Asymmetric Passive Components in Microwave Integrated by Hee-Ran Ahn

By Hee-Ran Ahn

This booklet examines the hot and critical expertise of uneven passive elements for miniaturized microwave passive circuits. The uneven layout equipment and ideas set forth by way of the writer are groundbreaking and feature now not been handled in past works. Readers notice how those layout tools decrease the circuit measurement of microwave built-in circuits and also are severe to lowering the price of gear resembling mobile telephones, radars, antennas, vehicles, and robots.An introductory bankruptcy at the historical past of uneven passive elements, which all started with uneven ring hybrids first defined through the writer, units the heritage for the ebook. It lays a superb beginning with a bankruptcy reading microwave circuit parameters similar to scattering, ABCD, impedance, admittance, and photograph. A beneficial function of this bankruptcy is a conversion desk among many of the circuit matrices characterizing two-port networks terminated in arbitrary impedances. the proper conversion has additionally by no means been taken care of in earlier works.Next, the writer units forth a radical remedy of uneven passive part layout, which covers the elemental and integral components for integration with different lively or passive units, including:* uneven ring hybrids* uneven branch-line hybrids* uneven three-port energy dividers and N-way strength dividers* uneven ring hybrid part shifters and attenuators* uneven ring filters and uneven impedance transformersWith its specialise in the rules of circuit point layout, this can be a must-have graduate-level textbook for college students in microwave engineering, in addition to a reference for layout engineers who are looking to research the hot and robust layout procedure for uneven passive elements.

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120b) p BC D 1 is used. 3 Image Parameters and Their Relation to General Circuit Parametersa [ABCD] [Z ] ZI1 √ ZI 1 √AB/CD ZI 2 DB/CA √ γ cosh−1 √ AD sinh−1 BC √ coth−1 AD/BC √ A = √ZI 1 /ZI 2 cosh γ B = ZI 1 Z√ I 2 sinh γ C = sinh √ γ / ZI 1 ZI 2 D = ZI 2 /ZI 1 cosh γ a 1 [Y ] Two-port network √ √(Z11 |Z|)/Z22 (Z22 |Z|)/Z11 √ cosh−1 [ Z11 Z22 /Z21 ] √ sinh−1 [√ |Z|/Z21 ] coth−1 (Z11 Z22 )/|Z| Z11 Z12 Z21 Z22 =Z √I 1 coth γ = ZI 1 ZI 2 / sinh γ = Z12 = ZI 2 coth γ Mixed ZI2 2 √ √Y22 /(Y11 |Y |) Y11 /(Y22 |Y |) √ cosh−1 [ Y11 Y22 /Y21 ] √ sinh−1 [√ |Y |/Y21 ] coth−1 (Y11 Y22 )/|Y | Y11 Y12 Y21 Y22 √ √Z11 /Y11 Z22 /Y22 = YI√ 1 coth γ = − YI 1 YI 2 / sinh γ = Y12 = YI 2 coth γ √ coth−1 √Z11 Y11 , −1 Z22 Y22 coth −1 |Z| = Z11 Z22 − Z21 Z12 , |Y | = Y11 Y22 − Y12 Y21 , YI 1 = ZI−1 1 , YI 2 = ZI 2 .

To derive the scattering matrix of the equivalent n-port network, begin by placing partitioning lines after the nth row and the nth column of the original (n + k)-port matrix, as expressed by      a1 b1 S11 S12 · · · S1n S1,n+1 · · · S1,n+k    a2   b2  ..   S    S22 · · · S2n . ··· .  21  .   .    .    .  .. ..  ..   ..   .  . ··· . ··· .       S   an   bn  S · · · S S · · · S =   n1   n,n n,n+k   n2 n,n+1    - - - - - - - -- , - - - -  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - -   Sn+1,1 · · · · · · Sn+1,n Sn+1,n+1 · · · Sn+1,n+k   an+1   bn+1        .

32) ------ which can then be rewritten as      B1 P11 A1 P12 - - -  =  - - - - - - - - - - -  , B2 P21 A2 P22 where  b1  b2    B1 =  .  ,  ..  bn   a1  a2    A1 =  .  ,  ..  an   bn+1  bn+2    B2 =  .  ,  .. 33)  an+1  an+2    A2 =  .  .  .. 6 Incident and reflected waves associated with an (n + k)-port network. P11 , P12 , P21 , and P22 represent the partitioned submatrices of the original (n + k)port scattering matrix.

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