Hi, all.
I found some helpful information on this topic.
Dr.John_L.Volakis.Antenna Engineering Handbook Fourth Edition.pdf - there's a chapter in this book on this topic with lots of references to other works.
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Traveling-Wave Slot Antennas *
J. N. HINESt, ASSOCIATE, IRE, V. H. RUMSEY, SENIOR MEMBER, IRE, AND
C. H. WALTER, ASSOCIATE, IRE
- a way to control sidelobes level in leaky-wave antennas. I simulated this structure in CST Microwave, but got zero result - sidelobes level the same as with straight long slot...