Ultrasound unit and ultrasound endoscope

10034654 ยท 2018-07-31

Assignee

Inventors

Cpc classification

International classification

Abstract

An ultrasound unit includes a plurality of elements each including N cells, in each of which a bottom electrode and a top electrode that constitutes a membrane are arranged facing each other with a cavity therebetween, wherein the element has N.sub.1 first cells and N.sub.2 (where N.sub.1N.sub.2, N.sub.1+N.sub.2=N) second cells having higher reception sensitivity and lower transmission sensitivity than the first cells.

Claims

1. An ultrasound unit comprising: a plurality of ultrasound transducer elements, wherein each of the plurality of ultrasound transducer elements comprises: N ultrasound transducer cells comprising: N.sub.1 first ultrasound transducer cells, wherein each of the N.sub.1 first ultrasound transducer cells comprises: a first bottom electrode; and a first membrane comprising a first top electrode, wherein the first bottom electrode and the first top electrode are arranged to face each other with a first cavity therebetween; and N.sub.2 (where N.sub.1N.sub.2, N.sub.1+N.sub.2=N) second ultrasound transducer cells, wherein each of the N.sub.2 second ultrasound transducer cells comprises: a second bottom electrode; and a second membrane comprising a second top electrode, wherein the second bottom electrode and the second top electrode are arranged to face each other with a second cavity therebetween, wherein the each of the N.sub.1 first ultrasound transducer cells and the each of the N.sub.2 second ultrasound transducer cells are configured such that the each of the N.sub.2 second ultrasound transducer cells have higher reception sensitivity and lower transmission sensitivity than the each of the N.sub.1 first ultrasound transducer cells, wherein the first top electrode is electrically connected with the second top electrode, and the first bottom electrode is electrically connected with the second bottom electrode such that the N1 first ultrasound transducer cells and the N2 second ultrasound transducer cells are configured to be driven to transmit ultrasound together or to receive ultrasound together, and wherein the N.sub.1 first ultrasound transducer cells and the N.sub.2 second ultrasound transducer cells have membranes having different thicknesses.

2. The ultrasound unit according to claim 1, wherein each of the N.sub.1 first ultrasound transducer cells has transmission sensitivity S.sub.T1 and reception sensitivity S.sub.R1, wherein each of the N.sub.2 second ultrasound transducer cells has transmission sensitivity S.sub.T2 (where S.sub.T1>S.sub.T2) and reception sensitivity S.sub.R2 (where S.sub.R1<S.sub.R2), and wherein a following expression is satisfied:
0.9XN.sub.11.1X, where X = 2 S T 2 S R 2 - S T 1 S R 2 - S T 2 S R 1 2 ( S T 1 - S T 2 ) ( S R 1 - S R 2 ) N .

3. The ultrasound unit according to claim 1, wherein each of the N.sub.1 first ultrasound transducer cells has an area A.sub.1, and each of the N.sub.2 second ultrasound transducer cells has an area A.sub.2 (where A.sub.1A.sub.2).

4. The ultrasound unit according to claim 1, wherein each of the N.sub.1 first ultrasound transducer cells has transmission sensitivity S.sub.T1, reception sensitivity S.sub.R1, and an area A.sub.1, wherein each of the N.sub.2 second ultrasound transducer cells has transmission sensitivity S.sub.T2 (where S.sub.T1>S.sub.T2), reception sensitivity S.sub.R2 (where S.sub.R1<S.sub.R2), and an area A.sub.2 (where A.sub.1A.sub.2), and a following expression is satisfied:
0.9ZN.sub.11.1Z, where Z = 2 S T 2 S R 2 A 1 - ( S T 1 S R 2 + S T 2 S R 1 ) A 2 2 S T 1 S R 1 A 2 + 2 S T 2 S R 2 A 1 - ( S T 1 S R 2 + S T 2 S R 1 ) ( A 1 + A 2 ) N .

5. An ultrasound endoscope comprising: an insertion portion comprising a distal end portion, wherein the distal end portion comprises the ultrasound unit according to claim 1.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1 is an exterior view for explaining an ultrasound endoscope of a first embodiment;

(2) FIG. 2 is a perspective view for explaining a configuration of a distal end portion of the ultrasound endoscope of the first embodiment;

(3) FIG. 3 is a perspective view for explaining an ultrasound unit of the first embodiment;

(4) FIG. 4 is a perspective view for explaining an ultrasound transducer element of the ultrasound unit of the first embodiment;

(5) FIG. 5 is a sectional view for explaining a structure of an ultrasound transducer cell of the ultrasound unit of the first embodiment;

(6) FIG. 6 is a top view for explaining arrangement or the like of the ultrasound transducer cells of the element of the ultrasound unit of the first embodiment;

(7) FIG. 7 is a top view for explaining arrangement or the like of ultrasound transducer cells of an element of an ultrasound unit of a second embodiment; and

(8) FIG. 8 is a top view for explaining arrangement or the like of ultrasound transducer cells of an element of an ultrasound unit of a third embodiment.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT

First Embodiment

(9) Hereinafter, an ultrasound unit 30 and an ultrasound endoscope 2 having the ultrasound unit 30 of a first embodiment are described by reference to the drawings. Note that all the drawings are schematic views for explanation, and the number of constituent elements, sizes thereof, and a ratio of the sizes etc. are different from actual values.

(10) <Configuration of an Ultrasound Endoscope System>

(11) As shown in FIG. 1, the ultrasound endoscope 2 together with an ultrasound observation apparatus 3 and a monitor 4 constitute an ultrasound endoscope system 1. The ultrasound endoscope 2 includes an elongated insertion section 41 that is to be inserted into a body, an operation section 42 that is arranged at a proximal end of the insertion section 41, and a universal cord 43 that extends out from a side portion of the operation section 42.

(12) A connector 44A that is connected to a light source apparatus (not shown) is disposed at a proximal end portion of the universal cord 43. A cable 45 that is detachably connected to a camera control unit (not shown) via a connector 45A, and a cable 46 that is detachably connected to the ultrasound observation apparatus 3 via a connector 46A extend out from the connector 44A. The monitor 4 is connected to the ultrasound observation apparatus 3.

(13) The insertion section 41 is configured by continuously providing a distal end portion 47, a bending portion 48 that is located at a rear end of the distal end portion 47, and a small-diameter and long flexible tube portion 49 having flexibility that is located at a rear end of the bending portion 48 and leads to the operation section 42, sequentially from a distal end side. The ultrasound unit 30 is disposed at the distal end portion 47 (see FIG. 2).

(14) In the operation section 42, an angle knob 42A that performs bending control of the bending portion 48 in a desired direction, an air/water feeding button 42B that performs air feeding and water feeding operations, a suction button 42C that performs a suction operation, a treatment instrument insertion port 42D that serves as an inlet for a treatment instrument having a puncture needle or the like to be introduced into a body as described below, or the like are disposed.

(15) As shown in FIG. 2, an illumination lens cover 31 that constitutes an illumination optical system, an observation lens cover 32 of an observation optical system; a forceps port 33, and an unillustrated air/water feeding nozzle are disposed at the distal end portion 47 of the ultrasound endoscope 2 where the ultrasound unit 30 is disposed. As described below, the ultrasound unit 30 has a plurality of ultrasound transducer elements (hereinafter referred to as an element) 60.

(16) As shown in FIG. 3, an external electrode 62A is connected to a conducting wire 81A of a cable 80, and an external electrode 62B is connected to a conducting wire 81B of the cable 80.

(17) As shown in FIG. 4, the element 60 that is a base unit for transmitting/receiving ultrasound has a first main face 60SA, and a second main face 60SB that faces the first main face 60SA. A transmitting/receiving section 61 that transmits/receives ultrasound is formed in a substantially center portion of the first main face 60SA of the element 60. The external electrodes 62A and 62B are disposed at both end portions of the first main face 60SA. As described below, the element 60 has a plurality of ultrasound transducer cells (hereinafter referred to as a cell) 9.

(18) As shown in FIG. 5, the cell 9 of the element 60 has a bottom electrode layer 11, a bottom insulating layer 12, a cavity 13, a support layer 14 thereof, a top insulating layer 15, a top electrode layer 16, and a protective layer 17, which are sequentially laminated on a silicon substrate 10 that serves as a base. Note that dozens to thousands of cells 9 generally constitute one element 60 although FIG. 5 shows a sectional structure of one cell 9.

(19) The bottom electrode layer 11 has a plurality of bottom electrodes 11A, and a plurality of bottom electrode interconnections (not shown) that extend from edge portions of the bottom electrodes 11A. The bottom electrode layer 11 is connected to the bottom electrodes 11A of another cell 9 of the same element 60. The top electrode layer 16 has a plurality of top electrodes 16A, and a plurality of top electrode interconnections (not shown) that extend from the top electrodes 16A. The top electrode layer 16 is connected to the top electrodes 16A of another cell 9 of the same element 60. Each of the cells 9 has the bottom electrodes 11A and the top electrodes 16A that are arranged facing each other with the cavity 13 therebetween.

(20) As described above, all of the bottom electrodes 11A of the plurality of cells 9 arranged in the same element 60 are connected to each other, and all of the top electrodes 16A are also connected to each other. A drive voltage is applied to the bottom electrode layer 11, and the top electrode layer 16 is at ground potential.

(21) When a pulse voltage is applied between the bottom electrode layer 11 and the top electrode layer 16 of the element 60, a membrane (vibration section) 18 including the top electrodes 16A is vibrated by an electrostatic force to generate ultrasound. Also, when ultrasound enters from outside, the membrane 18 is deformed to change an interval between the bottom electrode layer 11 and the top electrode layer 16. Thus, the ultrasound is converted to an electrical signal based on a change in capacitance.

(22) As shown in FIG. 6, in the ultrasound unit 30, the N cells 9 of the element 60 include N.sub.1a first cells 9A and N.sub.2a second cells 9B (where N.sub.1a=N.sub.2a). The second cells 9B have higher reception sensitivity and lower transmission sensitivity than the first cells 9A. That is, the first cells 9A have transmission sensitivity S.sub.T1a and reception sensitivity S.sub.R1a, and the second cells 9B have transmission sensitivity S.sub.T2a (where S.sub.T1a>S.sub.T2a), and reception sensitivity S.sub.R2a (where S.sub.R1a<S.sub.R2a). The transmission sensitivity and the reception sensitivity of the cells 9 can be optimized for transmission or reception by, for example, changing a thickness of the membrane 18.

(23) Hereinafter, transmission/reception sensitivity S of the ultrasound unit 30 (the element 60) is defined as a product of transmission sensitivity S.sub.T (unit: Pa/V) and reception sensitivity S.sub.R (unit: V/Pa), and a condition under which maximum transmission/reception sensitivity S is obtained is theoretically derived.

(24) A total number N.sub.a of the cells 9 of the element 60, a number N.sub.1a of the cells 9A, and a number N.sub.2a of the cells 9B are shown in following (Equation 11).
N.sub.a=N.sub.1a+N.sub.2a(Equation 11)

(25) Transmission sensitivity S.sub.Ta of the element 60 is shown in (Equation 12).
S.sub.Ta=S.sub.T1a.Math.N.sub.1a+S.sub.T2a.Math.N.sub.2a=S.sub.T1a.Math.N.sub.1a+S.sub.T2a.Math.(N.sub.aN.sub.1a)(Equation 12)

(26) On the other hand, reception sensitivity S.sub.Ra of the element 60 is shown in (Equation 13).
S.sub.Ra=S.sub.R1a.Math.N.sub.1a+S.sub.R2a.Math.N.sub.2a=S.sub.R2a.Math.N.sub.1a+S.sub.R2a.Math.(N.sub.aN.sub.1a)(Equation 13)

(27) That is, in the ultrasound unit 30 (the element 60), the first cells 9A having high transmission sensitivity and low reception sensitivity, and the second cells 9B having low transmission sensitivity and high reception sensitivity are both used for transmission and reception.

(28) As already described above, transmission/reception sensitivity S.sub.a of the element 60 is defined in (Equation 14).

(29) ( Equation 14 ) S a = S Ta .Math. S Ra = { S T 1 a .Math. N 1 + S T 2 a .Math. ( N a - N 1 a ) } { S R 1 a .Math. N 1 a + S R 2 a .Math. ( N a - N 1 a ) } = ( S T 1 a S R 1 a + S T 2 a S R 2 a - S T 1 a S R 2 a - S T 2 a S R 1 a ) .Math. N 1 a 2 + ( S T 1 a S R 2 a + S T 2 a S R 1 a - 2 S T 2 a S R 2 a ) .Math. N a N 1 a + S T 2 a S R 2 a N a 2 = ( S T 1 a - S T 2 a ) ( S R 1 a - S R 2 a ) { N 1 a + S T 1 a S R 2 a + S T 2 a S R 1 a - 2 S T 2 a S R 2 a 2 ( S T 1 a - S T 2 a ) ( S R 1 a - S R 2 a ) N a } 2 + S T 2 a S R 2 a N a 2 - ( S T 1 a S R 2 a + S T 2 a S R 1 a - 2 S T 2 a S R 2 a ) 2 .Math. N a 2 4 ( S T 1 a - S T 2 a ) ( S R 1 a - S R 2 a )

(30) The number N.sub.1a of the first cells 9A where maximum transmission/reception sensitivity S.sub.a is obtained is shown in (Equation 15) based on (Equation 14).

(31) N 1 a = 2 S T 2 a S R 2 a - S T 1 a S R 2 a - S T 2 a S R 1 a 2 ( S T 1 a - S T 2 a ) ( S R 1 a - S R 2 a ) N a ( Equation 15 )

(32) Note that the number N.sub.2a of the second cells 9B where the maximum transmission/reception sensitivity S.sub.a is obtained is shown in (Equation 16).

(33) N 2 a = N a - N 1 a = 2 S T 1 a S R 1 a - S T 1 a S R 2 a - S T 2 a S R 1 a 2 ( S T 1 a - S T 2 a ) ( S R 1 a - S R 2 a ) N a ( Equation 16 )

(34) That is, the element 60 where the number N.sub.1a of the first cells 9A is configured as shown in (Equation 15) and the number N.sub.2a of the second cells 9B is configured as shown in (Equation 16) has the maximum transmission/reception sensitivity S.sub.a.

(35) As described above, the ultrasound unit 30 performs transmission and reception by using both the first cells 9A suitable for transmission and the second cells 9B suitable for reception. Therefore, the ultrasound unit 30 has higher transmission sensitivity than a conventional ultrasound unit that performs transmission by using only the first cells 9A suitable for transmission. Similarly, the ultrasound unit 30 has higher reception sensitivity than a conventional ultrasound unit that performs reception by using only the second cells 9B suitable for reception.

(36) Furthermore, the ultrasound unit 30 having the first cells 9A in the number shown in (Equation 15) and the second cells 9B in the number shown in (Equation 16) has high transmission/reception sensitivity. The ultrasound endoscope 2 including the ultrasound unit 30 has high transmission/reception sensitivity.

(37) Note that the number (a ratio) of the cells 9 is not strictly limited to the number shown in (Equation 15) or the like, and the number only needs to be within a range of 10% from the number shown in (Equation 15) or the like according to a relationship of arrangement or the like within the element.

(38) That is, the number N.sub.1a of the first cells 9A only needs to satisfy following (Expression 15A) with respect to the number (X) shown in (Equation 15).
0.91XN.sub.1a1.1X(Expression 15A)

(39) Hereinafter, a case of S.sub.T2a=S.sub.T1a and S.sub.R2a=3S.sub.R1a is described as a specific example.

(40) The number N.sub.1a of the first cells 9A and the number N.sub.2a of the second cells 9B are given by (Equation 17) and (Equation 18) based on (Equation 15) and (Equation 16).

(41) ( Equation 17 ) N 1 a = 2 .Math. 1 / 2 S T 1 a .Math. 3 S R 1 a - S T 1 a .Math. 3 S R 1 a - 1 / 2 S T 2 a S R 1 a 2 ( S T 1 a - 1 / 2 S T 1 a ) ( S R 1 a - S R 1 a ) N a = - 1 / 2 S T 2 a S R 1 a 2 ( 1 / 2 S T 1 a ) ( - 2 S R 1 a ) N a = - 1 / 2 S T 2 a S R 1 a - 2 S T 1 a S R 1 a .Math. N a = 1 4 N a ( Equation 18 ) N 2 a = 2 S T 1 a S R 1 a - S T 1 a .Math. 3 S R 1 a - 1 / 2 S T 1 a S R 1 a 2 ( S T 1 a - 1 / 2 S T 1 a ) ( S R 1 a - 3 S R 1 a ) N a = - 3 / 2 S T 1 a S R 1 a - 2 S T 1 a S R 1 a N a = 3 4 N a

(42) That is, by setting the number of the plurality of cells 9 of the element 60 such that the first cells 9A account for 25%, and the second cells 9B account for 75%, the maximum transmission/reception efficiency is obtained.

(43) Note that the effect is obtained when the number N.sub.1a of the first cells 9A is 22.5% (250.9) or more to 27.5% (251.1) or less of the number N.sub.a of the plurality of cells 9 as already described above.

Second Embodiment

(44) Next, an ultrasound unit 30b and an ultrasound endoscope 2b of a second embodiment are described. Since the ultrasound unit 30b and the like are similar to the ultrasound unit 30 and the like, the same constituent elements are assigned the same reference numerals, and description is omitted.

(45) In an element 60b of the ultrasound unit 30b, first cells 9Ab in a number N.sub.1b are transmit-only cells each having an occupancy area A.sub.1b, and second cells 9Bb in a number N.sub.2b are receive-only cells each having an occupancy area A.sub.2b (where A.sub.1bA.sub.2b).

(46) That is, in the ultrasound unit 30b, a bottom electrode of the first cell 9Ab and a bottom electrode of the second cell 9Bb, which are drive potential electrodes arranged in the element 60b, are not connected together. Note that a top electrode of the first cell 9Ab and a top electrode of the second cell 9Bb, which are ground potential electrodes, may be connected together.

(47) When an area of the transmitting/receiving section 61 where the first cells 9Ab and the second cells 9Bb are arranged in the element 60b is A, and a total of the number of the ultrasound cells constituting the element 60b is N.sub.b, a relationship of (Equation 21) and (Equation 22) holds.
N.sub.b=N.sub.1b+N.sub.2b(Equation 21)
A=A.sub.1b.Math.N.sub.1b+A.sub.2b.Math.N.sub.2b(Equation 22)

(48) That is, the occupancy area of a cell 9b does not mean, for example; a diameter of each cavity, but is an area of a portion enclosed by a line connecting intermediate points between a center when the cell 9b is arranged in the element 60, and a center of another cell 9b around the cell 9b as shown in FIG. 7.

(49) (Equation 23) is obtained by transforming (Equation 22).

(50) N 2 b = 1 A 2 b ( A - A 1 b .Math. N 1 b ) ( Equation 23 )

(51) When transmission sensitivity of the first cells 9Ab is S.sub.Tb and reception sensitivity of the second cells 9Bb is S.sub.Rb, transmission/reception sensitivity S.sub.b of the element 60b is shown in (Equation 24).

(52) S b = ( S Tb .Math. N 1 b ) .Math. ( S Rb .Math. N 2 b ) = S Tb S Rb .Math. 1 A 2 b { ( A - A 1 b .Math. N 1 b ) N 1 b } = - S Tb S Rb .Math. A 1 b A 2 b ( N 1 b 2 - A A 1 b N 1 b ) = - S Tb S Rb .Math. A 1 b A 2 b { ( N 1 b - A 2 A 1 b ) 2 - ( A 2 A 1 b ) 2 } ( Equation 24 )

(53) It is obvious from (Equation 24) that maximum transmission/reception sensitivity S.sub.b is obtained when the number N.sub.1b of the first cells 9Ab satisfies (Equation 25).

(54) N 1 b = A 2 A 1 b ( Equation 25 )

(55) Note that the number N.sub.2b of the second cells 9Bb in the above case is shown in (Equation 26).

(56) N 2 b = 1 A 2 b ( A - A 1 b .Math. A 2 A 1 b ) = 1 A 2 b ( A - A 2 ) = A 2 A 2 b ( Equation 26 )

(57) Therefore, (Equation 27) is obtained from a ratio of the numbers of the ultrasound cells 9Ab and 9Bb.

(58) N 1 b : N 2 b = A 2 A 1 b : A 2 A 2 b N 2 b A 1 b = N 1 b A 2 b N 2 b = A 1 b A 2 b N 1 b ( Equation 27 )

(59) A relationship of the numbers of the ultrasound cells 9Ab and 9Bb is obtained as in (Equation 28) based on (Equation 22) and (Equation 27).

(60) 0 N b = N 1 b + N 2 b = N 1 b + A 1 b A 2 b N 1 b = ( 1 + A 1 b A 2 b ) N 1 b = A 1 b + A 2 b A 2 b N 1 b ( Equation 28 )

(61) Accordingly, the maximum transmission/reception sensitivity S.sub.b is obtained in the ultrasound unit 30b when (Equation 29) is satisfied.

(62) N 1 b = A 2 b A 1 b + A 2 b N b ( Equation 29 )

(63) Note that the number N.sub.2b of the second cells 9Bb where the maximum transmission/reception sensitivity S.sub.b is obtained is shown in (Equation 30).

(64) N 2 b = A 1 b A 1 b + A 2 b N b ( Equation 30 )

(65) Also, the number (the ratio) of the cells 9 is not strictly limited to the number shown in (Equation 29) or the like, and the number only needs to be within a range of 10% from the number shown in (Equation 29) or the like according to a relationship of arrangement or the like within the element.

(66) That is, the number N.sub.1b of the first cells 9Ab only needs to satisfy following (Expression 29A) with respect to the number (Y) shown in (Equation 29).
0.9YN.sub.1b1.1Y(Expression 29A)

(67) Hereinafter, a case in which the area A.sub.2b of the second cell 9Bb is twice the area A.sub.1b of the first cell 9Ab, namely, A.sub.2b=2A.sub.1b is described as a specific example. The number N.sub.1b of the first cells 9Ab and the number N.sub.2b of the second cells 9Bb where the maximum transmission/reception sensitivity S.sub.b is obtained are shown in (Equation 31) and (Equation 32) based on (Equation 29) and (Equation 30).

(68) N 1 b = A 2 b A 1 b + A 2 b N b = 2 A 1 b A 1 b + 2 A 1 b N b = 2 3 N b ( Equation 31 ) N 2 b = A 1 b A 1 b + A 2 b N b = A 1 b A 1 b + 2 A 1 b N b = 1 3 N b ( Equation 32 )

(69) That is, by setting the number or the plurality of cells 9b of the element 60b such that the first cells 9Ab account for of the number of cells, and the second cells 9Bb account for of the number of cells, the maximum transmission/reception efficiency is obtained.

(70) Note that the effect is obtained when the number N.sub.1b of the first cells 9Ab is 60% (()0.9) or more to 73.3% (()1.1) or less of the number N.sub.b of the plurality of cells 9 as already described above.

(71) As described above, the ultrasound unit 30b performs transmission by using only the transmit-only first cells 9Ab, and performs reception by using only the receive-only second cells 9Bb. However, the occupancy area A.sub.1b of the first cell 9Ab and the occupancy area A.sub.1b of the second cell 9Bb differ from each other unlike in the conventional ultrasound unit.

(72) As described above, in the element 60b having the transmit-only cells and the receive-only cells, the number (the ratio) of the cells where the transmission/reception sensitivity has a maximum value is not related to the transmission sensitivity or the reception sensitivity.

(73) The ultrasound unit 30b where each of the elements 60b has the cells 9Ab and 9Bb in the numbers shown in (Equation 31) and (Equation 32) has high transmission/reception sensitivity. The ultrasound endoscope 2b including the ultrasound unit 30b has high transmission/reception sensitivity.

Third Embodiment

(74) Next, an ultrasound unit 30c and an ultrasound endoscope 2c of a third embodiment are described with reference to FIG. 8. Since the ultrasound unit 30c and the like are similar to the ultrasound unit 30 and the like, the same constituent elements are assigned the same reference numerals, and description is omitted.

(75) In an element 60c of the ultrasound unit 30c, an area where ultrasound cells can be arranged is A.sub.c, first cells 9Ac has transmission sensitivity S.sub.T1c, reception sensitivity S.sub.R1c, and an area A.sub.1c, and second cells 9Bc has transmission sensitivity S.sub.T2c (where S.sub.T1c>S.sub.T2c), reception sensitivity S.sub.R2c (where S.sub.R1c<S.sub.R2c), and an area A.sub.2c (where A.sub.1cA.sub.2c).

(76) That is, (Equation 41) holds.
A.sub.c=A.sub.1c.Math.N.sub.1c+A.sub.2c.Math.N.sub.2c(Equation 41)

(77) (Equation 42) is obtained by transforming (Equation 41).

(78) N 2 c = 1 A 2 c ( A c - A 1 c .Math. N 1 c ) ( Equation 42 )

(79) Transmission sensitivity S.sub.Tc of the element 60c is shown in (Equation 43).
S.sub.Tc=S.sub.T1c.Math.N.sub.1c+S.sub.T2c.Math.N.sub.2c(Equation 43)

(80) On the other hand, reception sensitivity S.sub.Rc of the element 60c is shown in (Equation 44).
S.sub.Rc=S.sub.R1c.Math.N.sub.1c+S.sub.R2.Math.N.sub.2c(Equation 44)

(81) Transmission/reception sensitivity S.sub.c of the element 60c is shown in (Equation 45).

(82) S c = S T c .Math. S R c = ( S T 1 c .Math. N 1 c + S T 2 c .Math. N 2 c ) ( S R 1 c .Math. N 1 c + S R 2 c .Math. N 2 c ) = S T 1 c S R 1 c .Math. N 1 c 2 + ( S T 1 c S R 2 c + S T 2 c S R 1 c ) N 1 c N 2 c + S T 2 c S R 2 c .Math. N 2 c 2 = S T 1 c S R 1 c .Math. N 1 c 2 + 1 A 2 c ( S T 1 c S R 2 c + S T 2 c S R 1 c ) ( A c - A 1 c N 1 c ) N 1 c + 1 A 2 c 2 S T 2 c S R 2 c ( A c - A 1 c N 1 c ) 2 ( Equation 45 )

(83) Here, , , and are defined as follows.
=S.sub.T1cS.sub.R1cA.sub.2c.sup.2(S.sub.T1cS.sub.R2c+S.sub.T2cS.sub.R1c)A.sub.1cA.sub.2c+S.sub.T2cS.sub.R2cA.sub.1c.sup.2
={(S.sub.T1cS.sub.R2c+S.sub.T2cS.sub.R1c)A.sub.2c2S.sub.T2cS.sub.R2cA.sub.1c}A.sub.c
=S.sub.T2cS.sub.R2cA.sub.c.sup.2

(84) Accordingly, the transmission/reception sensitivity S.sub.c is expressed in (Equation 46).

(85) S c = 1 A 2 c 2 ( N 1 c 2 + N 1 c + ) = 1 A 2 c 2 { ( N 1 c + 2 ) 2 - ( 2 ) 2 + } ( Equation 46 )

(86) It is obvious from (Equation 46) that maximum transmission/reception sensitivity S.sub.c is obtained when a number N.sub.1c of the first cells 9Ac satisfies (Equation 47).

(87) N 1 c = - 2 = A c 2 .Math. 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c S T 1 c S R 1 c A 2 c 2 - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c A 2 c + S T 2 c S R 2 c A 1 c 2 ( Equation 47 )

(88) On the other hand, a number N.sub.2c of the second cells 9Bc where the maximum transmission/reception sensitivity S.sub.c is obtained is shown in (Equation 48).

(89) N 2 c = 1 A 2 c ( A c - A 1 c .Math. N 1 c ) = 1 A 2 c [ A c - A 1 c { A c 2 .Math. 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c S T 1 c S R 1 c A 2 c 2 - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c A 2 c + S T 2 c S R 2 c A 1 c 2 } ] = A c 2 .Math. 2 S T 1 c S R 1 c A 2 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c S T 1 c S R 1 c A 2 c 2 - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c A 2 c + S T 2 c S R 2 c A 1 c 2 ( Equation 48 )

(90) Therefore, (Equation 49) is obtained based on a ratio of the respective cell numbers.

(91) N 1 c : N 2 c = 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c : 2 S T 1 c S R 1 c A 2 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c N 2 c = 2 S T 1 c S R 1 c A 2 c - ( A T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c 2 S T 2 c S R 2 c A 1 c - ( A T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c N 1 c ( Equation 49 )

(92) When a total of the number of the cells constituting the element 60c is N.sub.c, (Equation 50) and (Equation 51) hold.

(93) 0 N c = N 1 c + N 2 c N c = N 1 c + 2 S T 1 c S R 1 c A 2 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c N 1 c N c = { 1 + 2 S T 1 c S R 1 c A 2 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c } N 1 c N c = 2 S T 1 c S R 1 c A 2 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c + 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c N 1 c N c = 2 S T 1 c S R 1 c A 2 c + 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) ( A 1 c + A 2 c ) 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c N 1 c N 1 c = 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 2 c 2 S T 1 c S R 1 c A 2 c + 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) ( A 1 c + A 2 c ) N c ( Equation 50 ) N 2 c = 2 S T 1 c S R 1 c A 2 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) A 1 c 2 S T 1 c S R 1 c A 2 c + 2 S T 2 c S R 2 c A 1 c - ( S T 1 c S R 2 c + S T 2 c S R 1 c ) ( A 1 c + A 2 c ) N c ( Equation 51 )

(94) The maximum transmission/reception sensitivity S.sub.c is obtained in the element 60c (the ultrasound unit 30c) in which the number N.sub.1c of the first cells 9Ac and the number N.sub.2c of the second cells 9Bc satisfy (Equation 50) and (Equation 51).

(95) Also, the number (the ratio) of the cells 9 is not strictly limited to the number shown in (Equation 50) or the like, and the number only needs to be within a range of 10% from the number shown in (Equation 50) or the like according to a relationship of arrangement or the like within the element.

(96) That is, the number N.sub.1c of the first cells 9Ac only needs to satisfy following (Expression 50A) with respect to the number (Z) shown in (Equation 50).
Z.Math.0.9N.sub.1cZ.Math.1.1(Expression 50A)

(97) For example, N.sub.1c=800 and N.sub.2c=200 when N.sub.c=1000, the transmission sensitivity S.sub.T1c=100 Pa/V, the transmission sensitivity S.sub.T2c=20 Pa/V, the reception sensitivity S.sub.R1c=300 pV/Pa, the reception sensitivity S.sub.R2c=900 pV/Pa, the area A.sub.c=4.2 mm.sup.2, the area A.sub.1c=4000 m.sup.2, and A.sub.2c=5000 m.sup.2.

(98) Note that the effect is obtained when the number N.sub.1c of the first cells 9Ac is 720 (8000.9) or more to 880 (8001.1) or less as already described above.

(99) Since the ultrasound unit 30c has both of the effects of the ultrasound units 30 and 30b, the ultrasound unit 30c has higher transmission/reception sensitivity. The ultrasound endoscope 2c including the ultrasound unit 30c has higher transmission/reception sensitivity.

(100) The present invention is not limited to the aforementioned embodiments or the like, and various changes, modifications, etc. can be made therein without departing from the scope of the present invention.