Transient attenuation of separate loop coupler with cascade connection

The multistage connection of the couplers allows you to expand the working band and realize less transient attenuation. Transient attenuation is a part of the power passing into the auxiliary channel of the coupler.

coupler_attenuation

Transient attenuation of one coupler from the cascade, measured in decibels.

Symbol:

A_0

Latex:

\(A_{0}\)

Dimension:

dimensionless

cascade_attenuation

Transient attenuation of the cascade, measured in decibels.

Symbol:

A

Latex:

\(A\)

Dimension:

dimensionless

coupler_count

Number of couplers in the cascade. See positive_number.

Symbol:

N

Latex:

\(N\)

Dimension:

dimensionless

law

A_0 = 20 * log(sin(N * asin(10^(A / 20))), 10)

Latex:
\[A_{0} = 20 \log_{10} \left( \sin{\left(N \operatorname{asin}{\left(10^{\frac{A}{20}} \right)} \right)} \right)\]