a blackbody of which the emissivity is 1, the object temperature is obtained by applying the Planck's law of radiation. Thus, the true temperature of the object can be found without the need for finding the object emissivity distribution.
(13) The measurement principle of the first invention will be described below in detail.
(14) Let the emissivities of the higher-emissivity portion and the lower-emissivity portion to be .sub.Hi and .sub.Lo, and the reflectances thereof to be .sub.Hi and .sub.Lo, respectively, in two places of which the emissivities of the object to be measured that has an emissivity distribution are different from each other. When the object is an opaque body, the relations .sub.Hi+.sub.Hi=1 and .sub.Lo+.sub.Lo=1 hold from the Kirchhoff's law.
(15) When the thermal radiance of the auxiliary heat source is L.sub.Heat-source,1, thermal radiances S.sub.Hi,1 and S.sub.Lo,1 of the high-emissivity portion and the low-emissivity portion are expressed by the following expressions, respectively.
S.sub.Hi,1=.sub.HiL(T)+.sub.HiL.sub.Heat-source,1(1)
S.sub.Lo,1=.sub.LoL(T)+.sub.LoL.sub.Heat-source,1(2)
(16) Herein, T is the temperature of the object to be measured, and L(T) is the thermal radiance of the blackbody of temperature T.
(17) Next, the thermal radiance of the auxiliary heat source is changed to L.sub.Heat-source,2, and thermal radiances S.sub.Hi,2 and S.sub.Lo,2 of the high-emissivity portion and the low-emissivity portion are expressed by the following expressions, respectively.
S.sub.Hi,2=.sub.HiL(T)+.sub.HiL.sub.Heat-source,2(3)
S.sub.Lo,2=.sub.LoL(T)+.sub.LoL.sub.Heat-source,2(4)
(18) The ratio R.sub. between the reflectances of the high-emissivity portion and the low-emissivity portion can be calculated from the four measured quantities S.sub.Hi,1, S.sub.Lo,1, S.sub.Hi,2, and S.sub.Lo,2 and is obtained by the following Expression (5) derived from Expressions (1) to (4).
R.sub.=.sub.Hi/.sub.Lo=(S.sub.Hi,2S.sub.Hi,1)/(S.sub.Lo,2S.sub.Lo,1)(5)
(19) When the relations of .sub.Hi+.sub.Hi=1 and .sub.Lo+.sub.Lo=1 are applied to Expressions (3) and (4) and are transformed, Expressions (6) and (7) are obtained.
S.sub.Hi,2=L(T)+.sub.Hi(L(T)+L.sub.Heat-source,2)(6)
S.sub.Lo,2=L(T)+.sub.Lo(L(T)+L.sub.Heat-source,2)(7)
(20) When L(T) is subtracted from both sides of Expressions (6) and (7) and then the ratio is taken and Expression (5) is applied, Expression (8) is obtained.
(S.sub.Hi,2L(T))/(S.sub.Lo,2L(T))=R.sub.(8)
(21) When Expression (8) is transformed, L(T) can be expressed in the form of Expression (9) using R.sub..
L(T)=(S.sub.Hi,2R.sub.S.sub.Lo,2)/(1R.sub.)(9)
(22) The accurate temperature T is obtained from the measured radiance L(T) by treating the emissivity as 1. That is, it is possible to perform measurement in which unknown emissivity is corrected. Note that Expressions (6) to (9) are established even when S.sub.Hi,2, S.sub.Lo,2, and L.sub.Heat-source,2 are replaced by S.sub.Hi,1, S.sub.Lo,1, and L.sub.Heat-source,1, respectively.
(23) Moreover, Expression (9) is a relational expression that is always established regardless of the auxiliary-heat-source radiance L.sub.Heat-source or the object temperature T. For this reason, the use of the ratio R.sub. obtained in advance and the radiances S.sub.Hi and S.sub.Lo measured at an arbitrary timing enables calculating L(T) at that time on the basis of Expression (9), unless the reflectance ratio R.sub. changes with time.
(24) Accordingly, when measuring a phenomenon in which temperature changes fast, the measurement responding to the object temperature variation is enabled: by obtaining R.sub. from the radiance measurement at two auxiliary-heat-source temperatures in steady state before starting the temperature change of the object; and by correcting the emissivity by Expression (9), using the value of this R.sub. in a state where the auxiliary-heat-source radiance is unchanged after starting the temperature change of the object.
(25) Herein, as a method of achieving a different auxiliary-heat-source temperature, the front surface of the auxiliary heat source may be covered by a shutter or the like having a temperature different from that of the auxiliary heat source and may be opened and closed, instead of changing the auxiliary-heat-source temperature in a step form. In this case, L.sub.Heat-source,2 is a value obtained by combining the thermal radiation radiated by the shutter with the reflected radiance from the surroundings by the shutter.
(26) Next, a second invention will be described.
(27) Similarly to the first invention, as shown in
(28) At this time, since the relation of reflectance+emissivity=1 is established in an opaque surface from the Kirchhoff's law, the reflectance of the low-emissivity portion is higher. When the temperature of the auxiliary heat source is changed in this state, the radiance distribution changes, and the radiances of the high-emissivity portion and the low-emissivity portion increase with a rise in the auxiliary-heat-source temperature. However, in the way of the increase, the low-emissivity portion having high reflectance increases, and the difference between the radiances decreases. When the auxiliary-heat-source temperature is further increased, the difference between the radiances is no longer present, and thus the pattern due to the emissivity distribution of an image detected by the thermal imaging device disappears. When the heat-source temperature is further increased, the distributions of the radiances are inverted. Thus, the radiance of the low-emissivity portion becomes higher than that of the high-emissivity portion, and an emissivity distribution pattern comes in sight again. The object temperature is obtained: by detecting the radiance when the difference between the radiances is not present, that is, the emissivity distribution pattern of the image disappears; and by applying the Planck's law of radiation, treating the object as a blackbody of which the emissivity is 1. Thus, the true temperature of the object can be found without the need for finding the object emissivity distribution.
(29) The measurement principle of the second invention will be described below in detail.
(30) Let the emissivity of the high-emissivity portion of the object to be measured that has an emissivity distribution to be .sub.Hi, and the emissivity of the low-emissivity portion to be .sub.Lo.
(31) The thermal radiances S.sub.Hi and S.sub.Lo of the high-emissivity portion and the low-emissivity portion are expressed by the following expressions, respectively.
S.sub.Hi=.sub.HiL(T)
S.sub.Lo=.sub.LoL(T)
(32) Herein, L(T) is the thermal radiance of a blackbody of temperature T.
(33) Next, an auxiliary heat source of radiance L.sub.Heat-source is installed, and radiation of the auxiliary heat source is superimposed on the object radiation. The radiances detected by the thermal imaging device are given as follows.
S.sub.Hi=.sub.HiL(T)+.sub.HiL.sub.Heat-source
S.sub.Lo=.sub.LoL(T)+.sub.LoL.sub.Heat-source
(34) Herein, the reflectance of the high-emissivity portion is set to .sub.Hi, and the reflectance of the low-emissivity portion is set to .sub.Lo.
(35) Herein, the auxiliary-heat-source radiance L.sub.Heat-source is regulated so that the high-emissivity portion and the low-emissivity portion are equal to each other.
(36) That is, from S.sub.Hi=S.sub.Lo
.sub.HiL(T)+.sub.HiL.sub.Heat-source=.sub.LoL(T)+.sub.LoL.sub.Heat-source
When L(T) is added to both sides of the above expression, and then the expression is transformed using the relations of .sub.Hi+.sub.Hi=1 and .sub.Lo+.sub.Lo=1 obtained from the Kirchhoff's law, the following expression is obtained.
.sub.Hi(L(T)+L.sub.Heat-source)=.sub.Lo(L(T)+L.sub.Heat-source)
(37) Due to the relation of .sub.Hi.sub.Lo, the equal sign is established when L(T)=L.sub.Heat-source.
(38) At this time, since the following expression is established
S.sub.Hi=S.sub.Lo=.sub.HiL(T)+.sub.HiL(T)=.sub.LoL(T)+.sub.Lo(T)=L(T)
the measured radiance S.sub.Hi=S.sub.Lo is equal to the radiance from a blackbody of the same temperature T as that of the object, and the accurate temperature T is obtained from the measured radiance S.sub.Hi=S.sub.Lo by treating the emissivity as 1.
(39) The emissivity distribution of the object focused on the first and second inventions may be, for example, a metal interconnect pattern on a circuit substrate or a device, a pattern caused by a fine structure distribution of the device. In addition, when the usable emissivity distribution is not present, a coating material, a metal film or the like may be coated or pasted on the object surface.
(40) First Embodiment
(41) An embodiment of the first invention will be described below. The thermal imaging device captures a two-dimensional thermal image with a focus on a surface to be measured. Here, an object to be measured is a print circuit board, a semiconductor device or the like. A surface blackbody device of which the surface is blackened is used as the auxiliary heat source. First of all, thermal images are taken when changing the temperature of the auxiliary heat source in a step form while the object temperature is maintained approximately constant, or opening and closing the shutter that covers the front surface of the auxiliary heat source. Next, in the thermal images obtained, one place is selected from each of the high-emissivity portion and the low-emissivity portion which are so close as to be regarded to be isothermal. The radiances of the high-emissivity portion and the low-emissivity portion of the 2-level thermal image are obtained, the reflectance ratio R.sub. is obtained on the basis of Expression (5), and the radiance L(T) is further obtained using Expression (9). The object temperature is obtained from the radiance measured at this time treating the emissivity as 1.
(42) Examples of the thermal images obtained when the temperature of the auxiliary heat source is changed in a step form are shown in
(43)
(44)
(45) In this example, the measured radiance temperature of the high-emissivity portion a in
(46) It can be seen from
(47) In this manner, generally, the size-of-source effect changes the apparent radiance temperature, and thus obstructs an accurate temperature measurement. In response to such a problem, the following describes that the present invention can eliminate the influence.
(48) The increase and decrease in the radiance due to the size-of-source effect are proportional to the radiance difference between the high-emissivity portion and the low-emissivity portion. As the proportional ratio, the radiance is observed to decrease by r.sub.Hi in the high-emissivity portion a which is a measurement place of the fine line portion, and the radiance is observed to increase by r.sub.Lo in the low-emissivity portion b.
(49) Herein, r.sub.Hi and r.sub.Lo are coefficients that represent the size-of-source effect. The following expressions are obtained by rewriting Expressions (1) to (4) in consideration of the size-of-source effect.
S.sub.Hi,1=(1r.sub.Hi)(.sub.HiL(T)+.sub.HiL.sub.Heat-source,1)+r.sub.Hi(.sub.LoL(T)+.sub.LoL.sub.Heat-source,1)
S.sub.Lo,1=(1r.sub.Lo)(.sub.LoL(T)+.sub.LoL.sub.Heat-source,1)+r.sub.Lo(.sub.HiL(T)+.sub.HiL.sub.Heat-source,1)
S.sub.Hi,2=(1r.sub.Hi)(.sub.HiL(T)+.sub.HiL.sub.Heat-source,2)+r.sub.Hi(.sub.LoL(T)+.sub.LoL.sub.Heat-source,2)
S.sub.Lo,2=(1r.sub.Lo)(.sub.LoL(T)+.sub.LoL.sub.Heat-source,2)+r.sub.Lo(.sub.HiL(T)+.sub.HiL.sub.Heat-source,2)
(50) When R.sub. is calculated similarly to Expression (5), the following expression is obtained.
R.sub.=(S.sub.Hi,2S.sub.Hi,1)/(S.sub.Lo,2S.sub.Lo,1)=((1r.sub.Hi).sub.Hi+r.sub.Hi.sub.Lo)/((1r.sub.Lo).sub.Lo+r.sub.Lo.sub.Hi)
(51) On the other hand, when transformation is performed similarly to Expressions (6) and (7), S.sub.Hi,2 and S.sub.Lo,2 are as follows.
S.sub.Hi,2=(1r.sub.Hi)(L(T).sub.Hi(L(T)L.sub.Heat-source,2))+r.sub.Hi(L(T).sub.Lo(L(T)L.sub.Heat- source,2))=L(T).sub.Hi((1r.sub.Hi)+.sub.Lo r.sub.Hi)(L(T)L.sub.Heat-source,2))
S.sub.Lo,2=L(T).sub.Lo((1r.sub.Lo)+.sub.Hi r.sub.Lo)(L(T)L.sub.Heat-source,2))
(52) When transformation is performed similarly to the derivation of Expression (8), the relation of (S.sub.Hi,2L(T))/(S.sub.Lo,2L(T))=R.sub. is obtained.
(53) This is the same as Expression (8). Accordingly, the true temperature T can be obtained by obtaining the blackbody radiation L(T) using (9) expression. This shows that, even when the apparent radiance temperature changes due to the size-of-source effect, the accurate temperature can be measured without being influenced by the effect.
(54) Second Embodiment
(55) An embodiment of the second invention will be described below. The thermal imaging device captures a two-dimensional thermal image with a focus on a surface to be measured. Here, an object to be measured is a print circuit board, a semiconductor device or the like. A surface blackbody device of which the surface is blackened is used as the auxiliary heat source. In this state, while the object temperature is maintained approximately constant and the temperature of the auxiliary heat source is changed, the thermal image is measured to find out conditions in which a pattern of the thermal image caused by the emissivity distribution of the object to be measured disappears.
(56) The object temperature is obtained from the radiance measured at this time treating the emissivity as 1. When the emissivity of the auxiliary heat source is sufficiently close to 1, the object temperature may be obtained by measuring the auxiliary-heat-source temperature using a contact-type thermometer or the like.
(57) Examples of the thermal images obtained when the temperature of the auxiliary heat source is raised are shown in
(58) In
(59)
(60)
(61)
(62) On the other hand, a radiance distribution pattern (see 11 in
(63) In the first and second embodiments, the surface blackbody device is used as the auxiliary heat source, but the auxiliary heat source is not limited thereto. For example, any auxiliary heat sources may be used, provided that the surface of the light source is sufficiently large with respect to the object to be measured, and the radiance is uniform and variable (e.g., an integrating sphere including a lamp light source or a laser light source, a liquid temperature bath surface, a planar heater, or the like).
(64) In addition, in cases where the thermal imaging device measures a high-temperature object, the thermal imaging device may also be a camera such as a CCD that measures visible light and near infrared light. In addition, measurement by a linear sensor may be used instead of using a two-dimensional image.
REFERENCE NUMERALS
(65) 1: OBJECT TO BE MEASURED
(66) 2: AUXILIARY HEAT SOURCE
(67) 3: THERMAL IMAGING DEVICE