To Prove Landen Transformation Based on Solution of Asymmetrical Coplanar Strips

Author

Dong Yue ; Du Huaichang ; Wang Nan

Author_Institution

Sch. of Inf. Eng., Commun. Univ. of China, Beijing, China

fYear

2009

fDate

20-22 Sept. 2009

Firstpage

1

Lastpage

3

Abstract

The distributed capacitance and characteristic impedance of asymmetrical coplanar strips (ACPS) and its complementary structure asymmetrical coplanar waveguide (ACPW) are important parameters to represent their peculiarities. In terms of linear fraction mapping, image theory and conformal transformation, ACPS is transformed to symmetrical coplanar strips (SCPS), and the exact solutions of its distributed capacitance and characteristic impedance are obtained. Based on the results, famous Landen transformation is proved easily.

Keywords

conformal mapping; coplanar waveguides; strip lines; Landen transformation; asymmetrical coplanar strips; asymmetrical coplanar waveguide; characteristic impedance; conformal transformation; distributed capacitance; image theory; linear fraction mapping; Capacitance; Capacitance-voltage characteristics; Conductors; Conformal mapping; Coplanar waveguides; Couplings; Impedance; Permittivity; Strips; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Management and Service Science, 2009. MASS '09. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-4638-4

Electronic_ISBN

978-1-4244-4639-1

Type

conf

DOI

10.1109/ICMSS.2009.5301489

Filename

5301489