EXHIBIT 10.18

                       FIRST AMENDMENT TO PURCHASE WARRANT

     This FIRST AMENDMENT TO PURCHASE  WARRANT  ("Amendment") is made as of this
28th day of April, 2004 by and between FONAR CORPORATION, a Delaware corporation
(the "Company"), and THE TAIL WIND FUND LTD. ("Holder").

                              W I T N E S S E T H:

     WHEREAS, pursuant to that certain Purchase Agreement ("Purchase Agreement")
dated as of May 24, 2001 by and between the Company and the Holder,  the Company
sold and  issued to the  Holder  on May 24,  2001,  among  other  securities,  a
purchase warrant ("Warrant") expiring May 24, 2006 to purchase 659,501 shares of
the Company's Common Stock, par value $0.0001 per share ("Common Stock"),  which
Warrant  provides for  adjustment of the Warrant Price and number of unexercised
Warrant Shares  remaining  under Warrant due to issuances of Common Stock by the
Company in accordance with the terms set forth therein;  capitalized  terms used
herein and not otherwise defined herein shall have the meanings ascribed thereto
in the Warrant;

     WHEREAS,  the 659,501 Warrant Shares initially  underlying the Warrant were
registered for resale pursuant to a registration  statement (file no. 333-63782)
originally  filed  with the SEC under the  Securities  Act of 1933,  as  amended
("Securities  Act"),  on June 25, 2001 and declared  effective  November 1, 2001
("Registration Statement"); and

     WHEREAS,  in lieu of  effectuating  adjustments  to the Warrant due to past
issuances of Common Stock by the Company,  the parties desire to amend the terms
of the Warrant as provided herein;

     NOW THEREFORE,  in consideration  of the foregoing  premises and the mutual
covenants  set  forth  in  this  Amendment,  and for  other  good  and  valuable
consideration, the receipt and sufficiency of which are hereby acknowledged, the
parties hereto agree as follows:

1. Amendments.  Notwithstanding  anything contained in the Warrant,  the Warrant
shall be amended as follows:

     (a) Warrant  Price.  The Warrant  Price under the Warrant shall equal $0.79
per share of Common  Stock of the  Company,  subject  to further  adjustment  in
accordance with the terms of the Warrant as amended hereby;

     (b) Warrant  Shares.  The number of unexercised  Warrant  Shares  remaining
under the Warrant as of the date hereof shall equal  1,000,000  Warrant  Shares;
the parties acknowledge that none of the Warrant Shares have been exercised;

     (c) Adjustment for Securities  Issuances.  Clauses 9(d)(A) and 9(d)(B) (and
the colon  preceding  such  clauses)  shall be  deleted  in their  entirety  and
replaced with the  following:  "the Warrant  Price,  then in each such case, the
Warrant  Price  in  effect  immediately  prior to such  issue  or sale  shall be
automatically  reduced  effective  concurrently  with  such  issue or sale to an
amount determined by multiplying the Warrant Price then in effect by a fraction,
(x) the  numerator  of which  shall be the sum of (1) the  number  of  shares of
Common Stock  outstanding  immediately prior to such issue or sale, plus (2) the
number of shares of Common Stock which the aggregate  consideration  received by
the Company for such additional  shares would purchase at the Warrant Price, and
(y) the  denominator  of which shall be the number of shares of Common  Stock of
the Company outstanding immediately after such issue or sale."

     In addition,  the second sentence of the second  paragraph of 9(d) reading,
"For  purposes  of the  preceding  paragraph,  in the event  that the  effective
purchase  price is less than both the Fair Market  Value and the Warrant  Price,
then the calculation method which yields the greatest downward adjustment in the
Warrant Price shall be used," shall be deleted.

     (d) Term.  The term of the Warrant  shall be extended  three (3) years such
that the Expiration Date under the Warrant shall be May 24, 2009.

     (e)  Beneficial  Ownership  Cap. The  Restricted  Ownership  Percentage  in
Section 18(a) shall be reduced from 9.9% to 4.9%.  All of Section 18(b) shall be
deleted except for the last paragraph.

     (f) Additional Exclusion from Adjustments. Section 9(d) shall be amended to
provide  that  neither  the price nor number of Warrant  Shares  covered by this
Warrant  shall be adjusted  by any  issuance  of up to  1,500,000  shares of the
Company's  Common  Stock to the  stockholders  of Advanced  Medical  Diagnostics
Corporation, a majority-owned subsidiary of Fonar ("AMD"), in exchange for their
shares of stock of AMD (which shall not be a capital raising transaction).

     (g) No Liability for Not Giving Notice. The Company shall have no liability
to the Holder for failure in the past to notify the Holder of any adjustments to
the price or number of Warrant Shares that may have resulted from past issuances
of Common Stock by the  Company,  whether  under the terms of the  Warrant,  the
Purchase  Agreement,  the Registration  Rights Agreement or otherwise  (provided
that this provision shall not affect  liability for adjustment  notices required
in the future).

2.  Replacement  Warrant.  The Company agrees to promptly execute and deliver to
the  Holder  a  replacement  Warrant  reflecting  the  foregoing  amendments  in
substitution  of the originally  issued Warrant,  the form of which  replacement
Warrant  is  attached  hereto as  Exhibit  A. The  Company  shall  deliver  such
replacement  Warrant to the  Holder's  counsel or as  otherwise  directed by the
Holder  promptly  following the return to the Company of the  originally  issued
Warrant.  Notwithstanding  any delay in the exchange of the replacement  Warrant
for the original Warrant,  the amendment contained herein shall become effective
upon the  execution  and delivery of this  Amendment,  subject to the  condition
precedent set forth in Section 4 hereof.

3. Registration Rights.

     (a)  Prospectus  Supplement.  Within three (3) business days  following the
date hereof,  the Company shall,  at its sole cost and expense and in accordance
with the  Securities  Act,  file a  prospectus  supplement  to the  Registration
Statement with the SEC covering the changes to the Warrant described herein.

     (b) Registration Rights. In the event that there are an insufficient number
of shares remaining covered by Registration Statement, the Company shall, at its
sole cost and expense and in accordance  with the  Securities  Act, use its best
efforts (1) to promptly file and have declared  effective a resale  registration
statement on the appropriate form under the Securities Act with the SEC covering
all  additional  Warrant  Shares issued or issuable upon exercise of the Warrant
which  are not  covered  by the  Registration  Statement,  and (2) to keep  such
registration  statement  current and  effective  until all such  shares  covered
thereby are  available for resale  pursuant to Rule 144(k) under the  Securities
Act, or until such earlier date as all such shares  covered  thereby  shall have
been  sold  ("Registration  Period").  All  the  terms  and  conditions  of  the
Registration  Rights  Agreement  dated  as of May 24,  2001 by and  between  the
Company and the Holder  ("Registration  Rights Agreement"),  shall apply mutatis
mutandis  to  the   registration  of  such  Warrant  Shares  and  the  continued
registration  of Warrant  Shares  under the  Registration  Statement,  including
without limitation the  indemnification  and contribution  provisions  contained
therein, and all such terms are incorporated by reference herein,  provided that
(a) the Registration Date for any such new registration statement shall mean the
date which is six (6) months  following  the date on which counsel to either the
Company or Holder makes a reasonable  determination that an insufficient  number
of  shares  remain  covered  by  the   Registration   Statement,   and  (b)  the
"Registration Period" with respect to such new registration statement shall have
the meaning set forth in the previous sentence.

     (c) Amendment to Registration  Rights  Agreement.  The Registration  Rights
Agreement  is hereby  amended  such that the  "Registration  Period"  as defined
therein  shall  continue  from the date  hereof  until all such  shares  covered
thereby are  available for resale  pursuant to Rule 144(k) under the  Securities
Act or until such  earlier  date as all such  shares  covered by the  applicable
Registration Statement have been sold.

4. Condition  Precedent.  This Amendment is being executed  concurrently with an
Amendment  to Callable  Warrant  dated the date hereof and will not be effective
until such Amendment to Callable Warrant is also effective.

5. Miscellaneous.

     (a) Full Force and Effect.  Except as otherwise  expressly provided herein,
each of the Purchase Agreement,  the Registration Rights Agreement, the Warrant,
the First and Second  Amendments to Callable  Warrant,  and the other agreements
and transactions  contemplated thereby shall remain in full force and effect, to
the extent they are presently in force,  provided,  however,  that to the extent
any provision  thereof is inconsistent  with any of the terms of this Amendment,
the provisions of this Amendment will apply.

     (b) Consent to Jurisdiction, Etc. Each of the Company and Holder agree that
any legal  action or  proceeding  relating  to or  arising  out of or under this
Amendment  may be  brought  in the state or  federal  courts in the State of New
York,  County of New York, and each party accepts with regard to any such action
or  proceeding  for  itself  and in  respect  to  its  property,  generally  and
unconditionally,  the jurisdiction of the aforesaid  courts.  Each party further
irrevocably  consents to the service of process out of any of the aforementioned
courts in any such  action or  proceeding  by the  mailing of copies  thereof by
registered  or certified  U.S.  mail,  postage  prepaid,  to it at its addresses
provided  in the  Purchase  Amendment,  such  service to become  effective  upon
receipt or five (5) days after such mailing, whichever shall first occur. To the
fullest extent permitted by applicable law, each party hereby waives, and agrees
not to assert, by way of motion, defense, counterclaim or otherwise, in any such
suit,  action or proceeding any claim that (i) it is not  personally  subject to
the  jurisdiction of any of the above-named  courts by reason of any immunity or
otherwise,  (ii) its properties  are exempt or immune from setoff,  execution or
attachment,  either  prior to judgment or in aid of execution or (iii) any suit,
action or proceeding so brought is in an inconvenient forum or that the venue of
the suit, action or proceeding is improper or that the subject matter hereof may
not be enforced in or by such courts.

     (c)  Authority.  Each party hereto  hereby  represents  and warrants to the
other party that the execution and delivery by such party of this Amendment, and
the performance by such party of its obligations  hereunder,  have been duly and
validly authorized by such party, with no other action on the part of such party
being necessary. This Amendment has been duly and validly executed and delivered
by such party and  constitutes  a legal,  valid and binding  obligation  of such
party enforceable against such party in accordance with its terms.

     (d)  Governing  Law. This  Amendment  shall be governed by and construed in
accordance with the internal laws of the State of New York.

     (e) Notices. All notices,  requests and other communications hereunder must
be in  writing  and will be deemed to have been  duly  given  only if  delivered
personally,  by courier or by  facsimile  transmission  or mailed  (first  class
postage prepaid) to the parties at the addresses or facsimile  numbers set forth
in the Purchase Agreement.

     (f)  Counterparts.  This  Amendment  may  be  executed  in  any  number  of
counterparts,  each of  which  will be  deemed  an  original,  but all of  which
together will  constitute  one and the same  instrument.  This  Amendment may be
executed by facsimile.

     (g) Further  Assurances.  Each party shall do and  perform,  or cause to be
done and  performed,  all such  further acts and things,  and shall  execute and
deliver all such other agreements,  certificates,  instruments and documents, as
the other  party may  reasonably  request  in order to carry out the  intent and
accomplish  the  purposes  of  this  Amendment  and  the   consummation  of  the
transactions contemplated hereby.

     (h) Assignment;  Successors. Neither Holder nor the Company may assign this
Amendment or its respective  rights or obligations  hereunder  without the prior
written consent of the other, which may not be unreasonably withheld or delayed.
This Amendment shall be binding upon the Company's successors.

                    *** Signatures Appear on the Next Page***



     IN WITNESS WHEREOF, each of the parties hereto has caused this Amendment to
be duly executed as of the date first written above.



                                               FONAR CORPORATION

                                               By:/s/Raymond V. Damadian
                                               Raymond Damadian, M.D., President



                                               THE TAIL WIND FUND LTD.
                                               By:      TAIL WIND ADVISORY AND
                                               MANAGEMENT LTD., as
                                               investment manager

                                                         By: /s/David Crook
                                                         Name:    David Crook