Progress In Electromagnetics Research M
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By S. S. Kakatkar, A. A. Deshmukh, and K. P. Ray

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A compound or an offset inclined slot fed by a rectangular waveguide has been analysed using the image method for the evaluation of internal admittance in the Method of Moments framework. The internal admittance has been evaluated from the 2D infinite planar array equivalent image representation of a slot in a waveguide. The advantages offered by this method include the freedom to work in slot coordinates rather than the waveguide coordinates, the reuse of external admittance for air filled waveguides, and the flexibility in the choice of the mutual admittance evaluation technique. Unlike the conventional mode method, the proposed technique does not run into difficulties while evaluating the fields from longitudinal magnetic current for points in the same transverse plane. The θ-algorithm has been used for the convergence acceleration of the series of mutual admittances in the internal admittance evaluation and has been shown to yield better results than other convergence acceleration algorithms investigated. The results obtained from this method have been shown to agree within 0.5% average with those from other theoretical techniques and within 1% average with measurements. The proposed method is useful in the design of compound slot arrays and can be extended to other configurations where the image representation is possible and for various slot aperture distributions.

S. S. Kakatkar, A. A. Deshmukh, and K. P. Ray, "Analysis of a Rectangular Waveguide Fed Compound Slot by Image Method," Progress In Electromagnetics Research M, Vol. 95, 83-92, 2020.

1. Maxum, B. J., "Resonant slots with independent control of amplitude and phase," IRE Trans. Antennas Propag., Vol. 8, No. 4, 383-388, Jul. 1960.

2. Rengarajan, S. R., "Compound radiating slots in a broadwall of a rectangular waveguide," IEEE Trans. Antennas Propag., Vol. 37, No. 9, 1116-1123, 1989.

3. Montesinos-Ortego, I., M. Zhang, M. Sierra-Perez, J. Hirokawa, and M. Ando, "Systematic design methodology for one-dimensional compound slot-arrays combining method of moments, equivalent circuit model and forward matching procedure," IEEE Trans. Antennas Propag., Vol. 61, 453-458, Jan. 2013.

4. Rengarajan, S. R., "Compound broad-wall slots for array applications," IEEE Antennas Propag. Mag., Vol. 32, 20-26, Dec. 1990.

5. Watson, W. H., The Physical Principles of Waveguide Transmission and Antenna Systems, Clarendon Press, Oxford, Eng., 1947.

6. Stevenson, A. F., "Theory of slots in rectangular waveguides," J. Appl. Phys., Vol. 19, 24-38, 1948.

7. Kakatkar, S. S. and K. P. Ray, "Simplified analysis of resonant complex slots in a waveguide," IEEE Appl. Electromagn. Conf. (AEMC 2011), 1-5, Kolkata, India, Dec. 2011.

8. Ren, W., B.-Q. Gao, Z.-H. Xue, W.-M. Li, and B. Liu, "Full-wave analysis of broad wall slots characteristics in rectangular waveguides," IEEE Trans. Antennas Propag., Vol. 52, 2436-2444, Sept. 2004.

9. Casula, G., G. Mazzarella, and G. Montisci, "Improved design techniques for high performance planar waveguide slot arrays," 2019 PhotonIcs & Electromagnetics Research Symposium — Fall (PIERS — FALL), 2819-2829, Xiamen, China, Dec. 17–20, 2019.

10. Liu, C., W. Cao, X. Cao, and W. Li, "Direct synthesis of slot arrays for 5g communication applications," IEICE Electronics Express, Vol. 17, No. 11, 2020.

11. Coetzee, J. and S. Sheel, "Improved model for inclined coupling slots in the feed of a planar slot array," IEEE Transactions on Antennas and Propagation, Vol. 68, 1166-1169, Feb. 2020.

12. Rajeek, A. M. and A. Chakraborty, "Analysis of a wide compound slot-coupled parallel waveguide coupler and radiator," IEEE Trans. Microw. Theory Techn., Vol. 43, 802-809, Apr. 1995.

13. Mahon, J., "An alternative representation for green’s functions used in rectangular waveguide slot analysis," Journal of Electromagnetic Waves and Applications, Vol. 4, No. 7, 661-672, 1990.

14. Seki, H., "Analysis of waveguide directional filters by the moment method," Int. J. Microw. Millimeter-Wave Comp.-Aided Eng., Vol. 3, No. 3, 183-191, 1993.

15. Kakatkar, S. S. and K. P. Ray, "Efficient analysis of waveguide longitudinal slot with edge condition using the sum of images," IEEE Appl. Electromagn. Conf. (AEMC 2013), 1-2, Bhubaneshwar, India, Dec. 2013.

16. Kakatkar, S. S. and K. P. Ray, "Analysis of longitudinal slot in a rectangular waveguide using image series and Chebyshev-Toeplitz algorithm," Int. Conf. Microw. and Photonics (ICMAP 2013), 1-5, Dhanbad, India, Dec. 2013.

17. Kakatkar, S. S. and K. P. Ray, "Image series analysis of broadwall longitudinal slot coupler between parallel waveguides," 2015 Int. Conf. Microw. and Photonics (ICMAP 2015), 1-2, Dhanbad, India, Dec. 2015.

18. Kakatkar, S. S. and K. P. Ray, "Application of levin’s t-transform in image series analysis of rectangular waveguide slot," Proc. Int. Symp. Antennas and Propag. (APSYM 2014), 169-172, Department of Electronics, CUSAT, Kochi, India, 2014.

19. Kakatkar, S. S., A. A. Deshmukh, and K. P. Ray, "Internal admittance elements of a rectangular waveguide longitudinal slot using the image method," Electromagn., Vol. 39, No. 5, 356-374, 2019.

20. Kakatkar, S. S. and K. P. Ray, "Evaluation of mutual coupling between slots from dipole expressions," Progress In Electromagnetics Research M, Vol. 9, 123-138, 2009.

21. Rengarajan, S. R. and E. Gabrelian, "Efficient and accurate evaluation of external mutual coupling between compound broad wall slots," IEEE Trans. Antennas Propag., Vol. 40, 733-737, Jun. 1992.

22. Mazzarella, G. and G. Panariello, "On the evaluation of mutual coupling between slots," IEEE Trans. Antennas Propag., Vol. 35, 1289-1292, Nov. 1987.

23. Malherbe, J. and D. Davidson, "Mutual impedance for halfcosinusoid slot voltage distribution: An evaluation," IEEE Trans. Antennas Propag., Vol. 32, 990-991, 1984.

24. Josefsson, L. G., "Analysis of longitudinal slots in rectangular waveguides," IEEE Trans. Antennas Propag., Vol. 35, 1351-1357, 1987.

25. Singh, S. and R. Singh, "A convergence acceleration procedure for computing slowly converging series," IEEE Trans. Microw. Theory Techn., Vol. 40, 168-171, Feb. 1992.

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