Reddit reviews Antenna Theory: Analysis and Design, 3rd Edition

To further elaborate, you're describing an antenna and any antenna book will discuss various versions of the problem at length. Balanis is good : http://www.amazon.com/Antenna-Theory-Analysis-Design-Edition/dp/047166782X

Well, you can start at microwave engineering and work your way back to DC: Pozar

edit:

Antenna engineering is fun and mathy:

Balanis

Stutzmann and Thiele

It already is! In the form of textbooks!

Read this:

• http://www.textbooks.com/BooksDescription.php?BKN=910505&SBC=DDF&kpid=9780135072936N&kenshu=cdea7d76-57dd-484e-872e-ff3c16bd5b17&mcid=XKS-7564-41-1932-GoogleShopping-PRIDREPLACE-291&gclid=CIv5iaKTn9MCFQGraQodVlsC2Q
  
  
• https://ocw.mit.edu/resources/res-6-002-electromagnetic-field-theory-a-problem-solving-approach-spring-2008/textbook-contents/
  
  
• https://www.amazon.com/Antenna-Theory-Analysis-Design-3rd/dp/047166782X
  
  If you don't have a strong multivariable calculus and differential equations background:
  
  
• https://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/
  
  
• Diff eq text: http://www.textbooks.com/BooksDescription.php?BKN=1745216&SBC=MBD&kpid=9781939512048U&kenshu=cdea7d76-57dd-484e-872e-ff3c16bd5b17&mcid=XKS-7564-41-341-GoogleShopping-PRIDREPLACE-291&gclid=CKC65f-Tn9MCFQiHaQodh_wE_w
  
  Read and understand these. Than go and answer your own questions.

MSEE (wireless & communications) here. I perform studies and do various research on communications technologies and am involved in all 4 of the items you listed (though I am more of an antenna user than theorist).

I would start by trying to do some reading of introductory books on all of these subjects and at the same time trying to do something practical to reinforce these things. RF instrumentation is generally VERY expensive, but check out /r/RTLSDR. There is some pretty neat stuff that you can do yourself for a $20 investment.

As far as books, I just got a great new book that really provides a substantiative, modern overview of communication standards. Balanis is basically the gold standard for antenna reference books though most find this text pretty dry. I am not going to be very effective at providing you an overview of RF Engineering book or Networking book, I have many but none I would recommend as a good 'overview' since the subjects are so broad.

If you have any more specific questions I would be happy to help if I can. Just read, read, read and back that up with some practical knowledge. Being able to communicate some information about practical experiences during interviews etc... will go a long way.

> Balanis

Is this what you're talking about: Antenna Theory: Analysis and Design, 3rd Edition?