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Simple Expressions for the Design of Linear Tapers in Overmoded Corrugated Waveguides
S C Schaub1, M A Shapiro1, R J Temkin1
1Plasma Science & Fusion Center, Massachusetts Institute of Technology, 167 Albany St., Bldg. NW16, Cambridge, MA 02139, USA.
Journal of Infrared, Millimeter and Terahertz Waves
|April 8, 2016
Summary
Simple formulas for designing linear tapers in overmoded corrugated waveguides minimize mode conversion loss. Optimal taper length and low fractional loss for the HE11 mode are provided for efficient waveguide design.
Area of Science:
- Electromagnetism and Wave Propagation
- Optical and Microwave Engineering
Background:
- Overmoded corrugated waveguides are crucial for transmitting electromagnetic waves.
- Minimizing mode conversion loss is essential for efficient signal transmission in these waveguides.
Purpose of the Study:
- To develop simple analytical formulas for designing linear tapers in overmoded corrugated waveguides.
- To achieve very low mode conversion loss for the HE11 mode.
- To provide accurate design parameters for tapers with varying radius ratios.
Main Methods:
- Derivation of analytical formulae for optimal taper length and fractional loss.
- Validation of formulae against rigorous mode matching code.
- Comparison of linear taper results with parabolic taper expressions.
Main Results:
- Optimal taper length formula: 3.198*a1*a2/λ.
- Fractional loss for HE11 mode in optimized taper provided.
- Formulae accuracy confirmed for radius ratios up to 4:1; loss < 1% for ratios up to 2.12:1.
Conclusions:
- Simple analytical formulae enable efficient design of linear tapers with minimal mode conversion loss.
- Linear tapers offer a fabrication-friendly alternative to parabolic tapers, especially for moderate radius ratios.
- The derived formulae are highly accurate and validated, offering practical design tools.
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