Every policy is going to have own occ, it's a matter of how long the own occ period is before it switches to any occ (90, 180 days, etc). They (the carrier) might be able to remove any occ (maybe that's what they mean, thus leaving only the own occ verbage) or they can, rarely, offer own specialty (break a finger and a surgeon is disabled, for example).
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udontknowmyname makes a good point, although just a slight bit off. There are some insurance carriers out there that offer the Own Occupation definition of disability for a specified time frame, 2-year or 5-year (not 90 or 180 days). However, these are NOT the contracts you want to be purchasing (unless you are not healthy enough to qualify for standard coverage). You should be looking for Own-Occupation coverage for the entire benefit period (To age 65, or longer). To help you further understand the definition of total disability, here are the two versions you will likely see as you begin "shopping".
-"Totally disabled means that due to illness or injury you are unable to perform the material and substantial duties of your occupation, and are not gainfully employed elsewhere."
-"Totally disabled means that due to illness or injury you are unable to perform the material and substantial duties of your occupation."
If you notice, the first definition includes "and are not gainfully employed elsewhere". This is the most common definition available today, and as a Dr looking to protect his specialty, this is NOT what you want. The first version is known in the industry as "Modified Own Occ" where as the second definition is the "True Own Occ" (best option). The True Own Occ allows you to receive benefits when you satisfy the definitin and requirements, even if you are working in some other capacity (or medical specialty in your case).
cchoukal also makes a good point in stating that you should compare options. However, be sure that if the person you work with does not show you the "True Own Occupation", you find a new agent to work with. Chances are, that agent is either inexperienced or motivated to sell you his company's product rather than the best option for you.
Lastly, if you can afford it, purchasing coverage during residency is better. If you are going to buy coverage in a couple of months anyway, why bother waiting. The only downside is being subject to the limitations for residents. However if you work with the right agent, you may even be able to insure the full income you will be earning this summer.